Jeremiah is conducting an investigation about the water cycle. He is given the following materials:
a lamp
a glass jar that contains water
plastic wrap
Describe how Jeremiah can arrange these materials to create a model that shows the processes by which water is cycled from a lake into the atmosphere and back to the lake. Be sure to identify what each material represents in the model.
Answers
Answer:
The water cycle outlines the continuous water movement in liquid, solid and gaseous state between locations on the Earth's surface.
The glass jar represents the lake while the atmosphere is represented by the space above the water, and the sky is represented by the (clear) plastic wrap
Arrangement description and Processes;
The processes of the water cycle includes;
Evaporation;
Condensation
Precipitation
Sublimation
Runoff
Infiltration
The arrangement of the materials is as follows;
Place the glass jar (the lake) containing water and the lamp (the Sun) side by side, such that the lamp light shines on the water surface
Cover the glass jar by wrapping the plastic wrap (the sky) around it to prevent the escape of water vapor when the water is hot.
Switch on the lamp so that it heats the water by radiation heat transfer
Observed processes;
The processes demonstrated by the above experiment includes;
1) Evaporation: As the water in the glass jar becomes warmer, the level of the water in the jar can be observed to decrease slightly due to evaporation
2) Condensation: Fog formation, Clouds
When hotter, the water surface as seen through the clear plastic wrap becomes less clearer due to evaporation, and condensation of the vapor while floating above the water surface, similar to the clouds seen in the sky.
3. Precipitation: Rain;
The clear plastic wrap covering the top of the glass jar, prevents the movement of the vapor further away, such that the tiny condensed vapor gather together, to form big droplets under the plastic wrap that falls back into the jar, which is similar to the process of rainfall
The above processes are repeated as more water evaporates from the jar condenses on the plastic wrap and falls back into the jar, showing the process by which water is recycled from the lake into the atmosphere and back to the lake.
Explanation:
Related Questions
Consider a double-paned window consisting of two panes of glass, each with a thickness of 0.500 cm and an area of 0.760 m2 , separated by a layer of air with a thickness of 1.65 cm . The temperature on one side of the window is 0.00 ∘C; the temperature on the other side is 23.0 ∘C. In addition, note that the thermal conductivity of glass is roughly 36 times greater than that of air. Approximate the heat transfer through this window by ignoring the glass. That is, calculate the heat flow per second through 1.65 cm of air with a temperature difference of 23.0 ∘C . (The exact result for the complete window is 24.4 J/s .)
Answers
The approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.
To approximate the heat transfer through the air layer in the double-paned window, we can assume that the glass layers have a negligible impact on the heat flow. The heat transfer can be calculated using Fourier's Law of Heat Conduction, which states that the heat flow (Q) is proportional to the temperature difference (ΔT) and inversely proportional to the thickness (L) and thermal conductivity (k) of the material.
First, we need to calculate the effective thermal conductivity of the air layer due to its thickness and the thermal conductivity ratio between air and glass. Let's denote the thermal conductivity of air as k_air and the thermal conductivity of glass as k_glass. Since glass has a thermal conductivity roughly 36 times greater than air, we have k_glass = 36 * k_air.
Next, we calculate the effective thermal conductivity of the air layer as:
k_eff = (k_air * L_air) / (L_air + k_glass)
Substituting the given values, we have:
k_eff = (k_air * 0.0165 m) / (0.0165 m + 0.005 m) = 0.01309 * k_air
Now, we can calculate the heat flow per second through the air layer using the formula:
Q = (k_eff * A * ΔT) / L_air
Substituting the given values, we get:
Q = (0.01309 * k_air * 0.760 m^2 * 23.0 K) / 0.0165 m = 24.4 J/s
Therefore, the approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.
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A 2800-lbm car climbs a 1160 ft. long uphill road which is inclined at 15o (to the horizontal) and covers the distance in 12 sec. Determine the power required if the car covers the distance (a) at constant velocity, (b) from an initial velocity, at the bottom of the hill, of 10 mph to a final velocity of 50 mph at the top of the hill and (c) from an initial velocity of 45 mph to a final velocity of 15 mph. Neglect the effects of friction and wind resistance.
Answers
Answer:
a) P = 70054.3 W, b) P = 18820 W, c) P = 14116.7 W
Explanation:
Power is defined as work per unit of time
P = W / t = F x / t
P = F v
a) in this case the velocity is constant, let's use the equilibrium relation to find the force.
Let's set a reference system with the x axis parallel to the plane
F - Wₓ = 0
F = Wₓ
with trigonometry let's decompose the weight
sin θ = Wₓ / W
Wₓ = W sin θ
F = W sin 15
F = 2800 sin 15
F = 724.7 lb
we look for the speed, as it rises with constant speed we can use the relations of uniform motion
v = x / t
v = 1160/12
v = 96.67 ft / s
we calculate the power
P = 724.7 96.67
P = 70054.3 W
b) In this case, the speed of the vehicle changes during the ascent, so we use the relationship between work and the change in kinetic energy
W = ΔK
W = ½ m v_f² - ½ m v₀²
let's reduce to the SI system
v₀ = 10 mph (5280 ft / 1 mile) (1h / 3600 s = 14.67 ft / s
v_f = 50 mph (5280 ft / 1 mile) (1 h / 3600s) = 73.33 ft.s
mass : m = w / g
W = ½ 2800/32 (73.33² - 14.67²)
W = 225841 J
we calculate the average power
P = W / t
P = 225841/12
P = 18820 W
c) we repeat the previous procedure
v₀ = 45 mph = 66 ft / s
v_f = 15 mph = 22 ft / s
W = ½ 2800/32 (22² - 66²)
W = -169400 J
P = W / t
P = 169400/12
P = 14116.7 W
Which of the following has the greatest momentum? *
(20 Points)
tortoise with a mass of 270 kg moving at a velocity of 0.5 m/s
hare with a mass of 2.7 kg moving at a velocity of 7 m/s
turtle with a mass of 91 kg moving at a velocity of 1.4 m/s
roadrunner with a mass of 1.8 kg moving at a velocity of 6.7 m/s
Answers
Answer:
Tortoise with a mass of 270 kg moving at a velocity of 0.5 m/s
Explanation:
From the question above,
(1) tortoise with a mass of 270 kg moving at a velocity of 0.5 m/s
Mometum = mass×velocity
Momentum = 270×0.5
Momentum = 135 kgm/s
(2) hare with a mass of 2.7 kg moving at a velocity of 7 m/s
Mementum = mass × velocity
Momentum = 2.7×7
Momentum = 18.9 kgm/s
(3) turtle with a mass of 91 kg moving at a velocity of 1.4 m/s
Momentum = mass × velocity
Momentum = 91×1.4
Momentum = 127.4 kgm/s
(4) roadrunner with a mass of 1.8 kg moving at a velocity of 6.7 m/s
Momentum = mass × velocity
Momentum = 1.8×6.7
Momentum = 12.06 kgm/s
From the above, the one with the greatest momentum is tortoise with a mass of 270 kg moving at a velocity of 0.5 m/s
A pilot wants to fly north. The plane has an air speed of
350 km/h. There is a 25 km/h wind blowing to the west.
(a) What is the plane's velocity relative to the ground?
(b)What is its heading?
Explain me in details. I’ll give u the brainliest if you give me the right answer.
Answers
Answer:
A? Cause is needs the Velocity more than the Heading.
The absolute Temprature of an ideal diatomic gas is quadrupied. What happens to the average sp eed of molecules?
Answers
If the absolute temperature of an ideal diatomic gas is quadrupled, then, the average speed of molecules is doubled.
\([V_avg=\sqrt(8k *4T)/\pi m],[V_avg=2\sqrt(8kT) \pi m],[V_avg=2v_avg]\)
Speed (often abbreviated as "s") is a scalar variable that describes how much an object's location changes over time or how much it changes per unit of time. The average speed of an item in a period of time is the distance traveled by the object divided by the duration of the period.
Time divided by distance are the speed-related metrics.. The meter per second (m/s) is the SI unit of speed, while the kilometer per hour (kph) is the most often used unit of speed in daily life.
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Two protons (charge q = 1.602·10-19 C) move at the same speed v= 1.6 ·105 m/s in opposite directions parallel to the x-axis. At the instant when they are at the same x-position, the proton moving in the negative direction is at distance r= 0.7 m in the positive y-direction with respect to the one moving in the positive direction. What is the magnetic field direction at the point of the proton moving in the negative direction? What is the magnetic force direction experienced by the proton moving in the negative direction?
Answers
The magnitude of the magnetic field at the point of the proton moving in the negative direction is equal to 18.39 × 10⁻¹⁵ T.
The magnetic force direction that is experienced by the proton moving in the negative direction is equal to 4.71 x 10⁻²⁸ N.
What is the magnetic field due to proton?The magnitude of the magnetic field at distance 'r' at the point of the proton moving in the negative direction is determined as follows;
F = qvB = (kq²)/r²
qvB = kq²/r²
B = kq/vr²
where, k is the coulomb's constant, r is the distance between the protons, q is the magnitude of the charge of the protons, and v is the speed of the proton.
Given the charge n the proton, q = 1.602 x 10⁻¹⁹C
The speed of the proton, v = 1.6 x 10⁵ m/s
B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.6 x 10⁵ m/s x 0.7 x 0.7)
B = 18.39 × 10⁻¹⁵ T
The magnetic force experienced by the proton in the negative direction is calculated as follows;
F = qvB
F = 1.602 x 10⁻¹⁹ x 1.6 x 10⁵ x 18.39 × 10⁻¹⁵ T
F = 47.1 x 10⁻²⁹ N
F = 4.71 x 10⁻²⁸ N
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The cylinder in the picture is rotating at 500 RPMs. The friction coefficients between the cylinder and block B are static=0.5 and kinetic=0.3. Assume both blocks are attached together. Determine if the block system will slide down or not.
Answers
Coefficient of static friction = 0.5Coefficient of Kinetic friction = 0.3Angular velocity = 500 RPMsThe Radius of the System
Let R be the radius of cylinder
\(m_a + m_b = 4 + 3 = 7kg\)
The angular velocity is 500 RPMs
\(\omega ^2 = \frac{500 * 2\pi}{60} rad/s\\N = (M_a + M_b)\omega ^2 R\)
The normal force
\(f = \mu N = (M_a + M_b) g\\\mu (M_a + M_b) \omega ^2 R = M_a + M_b\\R = \frac{1}{\mu \omega ^2 R}\\\mu_s = 0.5\\R = \frac{1}{0.5 * (\frac{500 * 2\pi}{60})^2 }\\R = 0.0073m\\R = 7.3mm\)
Since the radius is very little for two block to execute circular motion so system will slide down.
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Cars require multiple energy transformations. Gasoline is put in the tank to burn for the car to go. The car battery provides the energy for other functions of the car as well.
Which of the following type of energy is NOT used in a car?
Chemical Energy
Electrical Energy
Kinetic Energy
Sound Energy
Answers
Answer:
Your answer is kinetic energy, that is not used in cars
Which part of the diagram indicates the amplitude of the wave?
Answers
The left vertical line part of the diagram indicates the amplitude of the wave.
The amplitude of a wave or vibrating body is defined as the maximum displacement or distance generated by a point on the wave or body compared to its position of equilibrium. It is the same as the length of the vibration path divided by half.
The wave's amplitude is shown by the left vertical line in the figure, which depicts the highest displacement or distance that a spot on a wave or moving body can make compared to its equilibrium position. So the left vertical line part of the diagram indicates the amplitude of the wave.
The figure of the question is attached.
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Importance of science
Answers
Answer:
Education and knowledge
Explanation:
Science is important because it teaches the understanding of life and nature. Science teaches how every thing works and it have advantages in life like technology and medicine
how to protect the ozone layer?
Answers
Answer:
\(\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}\)
we have to protect ozone layer because it is like blanket for earth . It protects the earth form uv rays that are coming from the sunwe have to take some preventive. measures like
Use ecofriendly things that Doesnot contain (cfc) . It is the major reason for ozone DeplitionEffects of uv rays
Uv rays are very harmful . If it directly comes in contact with human it cause skin cancer , eyes irritation etc.Hope it helps.
If a student were to measure the ball's speed at each position above, at which position would
the ball be traveling the fastest?
A
B
C
D
Answers
Answer:
The ball would be traveling fastest at point (C).
Point (D) appears to be the same height as point (C) but the ball would probably have lost some speed on rebounding,
why does the acceleration due to gravity have to be measured in an airless tube?
Answers
It is measured in the airless tube because there is no air to offer resistance to the fall of the object.
What is the acceleration due to gravity?The acceleration due to gravity refers to the acceleration that is imparted to a body because of its movement in the earth's gravitational field. Irrespective of mass, all objects move with the same acceleration in the earth gravitational field.
If air is present, air resistance makes it appear as if different masses are accelerated to different amounts. Thus, the acceleration due to gravity is measured in an airless tube the where there is no air to offer resistance to the fall of the object.
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Traveling waves are generated on a string fixed at both ends. The string has a length L, a linear mass density m, and a tension T. Which of the following will cause the wave speed to increase?
I. Using the same string but increasing the tension.
II Using a longer string with the same μ and T.
III. Using a string with the same L and T but a smaller μ.
a. I only
b. II only
c. III only
d. I or II
d. I or III
Answers
Answer: d. I or II
Explanation: A traveling wave has speed that depends on characteristics of a medium. Characteristics like linear density (μ), which is defined as mass per length.
Tension or Force (\(F_{T}\)) is also related to the speed of a moving wave.
The relationship between tension and linear density and speed is ginve by the formula:
\(|v|=\sqrt{\frac{F_{T}}{\mu} }\)
So, for the traveling waves generated on a string fixed at both ends described above, ways to increase wave speed would be:
1) Increase Tension and maintaining mass and length constant;
2) Longer string will decrease linear density, which will increase wave speed, due to their inversely proportional relationship;
Then, ways to increase the wave speed is
I. Using the same string but increasing tension
II. Using a longer string with the same μ and T.
On a distance-time graph, what is shown when the curve is flat going from left to the right?
A. a negative speed
B. no speed
C. a positive speed
D. It does not mean anything.
Please help me !!im on a test
Answers
Lia lives in the mountains of Colorado. Her aunt came to visit and had a difficulty breathing for a few days until she adjusted to the higher altitude. Which explanation best describes the reason for this difficulty
Answers
There is decreased pressure on the air molecules as one moves higher and the air is thinner
What happens at high altitude?We know that the air pressure decreases with height. This implies that the air is thinner as you move up to higher altitude. This is the idea behind the use of the phrase; "Thin air".
Now, owing to the fact that there is decreased pressure on the air molecules as one moves higher and the air is thinner, it is much harder to breath until her aunt adjusts to the higher altitude.
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which statement best define percent error? check all that apply.
Answers
Percent error is the difference between the experimental value and theoretical value and measures the accuracy of the result found. The larger the error, lesser is the accuracy and vice versa.
Solution:
It is a mathematical way of showing accuracy
The higher the percent error, the less accurate the data set,
A car mass 1200 kg is driven around a corner of radius 45m at 15 ms
Calculate the acceleration of the car
Answers
Answer:
Explanation: Given data:
The mass of the car is, m= 1200kg
The value of the radius of the circular path is, r=45m
The value of the constant speed is, s=15ms
1.The centripetal acceleration of the car is given by the formula,
a=v2/r
Substitute the known values,
a=(15)2/45
=5m/s2
The centripetal acceleration in the motion of the car is 5m/s2
2.The force needed to produce this acceleration is calculated by formula,
F=ma
Substitute the known values,
F=1200KG*5m/s2
=6000N
The force needed to produce the centripetal acceleration is 6000N.
What is the magnitude of the resultant vector? Round your answer to the nearest tenth. m
Answers
The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.
In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.
When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.
For example, if the answer is 12.345, we would round it to 12.3.
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Could someone make sure My answers are correct... Thank you
What is the difference between covalent and ionic bonds?
Answer: Covalent bonds share electrons; ionic bonds transfer electrons
What is the charge on the metal ion in iron bromide: FeBr3?
Answer: +3
What would be the proper chemical formula for combining these two ions:
Al+3 and Cl-1
Answer: AlCl3
Name the following compound: NaF. Hint: Is this an ionic or covalent compound?Answer: sodium fluoride
What is the charge on the nonmetal in the ionic compound calcium phosphide?
Answer: -3
Given the Lewis dot structures of oxygen and magnesium, predict the ionic formula. *Mg* *O*
Answer: MgO
Hint: When you have a lewis dot structure, you can move the electrons from the metal to the nonmetal until there are zero or 8 dots around each. If necessary, you add more atoms until all atoms have this octet. Then you add up how many of each element you have and those are the subscripts!
Select all correct statements relating to the octet rule.
Answers:
atoms require 8 valence electrons in order to be stable.
atoms will share or transfer electrons in order to be stable.
When Beryllium and Fluorine join together,
Answer: a Beryllium atom donates two electrons, one to each Fluorine atom.
Hint: Beryllium is in group 2 so it has 2 valence electrons. Since Fluorine can only take one, there must be 2 fluorine atoms that bond with each beryllium atom.
Determine if each property relates to ionic or covalent bonds, both of them, or if the statement is completely false (nether).
Low melting point
give and take electrons
atoms come together to form compounds
salts
molecules
do not conduct electricity
electrolytes
cations and anions
high boiling point
want to reach octet to be stable
only exist as liquid and gases
share or transfer protons
strongly bonded crystalline structure
Contain a metal and a nonmetal
Contain all nonmetals
Answers:
covalent, ionic, both ionic and covalent, ionic, covalent, covalent, ionic, ionic,ionic, both ionic and covalent, neither ionic nor covalent, neither ionic and covalent, ionic, covalent
Check all of the prefixes that are correctly matched with the number they represent.
mono- 1
penta- 5
octa- 8
tri- 3
Match the element or the group to its number of valence electrons.
Group 2
Phosphorous
Sodium and Potassium
the Nobel Gases
Bromine and Chlorine
Carbon
Group 13
Oxygen and Sulfur
answers: 2,5,1,8,7,4,3,6
What is the charge on the metal ion in Silver Oxide, Ag2O?
Answer: +1
Hint: Oxygens subscript is a 1, so that's the charge on silver.
An ionic compound has a generic formula of QR2.
Which elements could the Q and R represent?
Once you choose an answer, check it by plugging those elements into the QR2 formula to see if it looks right.
Answer: Q= Magnesium R= Chlorine
Hint: To write an ionic formula, the charges are crossed down to form subscripts. So, take the subscripts and cross them up to see the charges!
Then consult the periodic table to find out which elements have those charges.
The first element in an ionic formula is always a metal so this will be in group 1, 2, or 13.
The second element in an ionic formula is always a nonmetal and will be found in group 15, 16, or 17.
Name this compound: PCl3
Is it ionic or covalent?
Answer: Phosphorous Trichloride; covalent
What is the formula for dinitrogen pentaoxide?
Answer: N2O5
Determine whether the compound is ionic or covalent.
BaF
AlN
NO
water
calcium iodide
sugar
answers: ionic, ionic,covalent, covalent, ionic, covalent
Answers
Answer:
I believe that number 1 is correct I am not sure about the others
Sorry for not being more helpful
Explanation:
Answer:
All your answers are correct
Explanation:
I took the test and got a 100
Where will the temperature most likely be the highest?
A. in a forest
B. in an open field
C. in the shade of a tree
D. in the shadow of a building
Answers
Answer:
it's b
Explanation:
no shade, direct sunlight
Which of the following are considered to be price discrimination? (Select all that apply.)
Giving seniors a breakfast discount at the local diner.
Providing a bulk discount for school supplies to local school districts.
Charging schoolchildren half-fare for subway or bus transport.
Charging less for phone services in one location to drive out a competitor.
Answers
Charging less for phone services in one location to drive out a competitor is considered to be price discrimination.
What is price discrimination?A selling tactic known as price discrimination involves charging clients various rates for the same good or service depending on what the vendor believes they can persuade the customer to accept.
When a merchant uses pure price discrimination, they charge each consumer the highest price they will agree to.
In more prevalent types of price discrimination, the supplier divides clients into groups based on particular characteristics and assesses a different price to each group.
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WHAT IS THE MASS OF A PURE PLATINUM DISK
Answers
The mass of a pure platinum disc can be gotten by multiplying the density with the volume.
Therefore the mass is 2418.2 grams or 2.4182 kilograms.
What is mass?A body's mass is an inherent quality. Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body.
The kilogram is the primary mass unit in the SI.
The resistance of the body to acceleration in the presence of a net force can be measured as mass.
Due to the lower gravity on the Moon, an object would weigh less than it does on Earth while maintaining the same mass. This is due to the fact that mass, coupled with gravity, determines the strength of weight, which is a force.
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What is the mass of a pure platinum disk with a volume of 113 cm3? The density of platinum is 21.4 g/cm3.
Give your answer in grams and kilograms.
Discuss the consequences of poor health and safety when using non-ionising and ionising radiation technologies and the prevention and safety measures employed.
Answers
Poor health and safety practices when using non-ionizing and ionizing radiation technologies can have significant consequences. Here are some potential consequences and the prevention and safety measures employed to mitigate them.
Consequences of poor health and safety:
Non-Ionizing Radiation:
Thermal Effects: Prolonged exposure to high levels of non-ionizing radiation, such as from radiofrequency waves (RF) or microwaves, can lead to thermal effects, including tissue heating and burns.Non-Thermal Effects: There is ongoing research to understand the potential non-thermal effects of non-ionizing radiation, such as long-term exposure to electromagnetic fields (EMF), but current evidence suggests that it may contribute to various health concerns, including sleep disturbances, headaches, and electromagnetic hypersensitivity.
Ionizing Radiation:
Acute Radiation Syndrome (ARS): High doses of ionizing radiation, such as those experienced during a nuclear accident or radiation therapy accidents, can lead to ARS, which includes symptoms like nausea, vomiting, fatigue, and potentially fatal damage to vital organs.Increased Cancer Risk: Ionizing radiation has been linked to an increased risk of developing cancer, especially with chronic exposure. This risk varies depending on the radiation dose, duration of exposure, and the part of the body exposed.
Genetic and Hereditary Effects: Exposure to ionizing radiation can also result in genetic mutations that can be passed on to future generations, potentially leading to hereditary disorders.
Prevention and safety measures:
Non-Ionizing Radiation:
Time, Distance, and Shielding: Minimize exposure time to non-ionizing radiation sources, maintain a safe distance from the source, and use shielding materials (e.g., lead aprons, and protective barriers) to reduce exposure.Compliance with Guidelines: Follow national and international guidelines and regulations regarding safe exposure limits for different types of non-ionizing radiation sources. For example, adherence to specific absorption rate (SAR) limits for mobile devices.Ionizing Radiation:
Risk Assessment and Minimization: Conduct thorough risk assessments to identify potential hazards, establish safety protocols, and minimize radiation exposure through engineering controls and administrative measures.Personal Protective Equipment (PPE): Use appropriate PPE, such as lead aprons, gloves, and goggles, to protect against direct radiation exposure.Training and Education: Provide comprehensive training and education to workers who handle ionizing radiation sources to ensure they are aware of the risks, safety protocols, and proper handling procedures.Monitoring and Dosimetry: Regularly monitor radiation levels in the workplace and ensure that employees wear dosimeters to measure their radiation exposure.Regulatory Compliance: Adhere to applicable regulations and standards, such as those set by radiation protection agencies and authorities, to ensure compliance with safety measures and limits on radiation exposure.know more about ionizing radiation here:
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Determine the kinetic energy of a 2000 kg roller coaster car that is moving at the speed of 10 ms
Answers
Answer:
\(\boxed {\boxed {\sf 100,000 \ Joules}}\)
Explanation:
Kinetic energy is energy due to motion. The formula is half the product of mass and velocity squared.
\(E_k= \frac{1}{2} mv^2\)
The mass of the roller coaster car is 2000 kilograms and the car is moving 10 meters per second.
m= 2000 kg s= 10 m/sSubstitute these values into the formula.
\(E_k= \frac{1}{2} (2000 \ kg ) \times (10 \ m/s)^2\)
Solve the exponent.
(10 m/s)²= 10 m/s * 10 m/s= 100 m²/s²\(E_k= \frac{1}{2} (2000 \ kg ) \times (100 \ m^2/s^2)\)
Multiply the first two numbers together.
\(E_k= 1000 \ kg \times (100 \ m^2/s^2)\)
Multiply again.
\(E_k= 100,000 \ kg*m^2/s^2\)
1 kilogram square meter per square second is equal to 1 Joule. Our answer of 100,000 kg*m²/s² is equal to 100,000 Joules.\(E_k= 100,000 \ J\)
The roller coaster car has 100,000 Joules of kinetic energy.
3 A rocket of mass 1200 kg is travelling at 2000 m/s. It fires its engine for 1 minute. The forward thrust provided by the rocket engines is 10 kN (10 000 N).
(i) Use increase in momentum = F x t to calculate the increase in momentum of the rocket.
(ii) Use your answer to a to calculate the increase in velocity of the rocket and its new velocity after firing the engines.
Answers
The impulse shared by the object equals the difference in momentum of the object. In equation form,
F • t = m • Δ v. In a collision, objects experience an impulse; the impulse causes and is equal to the difference in momentum.
How to calculate thrust provided by the rocket engines is 10 kN (10 000 N).?
a)There is this impulse-momentum change equation.
\(where m$ is the mass of a body, $F$ is a force acting to the body, $t$ is time and $D E L A T A N\}=V_{2}-V_{1}$ is the change of velocity.We consider everything is happen along a straight line, and gravitation does not participate.So, the increase of momentum is $\mathrm{F}^{*} \mathrm{t}=10000 \mathrm{~N} * 60$ seconds $=600000 \mathrm{~N}^{*} \mathrm{~s}=600000\left(\mathrm{~kg}^{*} \mathrm{~m}\right)^{*} \mathrm{~s} / \mathrm{s}^{\wedge} 2=600000 \mathrm{~kg}{ }^{*} \mathrm{~m} / \mathrm{s}$.\)
We consider everything exits happen along a straight line, and gravitation does not participate.
So, the increase of momentum is F×t = 10000 N × 60 seconds = 600000 N*s = 600000 (kg*m)*s/s^2 = 600000 kg*m/s.
\($$\Delta(\mathrm{V})=\frac{\mathrm{F.t}}{\mathrm{m}}=\frac{600000}{1200}=500 \mathrm{~m} / \mathrm{s} .$$\)
New velocity after engine was firing during 60 seconds is 2000 + 500 = 2500 m/s.
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A skateboarder travels on a horizontal surface with an initial velocity of 3.6 m/s toward the south and a constant acceleration of 1.8 m/s^2 toward the east. Let the x direction be eastward and the y direction be northward, and let the skateboarder be at the origin at t=0.
a. What is her x position at t=0.60s?
b. What is her y position at t=0.60s?
c. What is her x velocity component at t=0.60s?
d. What is her y velocity component at t=0.60s?
Answers
Answer:
a) The x-position of the skateboarder is 0.324 meters.
b) The y-position of the skateboarder is -2.16 meters.
c) The x-velocity of the skateboard is 1.08 meters per second.
d) The y-velocity of the skateboard is -3.6 meters per second.
Explanation:
a) The x-position of the skateboarder is determined by the following expression:
\(x(t) = x_{o} + v_{o,x}\cdot t + \frac{1}{2}\cdot a_{x} \cdot t^{2}\) (1)
Where:
\(x_{o}\) - Initial x-position, in meters.
\(v_{o,x}\) - Initial x-velocity, in meters per second.
\(t\) - Time, in seconds.
\(a_{x}\) - x-acceleration, in meters per second.
If we know that \(x_{o} = 0\,m\), \(v_{o,x} = 0\,\frac{m}{s}\), \(t = 0.60\,s\) and \(a_{x} = 1.8\,\frac{m}{s^{2}}\), then the x-position of the skateboarder is:
\(x(t) = 0\,m + \left(0\,\frac{m}{s} \right)\cdot (0.60\,s) + \frac{1}{2}\cdot \left(1.8\,\frac{m}{s^{2}} \right) \cdot (0.60\,s)^{2}\)
\(x(t) = 0.324\,m\)
The x-position of the skateboarder is 0.324 meters.
b) The y-position of the skateboarder is determined by the following expression:
\(y(t) = y_{o} + v_{o,y}\cdot t + \frac{1}{2}\cdot a_{y} \cdot t^{2}\) (2)
Where:
\(y_{o}\) - Initial y-position, in meters.
\(v_{o,y}\) - Initial y-velocity, in meters per second.
\(t\) - Time, in seconds.
\(a_{y}\) - y-acceleration, in meters per second.
If we know that \(y_{o} = 0\,m\), \(v_{o,y} = -3.6\,\frac{m}{s}\), \(t = 0.60\,s\) and \(a_{y} = 0\,\frac{m}{s^{2}}\), then the x-position of the skateboarder is:
\(y(t) = 0\,m + \left(-3.6\,\frac{m}{s} \right)\cdot (0.60\,s) + \frac{1}{2}\cdot \left(0\,\frac{m}{s^{2}}\right)\cdot (0.60\,s)^{2}\)
\(y(t) = -2.16\,m\)
The y-position of the skateboarder is -2.16 meters.
c) The x-velocity of the skateboarder (\(v_{x}\)), in meters per second, is calculated by this kinematic formula:
\(v_{x}(t) = v_{o,x} + a_{x}\cdot t\) (3)
If we know that \(v_{o,x} = 0\,\frac{m}{s}\), \(t = 0.60\,s\) and \(a_{x} = 1.8\,\frac{m}{s^{2}}\), then the x-velocity of the skateboarder is:
\(v_{x}(t) = \left(0\,\frac{m}{s} \right) + \left(1.8\,\frac{m}{s} \right)\cdot (0.60\,s)\)
\(v_{x}(t) = 1.08\,\frac{m}{s}\)
The x-velocity of the skateboard is 1.08 meters per second.
d) As the skateboarder has a constant y-velocity, then we have the following answer:
\(v_{y} = -3.6\,\frac{m}{s}\)
The y-velocity of the skateboard is -3.6 meters per second.
1. At t=0s, a particle moving in the x-y plane with constant acceleration has a velocity ofv; = (3î-2)) m/s, and is at the origin. At t=3s, the particle's velocity is f = (91+7j) m/s. Find (a)the acceleration of the particle (b) Its coordinates at t=3s
Answers
Answer:
the particle is at coordinates (18,15/2)
Explanation:
To find the acceleration of the particle, we can use the formula for velocity: v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. Since we know the initial and final velocities, as well as the time interval, we can solve for the acceleration:
a = (v - v0)/t = [(9i + 7j) - (3i - 2j)]/3 = (6i + 9j)/3 = 2i + 3j
So the acceleration of the particle is a = 2i + 3j m/s².
To find the coordinates of the particle at t=3s, we can use the formula for position: r = r0 + v0t + 1/2at², where r0 is the initial position. Since the particle starts at the origin, r0 = 0. Plugging in the values we have:
r = 0 + (3i - 2j)(3) + 1/2(2i + 3j)(3)² = 9i - 6j + 9i + 27/2 j = 18i + 15/2 j
We can use the kinematic equations of motion to solve this problem.
Let the acceleration of the particle be a = axî + ayj.
(a) Using the equation of motion v = u + at, where u is the initial velocity:
f = v = u + at
Substituting the given values, we get:
(91+7j) = (3î-2j) + a(3î + 3j)
Equating the real and imaginary parts, we get:
91 = 3a + 3a (coefficients of î are equated)
7 = -2a + 3a (coefficients of j are equated)
Solving these equations simultaneously, we get:
a = î(23/6) + j(1/2)
So the acceleration of the particle is a = (23/6)î + (1/2)j.
(b) Using the equation of motion s = ut + (1/2)at^2, where s is the displacement and u is the initial velocity:
At t = 3s, the displacement of the particle is:
s = ut + (1/2)at^2
Substituting the given values, we get:
s = (3î-2j)(3) + (1/2)(23/6)î(3)^2 + (1/2)(1/2)j(3)^2
Simplifying, we get:
s = 9î + (17/2)j
So the coordinates of the particle at t=3s are (9, 17/2).
Hair Growth
WARNING: This homework problem is out of left field. It has nothing to do with anything covered in the class. It is just a fun problem to practice unit conversions. It really annoys some people, but it has become a tradition so I'm leaving it in. Buckle up. The subsequent problems will all be on topic.
1a) Suppose your hair grows at the rate of 1/35 in per day. Find the rate at which your hair grows in nm/s.
1b) If an atomic layer is approximately 0.1nm thick, how fast are the protein synthesis machines working in atomic layer/s?
Answers
(a) The rate at which your hair grows is approximately 20.3 nm/s.
(b) The protein synthesis machines are working at a rate of approximately 203.2 atomic layers/s.
What is the rate at which your hair grows in nm/s?
First, we need to convert the rate of hair growth from inches per day to nanometers per second. There are 2.54 centimeters in an inch, and 10 million nanometers in a centimeter.
So, we can calculate:
1/35 inch per day = (1/35) x 2.54 cm/inch x 10^7 nm/cm x 1 day/86400 s
= 20.319 nm/s (rounded to three significant figures)
If an atomic layer is approximately 0.1nm thick, then the number of atomic layers formed in one second will be the ratio of the growth rate of the protein synthesis machines to the thickness of an atomic layer.
We can use the growth rate we calculated in part (a) and divide it by 0.1 nm to find the number of atomic layers formed per second:
20.319 nm/s / 0.1 nm/layer = 203.19 layers/s
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A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 92.1 kg. The mass of the rock is 0.279 kg. Initially, the wagon is rolling forward at a speed of 0.482 m/s. Then the person throws the rock with a speed of 16.9 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown (a) directly forward in one case and (b) directly backward in another.
Answers
Depending on the direction the rock is hurled, the speed of the wagon moves either (a) straight forward or (b) straight backward. v' = 0.304 m/s
Why does friction exist?A force known as friction exists between two surfaces those are sliding or attempting to glide over one another. Friction, for instance, makes it challenging to push a book across the floor. The direction in which an object moves or attempts to move is always the direction in which friction operates.
What generates conflict?Friction is believed to be created by the interplay between the microscopic bumps on surfaces when they rub with one another, however scientists are still unsure of its exact mechanism.
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