The steps assume that the mirrors and boxes are arranged in a simple, two-dimensional configuration.
The steps to be followedThe steps to be followed are;
Determine the angle of incidence of the beam of light on mirror 1. This can be done by drawing a line perpendicular to the mirror at the point where the beam of light hits the mirror and measuring the angle between this line and the incident beam of light.Use the law of reflection to determine the angle of reflection of the beam of light from mirror 1. This angle will be equal to the angle of incidence.Use the properties of parallel lines and angles to determine the angle of incidence of the beam of light on mirror 2. This can be done by noting that mirror 2 is parallel to mirror 1 and that the angle of incidence of the beam of light on mirror 2 will be equal to the angle of reflection of the beam of light from mirror 1.Use the law of reflection again to determine the angle of reflection of the beam of light from mirror 2. This angle will be equal to the angle of incidence of the beam of light on the likely box.Use the properties of parallel lines and angles again to determine the angle of incidence of the beam of light on each of the boxes in the diagram. The box that has an angle of incidence equal to the angle of reflection of the beam of light from mirror 2 is the likely box where the beam of light will fall.Learn more on reflection of mirror here https://brainly.in/question/54972410
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2. Explain how potential energy and kinetic
energy are the same. How are they
different? TEKS 6.8(A) supporting
Potential energy and kinetic energy are both forms of energy, but they are different in how they are stored and released. Potential energy is energy that is stored within an object, while kinetic energy is energy that is associated with the motion of an object.
The main similarity between potential energy and kinetic energy is that they are both forms of energy that can be converted from one form to another. For example, when an object is at rest, it has potential energy, and when it is in motion, it has kinetic energy. This means that potential energy can be converted into kinetic energy, and vice versa.
The main difference between potential energy and kinetic energy is that potential energy is stored energy, while kinetic energy is energy in motion. Potential energy is the energy an object has due to its position or state, such as the energy stored in a stretched spring or a charged battery. Kinetic energy, on the other hand, is the energy an object has due to its motion, such as the energy of a moving car or a rolling ball.
In summary, potential energy and kinetic energy are both forms of energy, but they are different in how they are stored and released. Potential energy is stored energy, while kinetic energy is energy in motion.
Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey
12. The time taken for the journey is 400 s
13. The time taken for the train is 200 s
14. The time taken is 7 h
15. The time taken for the beetle is 12 s
16. The time taken for the journey is 0.0068 h
How do i determine the time taken?The time taken in each case as given by the question can be obtain as follow:
12. The time taken for the journey
Distance traveled = 26000 mSpeed = 65 m/s Time taken =?Time taken = Distance / Speed
Time taken = 26000 / 65
Time taken = 400 s
13. The time taken for the train
Distance traveled = 3200 mSpeed = 16 m/s Time taken =?Time taken = Distance / Speed
Time taken = 3200 / 16
Time taken = 200 s
14. The time taken to travel
Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?Time taken = Distance / Speed
Time taken = 672 / 96
Time taken = 7 h
15. The time taken for the beetle
Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?Time taken = Distance / Speed
Time taken = 1.08 / 0.09
Time taken = 12 s
16. The time taken for the journey
Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?Time taken = Distance / Speed
Time taken = 35 / 5147
Time taken = 0.0068 h
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find the number of solutions for the problem9m – 3 – 5m = 3 + 4m – 6
We have the next expression
9m – 3 – 5m = 3 + 4m – 6
we sum like terms
4m-3=4m-3
As we can see we have the same expression on both sides, which means that we will have infinity solutions for this equation
ANSWER
infinite solutions
Why is DNA a useful evolutionary clock?
Pls help. Ill give 10 pts each for the other 3 questions i asked. look at my account and the other three questions will increase in pts by 5.
Answer:
a = 0.273 m/s²
Explanation:
I would assume that the rider starts at 0m/s.
a = average acceleration
v = final velocity = 3 m/s
v0 = initial velocity = 0 m/s
t = time = 11 s
a = (v-v0)/t
a = (3m/s - 0m/s) / 11s
a = 0.273 m/s²
I am not sure how many decimals I should round it to, so I just gave three. If your teacher has instructions on that, do so accordingly.
What is the term for the cumulative body of observations on which scientific explanations are based?
peer review
pseudoscience
logical reasoning
empirical evidence
The diagram shows the electric field lines due to two charged parallel metal plates. We conclude
that:
a.
an electron at X could have its weight balanced by the electrical force
b.
a proton at X experiences a greater force than if it were placed at Z
c.
the upper plate is positive and the lower plate is negative
d.
a proton at X experiences less force than if it were placed at Z
e.
a proton at X would experience the same force if it were placed at Y
Based on the given diagram, we can only reasonably conclude statement c, that the upper plate is positive and the lower plate is negative
What is Electric Field?
Electric field is a concept used in physics to describe the influence that an electric charge exerts on other charges in its vicinity. It is defined as the force experienced by a positive test charge placed in the vicinity of an electric charge, divided by the magnitude of the test charge
The upper plate is positive and the lower plate is negative: This statement is a common convention for charged parallel metal plates in a capacitor. The positive plate is usually considered as the plate with electric field lines originating from it (in this case, the upper plate), and the negative plate is usually considered as the plate with electric field lines terminating on it (in this case, the lower plate). So, this statement is likely to be true based on convention.
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S
In a game of pool, the cue ball rolls toward the stationary eight ball with a velocity of 1.35,
and they collide. The mass of the cue ball is 170 grams, and the mass of the eight ball is
156 grams. The velocity of the cue ball immediately after the collision is 0.060
What is the velocity of the eight ball immediately after the collision?
Your answer should have three significant figures.
m
You might need: Calculator
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The velocity of the eight ball immediately after the collision is 1.41 m/s.
What is the final velocity of the eight ball after the collision?
The final velocity of the eight ball after the collision is calculated by applying the principle of conservation of linear momentum;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where;
m₁ is the mass of the cue ballu₁ is the initial velocity of the cue ballm₂ is the mass of the eight ballu₂ is the initial velocity of the eight ballv₁ is the final velocity of the cue ballv₂ is the final velocity of the eight ball(0.17)(1.35) + (0.156)(0) = (0.17)(0.06) + (0.156v₂)
0.2295 = 0.0102 + 0.156v₂
0.156v₂ = 0.2193
v₂ = 1.41 m/s
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what is electrial resistance
Ok force that control the flow of current
Answer:
A flow that counteracts the flow of the electrical current
Explanation:
That's what electrical resistance is.
A sample contains 36 g of a radioactive isotope. How much radioactive isotope remains in the sample after 3 half-lives?
A. 12 g
B. 18 g
C. 4.5 g
D. 9 g
Answer:
Option "C": "4.5 g"
Explanation:
N0 = 36 g, Let half-life is T.
t = 3 T, n is number of half lives = t / T = 3
By using the decay law of radioactivity
N / N0 = (1 / 2)^n
where
"N0" be the "initial amount"
"N" be the "amount left"
"n" be the "number of half-lives"
N / 36 = (1/2)^3
N / 36 = 1 / 8
N = 36 / 8 = 4.5 g
Hey guys can you help me with this problem it's giving me a headache. "If 2500 kg roller coaster car begins its descent from 500m above above the first hill. What is its kinetic energy at the bottom of the hill."
The kinetic energy of the roller coaster at the bottom of the hill is 12250000 J
To answer this question, we must understand that the energy of a system is always conserved as explained by the law of conservation of energy.
The kinetic energy of the roller coaster will be equivalent to the potential energy of the roller coaster.
The kinetic energy of the roller coaster can be obtained as follow:
Mass (m) = 2500 KgHeight (h) = 500 mAcceleration due to gravity (g) = 9.8 m/s²Kinetic energy (KE) =?Kinetic energy = Potential energy
KE = mgh
KE = 2500 × 9.8 × 500
KE = 12250000 J
Therefore, the kinetic energy of the roller coaster is 12250000 J
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A 60 kilogram person jumps off a platform, landing while moving at 2.0 meters per second. Determine the force exerted on the person's feet when he lands if he stops in 0.25 seconds.
Answer:
the anwser is 480 N for the answer hope this helped
The acceleration of the person of 60 kg jumping with a velocity of 2 m/s in 0.25 seconds is 8 m/s². Then the force exerted on the feet is 480 N.
What is force ?Force is an external agent acting on a body, to change its motion. Force is a vector quantity. Hence, it is characterized by a direction and magnitude. There are various kinds of forces such as gravitational force, magnetic force, frictional force etc.
According to Newton's second law of motion, force is the product of mass and acceleration of the body. The acceleration of a moving object is the rate of change in velocity.
given v = 2 m/s
time t = 0.25 s
then a = v/t = 2/0.25 = 8 m/s²
then, force F = m a
F = 60 kg × 8 m/s² = 480 N.
Therefore, the force exerted on his feet is 480 N.
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If a person climbed Mt. Everest has a mass of 105 kg and a weight of 625 N what would be the acceleration due to gravity?
The acceleration due to gravity would be 5.95 m/s²
A force is known to be a push or pull and it is the change in momentum per time. It can be expressed by using the relation.
Force = mass × acceleration.From the parameters given:
Mass = 105 kgForce = 625 NBy replacing the given values into the above equation, we can determine the acceleration.
∴
625 N = 105 kg × acceleration.
\(\mathbf{acceleration = \dfrac{625 \ N}{105 \ kg}}\)
acceleration = 5.95 N/kg
Since 1 N/kg = 1 m/²acceleration = 5.95 m/s²
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Which quantity describes the gravitational force between two objects?(1 point)
Responses
A the sum of the masses of the two objects divided by the distance between them
B the product of the masses of the two objects divided by the distance between them
C the product of the masses of the two objects divided by the square of the distance between them
D the sum of the masses of the two objects divided by the square of the distance between them
The quantity that describes the gravitational force between two objects is as follows: the product of the masses of the two objects divided by the square of the distance between them (option C).
What is gravitational force?Gravitational force is a very long-range, but relatively weak fundamental force of attraction that acts between all particles that have mass; believed to be mediated by gravitons.
It is called the gravitational force attraction because it always tries to pull masses together, it never pushes them apart.
The gravitational force of an object can be calculated using the following formula:
F = Gm1m2/r²
Where;
F = gravitational forceG = gravitational constantm1 and m2 = masses of objectr = distance between objectsTherefore, the product of the masses divided by the square of the distance is how gravitational force is calculated.
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A boy drops a stone of mass 0.5 kg into a well. The stone takos 2 seconds to reach the bottom of the well. (p=10 N/kg). (a) Calculate the depth of the well.
A boy drops a stone of mass 0.5 kg into a well. The stone takes 2 seconds to reach the bottom of the well. then depth of the well is 19.2 m.
Momentum is defined as mass times velocity. it tells about the moment of the body. it is denoted by p and expressed in kg.m/s. mathematically it is written as p = mv. A body having zero velocity or zero mass has zero momentum. its dimensions is [M¹ L¹ T⁻¹]. Momentum is conserved throughout the motion. According to conservation law of momentum initial momentum is equal to final momentum.
A boy drops a stone of mass 0.5 kg into a well
according to kinematics,
s = ut + 1/2at²
initial velocity of the stone is zero
s = 1/2×9.8×2²
s = 1/2×9.8×2²
s = 19.2 m
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Six identical cells with an EDS of 3 V connected in a battery. Resistors R₁ and R₂=16Ω are connected to the battery, the total resistance of the external circuit is R=6Ω and the current flowing in it is 1 A. Determine the resistance of the first resistor and the EDS and internal resistance of the battery.
- The resistance of the first resistor (R₁) is 12 Ω.
- The electromotive force (EMF) of the battery is 18 V.
- The internal resistance of the battery is 12 Ω.
To solve the given problem, we can apply Kirchhoff's laws and Ohm's law to determine the resistance of the first resistor (R₁) and the electromotive force (EMF) and internal resistance of the battery.
Let's start by calculating the resistance of the first resistor (R₁):
1. Apply Ohm's law to find the voltage drop across the external circuit:
V = I * R
V = 1 A * 6 Ω
V = 6 V
2. The voltage drop across the external circuit is equal to the EMF minus the voltage drop across the internal resistance of the battery:
V = E - Ir
6 V = E - (1 A * r) (where r is the internal resistance of the battery)
3. We also know that the EMF of the battery is the sum of the voltage drops across each cell in the battery:
E = 6 cells * 3 V/cell
E = 18 V
4. Substitute the value of E in the equation from step 2:
6 V = 18 V - r
r = 12 Ω
Therefore, the resistance of the first resistor (R₁) is 12 Ω.
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A star that is one of the coolest,
about 3,200°C, is going to be which
of the following colors?
Resourcos
A. greenish
Help
B. bluish
C. yellowish
D. reddish
PLEASE ANSWERRRRR
a) A microwave oven that draws 0.8 kWh is used for one hour. At a cost of 7.5 cents per kWh, what is the cost of the microwave’s electrical energy consumption?
b) What is the cost for the microwave if it is used one day for 20 min?
(c) What is the cost of using the microwave for 20 min a day for a month of 30 days?
a) The cost of using the microwave oven for one hour is 6 cents.
b) The cost of using the microwave oven for 20 minutes in a day is 2 cents.
c) The cost of using the microwave oven for 20 minutes a day for a month of 30 days is 59 cents.
a) The microwave oven draws 0.8 kWh of electricity for one hour. The cost of electricity per kWh is 7.5 cents. Therefore, the cost of using the microwave oven for one hour can be calculated as follows:
Cost = 0.8 kWh x $0.075/kWh = $0.06
b) If the microwave oven is used for 20 minutes in a day, the energy consumed can be calculated as follows:
Energy consumed = Power x Time
Power = Energy consumed / Time
We know that the microwave oven draws 0.8 kWh of electricity for one hour. Therefore, the power can be calculated as:
Power = 0.8 kWh / 1 hour = 0.8 kW
The time for which the microwave is used is 20 minutes, or 0.33 hours. Therefore, the energy consumed can be calculated as:
Energy consumed = Power x Time = 0.8 kW x 0.33 hours = 0.264 kWh
The cost of using 0.264 kWh of electricity can be calculated as:
Cost = 0.264 kWh x $0.075/kWh = $0.02
c) If the microwave oven is used for 20 minutes a day for a month of 30 days, the energy consumed can be calculated as:
Energy consumed = Power x Time x Number of days
Power = Energy consumed / Time
Using the same values of power and time as in part b, the energy consumed for 30 days can be calculated as:
Energy consumed = 0.8 kW x 0.33 hours x 30 days = 7.92 kWh
The cost of using 7.92 kWh of electricity can be calculated as:
Cost = 7.92 kWh x $0.075/kWh = $0.59
In summary, the cost of using a microwave oven for electrical energy consumption depends on the power rating of the oven and the cost of electricity per kWh. By calculating the energy consumed and multiplying it by the cost per kWh, one can determine the cost of using the microwave for a particular period of time.
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PLEASE HELP!!
To conclude, how would you explain
electromagnetic induction to a 5 year old?
words to include: magnets, electricity, and
change.
Answer:
fgdyauqushxhxxgxggxgxgxgsgsysysy
sysydyydydysysysysyxhxyt56fys7w727ueudu
1. A steel ball with a mass of 2.0 kg rolls with a speed of 2.5 m/s.
What is its momentum?
Answer:
5
Explanation:
In a DC generator, the generated emf is directly proportional to the
In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.
This relationship is described by the equation for the generated emf in a DC generator:
Emf = Φ * N * A * Z / 60
Where:
Emf is the generated electromotive force (in volts),
Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),
N is the number of turns in the armature winding,
A is the effective area of the armature coil (in square meters),
Z is the total number of armature conductors, and
60 is a constant representing the conversion from seconds to minutes.
From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.
The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.
The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.
Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.
By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.
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If the battery is 4.0V the voltmeter reading across R is 2.0V and the resistance per unit length of wire AX is 2 ohms per metre calculate the current in the circuit when AP is 40.0cm(neglect the internal resistance of the battery)
The current in the circuit is 2.5 A.
Voltage across the wire AX, V = 4 - 2 = 2V
Resistance per unit length of wire AX, R/l = 2 Ω/m
Length of the wire, l = 0.4 m
Resistance of the wire,
R = R/l x R
R = 2 x 0.4 = 0.8 Ω
According to Ohm's law, the current in the wire AX,
I = V/R
I = 2/0.8
I = 2.5 A
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c = speed of light = 3.00 × 108 m/s
A gamma ray has a very high frequency of about 1019 s−1. What is the wavelength of the gamma ray?
A.
3.00 × 10−11 m
B.
3.00 × 1027 m
C.
3.33 × 1010 m
D.
3.33 × 10−12 m
URGENT!!!!!!!!!!
Answer:
The correct answer is option A: 3.00 × 10^(-11) m.
Explanation:
To find the wavelength of a gamma ray with a frequency of about 10^19 s^(-1), we can use the equation:
wavelength = speed of light / frequency
Given:
Speed of light (c) = 3.00 × 10^8 m/s
Frequency (f) = 10^19 s^(-1)
Substituting the values into the equation:
wavelength = (3.00 × 10^8 m/s) / (10^19 s^(-1))
To simplify the expression, we can rewrite the denominator as (1 / 10^(-19)) s:
wavelength = (3.00 × 10^8 m/s) / (1 / 10^(-19)) s
To divide by a fraction, we multiply by its reciprocal:
wavelength = (3.00 × 10^8 m/s) × (10^(-19) s)
Applying the properties of exponents, we can add the exponents when multiplying with the same base:
wavelength = 3.00 × 10^(-11) m
Therefore, the wavelength of the gamma ray is approximately 3.00 × 10^(-11) m.
a place-kicker must kick a football from a point 36.0 m (about 40 yards) from the goal. half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. when kicked, the ball leaves the ground with a speed of 23.9 m/s at an angle of 51.5 degrees to the horizontal. (a) by how much does the ball clear or fall short of clearing the crossbar?
(b) does the ball approach the crossbar while still rising or while falling?
Explanation:
Let's calculate the components of the football's velocity:
\(v_{0x} = (23.9\:\text{m/s})\cos{51.5°} = 14.9\:\text{m/s}\)
\(v_{0y} = (23.9\:\text{m/s})\sin{51.5°} = 18.7\:\text{m/s}\)
a) The time it takes for the football to travel 36.0 m horizontally is
\(t = \dfrac{x}{v_{0x}} = \dfrac{36.0\:\text{m}}{14.9\:\text{m/s}} = 2.4\:\text{s}\)
During this time, the y-displacement of the football is
\(y = v_{0x}t - \frac{1}{2}gt^2\)
\(\:\:\:\:= (18.7\:\text{m/s})(2.4\:\text{s}) - \frac{1}{2}(9.8\:\text{m/s}^2)(2.4\:\text{s})^2\)
\(\:\:\:\:= 16.7\:\text{m}\)
This means that the football cleared the crossbar by 16.7 m - 3.05 m = 13.7 m
b) To determine whether the football was rising or falling while clearing the crossbar, let's look at the y-component of its velocity after 2.4 s:
\(v_y = v_{0y} - gt = 18.7\:\text{m/s} - (9.8\:\text{m/s}^2)(2.4\:\text{s})\)
\(\:\:\:\:\:\:= -4.82\:\text{s}\)
Since its sign is negative, this means that the football was already on its way down.
Which of the following Laws deal with speeding up and increasing velocity?
inertia, reaction, acceleration.
Newtons first law of motion
8. Consider a capacitor that is made of two large conducting plates that are rectangular in shape (1 cm by 6 cm), aligned parallel to each other, and separated by an air-filled gap of 0.001 cm. This capacitor is included in a circuit where a battery provides 15,000 V of potential difference. When the capacitor is fully charged in this circuit, what is the c
Answer: \(7.96\ \mu C\)
Explanation:
Given
The dimension of the plate is \(1\ cm\times 6\ cm\)
The gap between the plate is \(0.001\ cm\)
Voltage applied \(V=15,000\ V\)
The capacitance of the capacitor is
\(C=\dfrac{\epsilon_o A}{d}\\\\C=\dfrac{8.85\times 10^{-12}\times 1\times 6\times 10^{-4}}{10^{-5}}\\\\C=53.1\times 10^{-11}\ F\)
Charge acquired by the capacitor
\(\Rightarrow Q=CV\\\Rightarrow Q=53.1\times 10^{-11}\times 15,000\\\Rightarrow Q=796.5\times 10^{-8}\\\Rightarrow Q=7.96\times 10^{-6}\ C\)
Sanjeev noticed his plants were wilting and turned on the sprinklers in his garden. An hour later, he notices that the plant's leaves aren’t wilted any longer. Why did this happen?
A) The xylem stored the water in the stem of the plant, making it more rigid
B) The water flowed out of the vacuole creating turgor pressure in the plant’s cells
C) The plant’s stored energy was activated by the water
D) The water entered the vacuole creating turgor pressure in the plant’s cells
help please ASAP
Answer:
B
Explanation:
Answer:
D
Explanation:
which of the following gives the correct components for the current velocity and the pure swimming velocity (i.s., the velocity that you would have in still water) using this coordinate system?
The velocities will be 2.25 m/s (downstream) and -0.25 m/s (upstream), taking right direction as positive and left direction as negative, and considering the river current from left to right.
What is velocity?Velocity is that speed at which something moves in particular direction.
Let us assume that river current is from left to right, so that the right direction positive direction and left direction is negative direction.
Given, speed of swimmer in calm water, u = 1.25 m/s.
And speed of river current, v = 1.0 m/s
(i) swimming downstream: means swimming along the river current, from left to right.
the final speed in downstream is:
v' = u + v
= (1.25 + 1.0)m/s
v' = 2.25 m/s is the downstream swimming speed
(ii) swimming upstream: means swimming against the river current, from right to left.
the final speed in upstream will be:
So, v" = -u + v = (-1.25 + 1.0)
v" = -0.25 m/s is upstream swimming velocity
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Note: The question given on portal is incomplete. Here is the complete question.
Question: Suppose that you are swimming in a river while a friend watches from the shore. In calm water, you swim at a speed of 1.25 m/s . The river has a current that runs at a speed of 1.00 m/s . Which of the following gives the correct components for the current velocity and the pure swimming velocity (i.e., the velocity that you would have in still water) using this coordinate system?
What is the horizontal layer of soil called
The horizontal layer of soil called are called soil horizons.
What is the horizontal layer of soil called?Soil is made up of clear horizontal layers; these layers are called horizons. They range from rich, organic upper layers (humus and topsoil) to basic rocky layers ( subsoil, regolith, and bedrock). Soils are named and confidentially based on their horizons.
The soil profile has four distinct layers a soil horizon is a horizontal layer of soil with physical or chemical attributes that separate it from layers above and below. More simply, each horizon. Soil is made up of clear horizontal layers. These layers are called horizons.
So we can conclude that A soil horizon is a layer parallel to the soil aspect whose physical, chemical, and biological quality differ from the layers.
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At the moment when a shot putter releases a 5.00kg shot, the shot is 3.00m above the ground and traveling at 15.0m/s. It reaches a maximum height of 14.5m above the ground and then falls to the ground. If air resistance is negligible, what was the potential energy of the shot as it left the hand relative to the ground?
The potential energy of the shot as it left the hand relative to the ground would be -524 J.
Potential energy calculationAt the moment the shot putter releases the shot, the total energy of the system is:
E = KE + PE
where KE is the kinetic energy of the shot and PE is its potential energy relative to the ground. We can assume that the kinetic energy is entirely due to the motion of the shot in the horizontal direction, so we can write:
KE = (1/2)mv^2
where m is the mass of the shot, and v is its horizontal velocity. Substituting the known values, we get:
KE = (1/2)(5.00 kg)(15.0 m/s)^2 = 1125 J
At the maximum height of 14.5 m, the shot has zero kinetic energy, so all its energy is potential energy:
PE = mgh
where g is the acceleration due to gravity and h is the height above the ground. Substituting the known values, we get:
PE = (5.00 kg)(9.81 m/s^2)(14.5 m - 3.00 m) = 601 J
Therefore, the potential energy of the shot as it left the hand relative to the ground was:
PE = E - KE = 601 J - 1125 J = -524 J
More on potential energy can be found here: https://brainly.com/question/24284560
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