The acceleration due to gravity on the spherical planet is 11.2 m/s^2.
We can use the following equation to calculate the acceleration due to gravity on a spherical planet:
g = \frac{4\pi G}{3} \frac{M}{R^2}
where:
g is the acceleration due to gravity
G is the universal gravitational constant (6.674 × 10^-11 N m^2/kg^2)
M is the mass of the planet
R is the radius of the planet
We know that the rock fell 1.90 m in 0.460 s, so we can use the following equation to calculate the initial velocity of the rock:
v_0 = \sqrt{2gh}
where:
v_0 is the initial velocity of the rock
g is the acceleration due to gravity
h is the distance the rock fell
Substituting known values, we get:
v_0 = \sqrt{2 \times 9.81 m/s^2 \times 1.90 m} = 7.61 m/s
Now we can use the following equation to calculate the mass of the planet:
M = \frac{4\pi R^3}{3} \rho
where:
M is the mass of the planet
R is the radius of the planet
ρ is the density of the planet
We know that the density of the planet is approximately the same as the density of Earth, which is 5515 kg/m^3. Substituting known values, we get:
M = \frac{4\pi (8.10 \times 10^7 m)^3}{3} \times 5515 kg/m^3 = 5.97 \times 10^{24} kg
Now we can substitute this value for M into the equation for g to get:
g = \frac{4\pi G}{3} \frac{5.97 \times 10^{24} kg}{(8.10 \times 10^7 m)^2} = 11.2 m/s^2
The acceleration due to gravity on the spherical planet is 11.2 m/s^2. This is slightly less than the acceleration due to gravity on Earth, which is 9.81 m/s^2. This is because the planet is less massive than Earth.
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The image shows a type of fault.
What stress causes this type of fault to form?
A. Compression
B. Gravity
C. Tension
D. Shearing
Answer:
D. Shearing
Explanation:
D. Shearing
The Answer is: Shearing
a star is 10 billion years old. what final form may it take when it dies?
The final form that a star takes when it dies depends on its mass. For a star with a mass similar to that of the Sun, it will eventually exhaust the nuclear fuel in its core and evolve into a red giant star, expanding to hundreds of times its original size. After the red giant phase, the outer layers of the star will be expelled into space in a process called a planetary nebula, leaving behind a hot, dense core called a white dwarf.
For more massive stars, the final stages of their evolution can include supernova explosions, leaving behind a neutron star or a black hole. The exact details of a star's evolution and final form depend on its mass and other properties, such as its metallicity and rotation rate.
In summary, a star that is 10 billion years old may eventually become a red giant and then a white dwarf, but the exact fate of the star depends on its mass and other properties.
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what is the change in internal energy (in j) of a system that releases 839 j of thermal energy to its surroundings and has 52 cal of work done on it?
The change in internal energy of the system is 621.4 J.
Internal energy of the system, we need to use the first law of thermodynamics, which states that the net work done on a system is equal to the heat added to the system minus the heat removed from the system.
First, we need to calculate the heat added to the system and the heat removed from the system. The change in internal energy is given by the following equation:
ΔU = Q + W
The heat added to the system is given by:
Q = m * ΔT
Since the system releases thermal energy to its surroundings, the change in temperature is equal to the temperature difference between the system and its surroundings:
ΔT =\(T_s - T_{su}\)
The work done on the system is given by:
W = P * ΔV
We know that the system has 52 cal of work done on it, so we can use the pressure and volume of the system to calculate the work done:
\(P_s = P_1 + P_2\)
We also know that the volume of the gas at the start and end of the process is 1.0 L and 1.2 L, respectively.
The change in internal energy of the system is given by:
ΔU = Q - W
ΔU = 839 J - 52 cal
(since 1 cal = 4.184 J)
So, 52 cal = 52 * 4.184
= 217.568 J
ΔU = 839 J - 217.568 J
ΔU= 621.432 J or
ΔU= 621.4 J
Therefore, the change in internal energy of the system is 621.4 J.
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An arrow is fired downward at an angle of 45 degrees from the top of a 200 m cliff with a velocity of 60.0 m/s.
A.how long will it take the arrow to hit the ground?
B.how far from the base
Answer:
A) 3.39 seconds
Explanation:
A) How long will it take the arrow to hit the ground?We can find the time it takes the arrow to hit the ground by using a constant acceleration equation.
Let's make the positive direction upwards and the negative direction downwards. Let's list out the relevant variables:
v₀ = -60 m/sΔy = -200 ma = -9.8 m/s² t = ?Find a constant acceleration equation that contains these four variables.
Δy = v₀t + 1/2at²Substitute known values into the formula and solve for t.
-200 = (-60 · cos(45))t + 1/2(-9.8)t² -200 = (-30√2)t - 4.9t² 0 = -4.9t² - (30√2)t + 200Use the quadratic formula to continue solving for t.
\(\displaystyle \frac{-b \pm \sqrt{b^2-4ac} }{2a}\)\(\displaystyle \frac{-(-30\sqrt{2})\pm \sqrt{(-30\sqrt{2})^2 -4(-4.9)(200)} }{2(-4.9)}\) \(\displaystyle \frac{30\sqrt{2} \pm \sqrt{1800+3920} }{-9.8}\)\(\displaystyle \frac{30\sqrt{2} \pm \sqrt{5720} }{-9.8}\)From this, when we add the discriminant we get -12.04664168. When we subtract the discriminant we get 3.38819129.
Since time cannot be negative, the time it takes for the arrow to hit the ground must be 3.39 seconds.
Answer:V^2=U^2+2gSIN45S
60^2=2asin45x200
3600=400sin45(a)
3600=282•84a
a=3600/282•84
a=12m/s^2
S=ut+0•5gt^2
200=0•5(12)t^2
200=6t^2
t^2=200/6
t^2=33.33
t=5.77s
Explanation:
A pendulum makes 50 complete swings in 2 min 40 s.
What is the time period for 1 complete swing?
Answer:
50 swings = 2 mins 40 secs
=> 50 swings = 160 secs
=> 1 swing = 160 / 50 secs
=> 1 swing -= 3.2 secs
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Thank You!!
The time period to complete 1 swing is 3.2 seconds
The calculation can be done as follows;
50 complete swings are completed in 2 minutes 40 seconds
2 minutes 40 seconds to seconds is
= 2mins to seconds is 120 seconds
= 120 seconds + 40 seconds
= 160 seconds
50 complete swings= 160 seconds
1 complete swing= 160/50
1 complete swing= 3.2
Hence the time period for 1 complete swing is 3.2 seconds
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True or False
1)All forces cause a change in an object’s speed and direction.
Answer:
True
Explanation:
Answer and Explanation:
True I believe bc if you put a certain amount of force on an object it'll move and depending on where you place the force on the object it'll move in that direction. How much force and how much weight the object has will determine the speed...
A 0.250 kg block resting on a frictionless horizontal surface is attached to a spring having force constant 83.8 N/m as in figure P13.16. A horizontal force F causes the spring to stretch a distance of 5.46 cm from its equilibrium position.
(a) Find the value of F.
(b) What is the total energy stored in the system when the spring is stretched?
(c) Find the magnitude of the acceleration of the block immediately after the applied force is removed.
(d) Find the speed of the block when it first reaches the equilibrium position.
(e) If the surface is not frictionless but the block still reaches the equilibrium position, how would your answer to part (d) change? What other information would you need to know to answer?
Answer:
Explanation:
a)
By Hooke's law
F=kx
⇒kd
=83.8×0.0546
=4.575N
By Hooke's law, F=kx ⇒kd =83.8×0.0546 =4.575N.
What is Hooke's law?The first traditional example of an explanation of elasticity is Hooke's law. Elasticity is the quality of a substance or item that allows it to return to its original shape after distortion.
It is possible to refer to a "restoring force" as the capacity to restore normal shape after distortion. This restoring force, when viewed in the context of Hooke's Law, is often proportional to the degree of "stretch" encountered.
These experiments can range from blowing up a balloon and pulling on a rubber band to calculating the amount of wind pressure required to bend and wobble a tall building.
Therefore, By Hooke's law, F=kx ⇒kd =83.8×0.0546 =4.575N.
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Meteorology Calculate the saturation mixing ratio
(ws) from the following information and/or
graph below.
w = 8 g kg-1 and RH = 20%
From the information the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\)
To calculate the saturation mixing ratio (ws), we need to use the given information of specific humidity (w) and relative humidity (RH). The saturation mixing ratio represents the maximum amount of water vapor the air can hold at a given temperature.
The formula to calculate ws from w and RH is as follows:
ws = w ÷ (1 - w) × RH ÷ 100
Given:
w = 8 g \(kg^-1\)
RH = 20%
First, we need to convert w from grams per kilogram to a decimal fraction:
w = 8 ÷ 1000 = 0.008
Now we can substitute the values into the formula:
ws = 0.008 ÷ (1 - 0.008) × 20 ÷ 100
Calculating this expression:
ws = 0.008 ÷ 0.992 × 0.20
ws ≈ 0.000161 g \(kg^-1\)
Therefore, the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\).
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centrifugal force is a misnomer. what is really happening when you feel a pull to the outside while rounding a curve?
While rounding a curve, inertia experiences a tug toward the outside.
What does force signify in science?At this level, calling a force a pushing or a pulling is entirely appropriate. A force isn't something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.
In a single sentence, what is force?A live thing's physical strength or power: He exerted all of his physical strength to open the window. To apply force on someone or something, such as to open a window, is to exert strength or authority over it. Force can also refer to physical coercion or violence.
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Can somebody plz help with grads5 science!!!!
(Fill in the blanks) all just be correct.
(WILL MARK BRAINLIEST)
All things we touch are made of matter
particles are small compund that make up matter
the particle theory states that small particels are moving constantly
they move faster based on which state of matter they are in
Explanation:
All things we touch are made of matter
particles are small compund that make up matter
the particle theory states that small particels are moving constantly
they move faster based on which state of matter they are in
particle a has less mass than particle b. both are pushed for ward across a frictionless surface by equal forces for 1 s. both start from rest. a. compare the amount of work done on each particle. that is, is the work done on a greater than, less than, or equal to the work done on b? explain. b. compare the impulses delivered to particles a and b. explain.
Weston is practical in a particle, because particle A has less mass than particle B, particle A will accelerate more rapidly.
Friction is the barrier to motion of one thing moving relative to another. According to the International Journal of Parallel, Emergent and Distributed Systems, it is not regarded as a basic force like electromagnetic or gravity (opens in new tab). The laws governing friction were first put together by scientists in the 1400s, according to the book Soil Mechanics(opens in new tab).
However, because the interactions are so intricate, it usually takes tests to characterize the force of friction under various conditions and cannot be determined only from equations or laws. Every general frictional rule has a number of exceptions.
Weston is therefore applicable to An Particle A.
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Which missing item would complete this beta decay reactWhat percentage of a radioactive species would be found as daughter material after seven half-lives?
After seven half-lives, a significant percentage (approximately 99.22%) of a radioactive species would be found as daughter material, while only a small fraction (approximately 0.78%) of the parent material would remain.
The missing item to complete the beta decay reaction would be the radioactive parent nucleus. Without knowing the specific parent nucleus involved, it is challenging to provide the complete reaction equation. In beta decay, a radioactive parent nucleus undergoes the transformation where a beta particle (electron) is emitted, resulting in the formation of a daughter nucleus.
Now let's discuss the percentage of a radioactive species that would be found as daughter material after seven half-lives. The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. Each half-life represents a 50% reduction in the amount of the parent material remaining.
After one half-life, 50% of the parent material will have decayed, leaving 50% as the daughter material. After two half-lives, another 50% of the remaining parent material will decay, resulting in 25% of the original parent material and 75% as the daughter material. This pattern continues for each subsequent half-life.
Therefore, after seven half-lives, the remaining parent material will be reduced to (1/2)^7 = 1/128 ≈ 0.78% of the original amount. Consequently, approximately 99.22% of the radioactive species would have decayed into the daughter material after seven half-lives.
It is important to note that the specific percentage of daughter material after seven half-lives will depend on the particular radioactive species and its decay characteristics. Different radioactive substances have different half-lives, so the percentage of daughter material after seven half-lives will vary between different radioactive species.
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A person drops a ball off the top of a 10 story building. What statement below best describes the movement of the ball?
Most helpful Answer~
There are no options~
Anyway If the ball is of bad quality it will get deflated/ or strike out.
' The must reasonable thing that could happen is that the ball will bounce'
*Smile* :)
bubba decides one day to drive 34 miles along a road that runs 20 degrees west of due south. he then turns onto a road that runs 15 degrees south of due west and drives 21 miles. bubba then turns and drives 12 miles along a road that runs 26 degrees east of due south. finally, bubba turns and drives a distance of 22 miles along a road running 10 degrees east of due north. determine the magnitude and direction bubba's final displacement from his starting point.
Bubba's final displacement is approximately 43.77 miles at an angle of 63.9 degrees east of due south from his starting point.
Let's represent the different legs of Bubba's journey as vectors using their magnitude and direction.
First leg
Magnitude: 34 miles
Direction: 110 degrees (20 degrees west of due south)
Vector representation: 34(cos110i - sin110j)
Second leg
Magnitude: 21 miles
Direction: 255 degrees (15 degrees south of due west)
Vector representation: 21(cos255i - sin255j)
Third leg
Magnitude: 12 miles
Direction: 164 degrees (26 degrees east of due south)
Vector representation: 12(cos164i - sin164j)
Fourth leg
Magnitude: 22 miles
Direction: 80 degrees (10 degrees east of due north)
Vector representation: 22(cos80i + sin80j)
To find the final displacement, we need to add these vectors together:
D = 34(cos110i - sin110j) + 21(cos255i - sin255j) + 12(cos164i - sin164j) + 22(cos80i + sin80j)
We can simplify this expression by using the trigonometric identities:
cos(-x) = cos(x) and sin(-x) = -sin(x)
D = 34(cos110i + sin110j) + 21(cos105i + sin75j) + 12(cos164i - sin16j) + 22(cos80i + sin80j)
D = (34cos110 + 21cos105 + 12cos164 + 22cos80)i + (34sin110 + 21sin75 - 12sin16 + 22sin80)j
Using a calculator, we can evaluate the trigonometric functions to find:
D = 20.34i + 38.92j
The magnitude of this vector is given by:
|D| = √((20.34)² + (38.92)²) = 43.77 miles
The direction of this vector with respect to due north can be found using:
theta = atan2(Dy, Dx)
where Dx and Dy are the x and y components of the vector D.
θ = atan2(38.92, 20.34) = 63.9 degrees west of due north
Therefore, Bubba's final displacement from his starting point is 43.77 miles in a direction 63.9 degrees west of due north.
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Here’s another one :(
Based on what you have seen in the simulation and your knowledge of proportionality relationships learned this month, what is the relationship between temperature and peak wavelength?
Answer: They are inversely proportional
Explanation:
wiens displacement law assets that for the black body radiation the curve for distinct temperature will peak at distinct wavelength are varying inversely proportional to the temperature
The relationship between temperature and peak wavelength they are inversely proportional.
Wien's displacement law asserts that for the black-body radiation the curve for distinct temperatures will peak at distinct wavelengths are varying inversely proportional to the temperatures.
Wien's Law given as
\(\lambda_{\max }=\frac{0.29}{T}\)
Where
T=Temperature (In Kelvin unit)
λ(max)= Peak wavelength (In cm unit)
Therefore we can say that wavelength and temperature are inversely proportional.
This formula reads: (max) = peak wavelength (cm) Temperature is T. (K) What is the link between temperature and peak wavelength? Please explain using the simulation results and the proportionality relationships you have learnt about this month. They are proportionate in a direct way.
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Which force does not operate at a distance of 1 m?
A. Weak nuclear
O B. Electric
C. Gravitational
D. Magnetic
Answer:
A
Explanation:
A 6kg object is lifted to a height of 10m. How much PE does it have?
Answer:
588 J
Explanation:
P.E = mgh
= 6 * 9.8 * 10
= 588 J
if g value is rounded and taken as 10 then answer is 600 J.
A teacher is showing the class an experiment with electric fields. She connects up two plates to a power supply and puts a candle between the plates.
a. What is an electric field
b. How can you tell that the candle flame contains charged particles?
c. The charge on the plate on the left is negative, and the charge on the plate on the right is positive. What is the charge on the particles in the flame?
d. The teacher carefully moves the candle around between the plates. The candle looks the same. What can you say about the size of the electric field between the plates?
a. Electric field is a region around an electrically charges body in vicinity of which other charges bodies experiences a force. The force is either attractive or repulsive in nature,
b. The distortion of the candle flame tells that the flame contains charged particles.
c. The charge on the particle of flame is negative as well as positive.
d. The size of the field is very big.
a. Charges particle when at rest, produces a physical field around them. When the other charges comes in contact with this field, they feels a force being applied on them. This field around the stationary electric charge is called Electric Field.
b. The charges on the plates are positive and negative on right and left respectively. When the field is applied, the candle flame gets distorted unsymmetrically. The negative particle attracted by the positive plate and vice-versa. Distortion of the flames tells that the flame has charges on it.
c. The unsymmetrical nature of distortion of the flame tells that the it contains both the charges i.e. positive as well as negative.
d. The size of the field can be told by using the magnitude of the field. The flame gets distorted only if the field is very high. Greater the magnitude of field, greater the size of the electric field.
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The magnetic striping patterns on each side of a mid-oceanic ridge are each other. Each stripe in the pattern is a measure of.
As a result, the magnetic stripes on either side of the mid-ocean ridges develop in a symmetrical pattern with opposite polarity.
On each side of the oceanic ridge, are the magnetic stripe patterns equal?Along the Oceanic Ridge, the stripes are symmetrical. A mirror image is made by them. It implies that new seafloor is created in the center (at the Ridge), and some of the new seafloor is transported to each of the Ridge's sides, generating a symmetric pattern.
On which direction does the oceanic ridge's magnetic stripe pattern run?Pictures for Each side of a mid-oceanic ridge has a different magnetic striping pattern, although they are identical.
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Matt is driving down 10th street. He drives 250 meters and the drive takes him 25 seconds. What is his speed?
Matt's speed is 10 meters per second. Matt's speed can be calculated by dividing the distance he traveled by the time it took him to travel that distance.
In this case, Matt traveled 250 meters in 25 seconds, so his speed is:
Speed = distance / time
Speed = 250 meters / 25 seconds
Speed = 10 meters per second
Therefore, Matt's speed is 10 meters per second.
In HTML format:
Matt's speed can be calculated by dividing the distance he traveled by the time it took him to travel that distance. In this case, Matt traveled 250 meters in 25 seconds, so his speed is:
Speed = distance / time
Speed = 250 meters / 25 seconds
Speed = 10 meters per second
Therefore, Matt's speed is 10 meters per second.
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How are the weight and the mass of an object related?
Answer:
The weight and the mass of an object are related because the weight of an object is a measure of the force exerted on the object by gravity, or the force needed to support it. w=mg
why does the cepheid distance method fail us beyond about 20 mpc?
The Cepheid distance method, which involves measuring the period of a type of star called a Cepheid variable and relating this to its luminosity, is only accurate up to a certain point. The method generally fails when attempting to measure distances beyond about 20 Million Parsecs (Mpc).
This is because at greater distances, the light from the Cepheid star dims greatly and becomes too faint to detect with the available technology. Furthermore, the accuracy of the available technology begins to fall off, making it difficult to accurately measure the period or intensity of the Cepheid star, ultimately leading to inaccurate distance measurements.
This limitation has severely hindered our ability to measure distance accurately beyond our local region of the universe, leaving the rest of our universe shrouded in mystery.
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when using mra to evaluate peripheral vascular flow, such as that within the arteries of the legs, saturation pulse are
Saturation pulses, when using MRA to evaluate peripheral vascular flow in the arteries of the legs, are "placed inferior to the acquired slices" to help reduce the signal from the venous blood flow in the imaging area. Thus, C holds true.
Saturation pulses are radiofrequency pulses that are used to suppress or eliminate signals from unwanted tissues, such as venous blood flow, that may interfere with the visualization of the arterial flow. In MRA of the peripheral arteries of the legs, saturation pulses are typically placed inferior to the acquired slices to help reduce the signal from the venous blood flow in the imaging area.
This helps to improve the image quality and accuracy of the evaluation of the arterial flow.
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What is a pulley and the how does it make lifting heavy loads easier?
How is MBC better than fuse wire
MCB is more sensitive to current than the fuse. It detects any abnormality in the current flow and automatically switches off the electrical circuit. In the case of MCB, the fault zone of the electrical circuit can be easily identified. ... But in case of the fuse, the entire fuse wire needs to be replaced.
How does the Law of Conservation of Energy explain why ice cubes melt in water?
Answer:
because it is an ice that is why it melt
can someone help me?
Answer:
B
Explanation:
Y won't sink because his shoes have wider area
I NEED HELP ANSWER FAST WILL GIVE BRAINLY!!!!!!!
knowing the atomic number will also tell you what about an atom?
Answer:
the number of protons.
Explanation:
the atomic number is the number of protons in the nucleus of an atom. the number of protons Define the identity of an element.
SPEAR is a storage ring at the Stanford Linear Accelerator which has a circulating beam of electrons that are moving at nearly the speed of light (2.998 108 m/s). If a similar ring is about 80.0 m in diameter and has a 0.59 A beam, how many electrons are in the beam
Answer:
n = 3.1x10¹²
Explanation:
To find the number of electrons we need to find first the charge (q):
\( I = \frac{q}{\Delta t} \rightarrow q = I*\Delta t \) (1)
Where:
I: is the electric current = 0.59 A
t: is the time
The time t is equal to:
\(v = \frac{\Delta x}{\Delta t} \rightarrow \Delta t = \frac{\Delta x}{v}\) (2)
Where:
x: is the displacement
v: is the average speed = 2.998x10⁸ m/s
The displacement is equal to the perimeter of the circumference:
\( \Delta x = 2\pi*r = \pi*d \) (3)
Where d is the diameter = 80.0 m
By entering equations (2) and (3) into (1) we have:
\(q = I*\Delta t = I*\frac{\Delta x}{v} = \frac{I\pi d}{v} = \frac{0.59 A*\pi*80.0 m}{2.99 \cdot 10^{8} m/s} = 4.96 \cdot 10^{-7} C\)
Now, the number of electrons (n) is given by:
\( n = \frac{q}{e} \)
Where e is the electron's charge = 1.6x10⁻¹⁹ C
\( n = \frac{q}{e} = \frac{4.96 \cdot 10^{-7} C}{1.6 \cdot 10^{-19} C} = 3.1 \cdot 10^{12} \)
Therefore, the number of electrons in the beam is 3.1x10¹².
I hope it helps you!