AP Physics C Mechanics: Unit – 7 – Gravitation Practice Test
AP Physics C Mechanics: Unit – 7 – Gravitation Practice Test
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Question 1 of 19
1. Question
A satellite of mass m orbits 3.8x10⁸ m above the Earth. If the force due to gravity of the Earth on the satellite is 7.99N, what is the mass of the satellite? Use: kg; kg;
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Question 2 of 19
2. Question
A satellite of mass m orbits 3.8x10⁸ m above the Earth. It malfunctions and half of the satellite breaks off, leaving the satellite with only half the original mass. What is the resulting force due to gravity on the satellite in terms of , the original force due to gravity when the satellite was whole? Use: kg; kg;
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Question 3 of 19
3. Question
Suppose that a person on Earth weighs 800N. If this person were to travel to a distant planet that had twice the density and the same radius of Earth, how much will the person weigh on this new planet?
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Question 4 of 19
4. Question
An astronaut lands on a new planet. She knows her own mass, m, and the radius of the planet, r. What other value must she know in order to find the mass of the new planet?
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Question 5 of 19
5. Question
Two asteroids, one with a mass of and the other with mass , are apart. What is the gravitational force on the LARGER asteroid? Use:
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Question 6 of 19
6. Question
How would the linear velocity of the Moon be different if its mass was doubled? Assume that the distance to the Earth stayed the same
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Question 7 of 19
7. Question
In a fictional universe, two planets exist: one with a mass of 1500kg and diameter of 1200m, the other with a mass of 7000kg and diameter of 1600m. The two planets’ closest surfaces to one another are separated by a distance of 3000m. Assuming that the gravitational constant in this universe, G, is 1000 , what is the gravitational force between the two planets?
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Question 8 of 19
8. Question
The planet Mercury travels around the Sun with a mean orbital radius of 5.8x m. The mass of the Sun is 1.99x kg. Use Newton’s version of Kepler’s third law to determine how long it takes Mercury to orbit the Sun. Give your answer in Earth days.
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Question 9 of 19
9. Question
The period of the moon is approximately 27.2 days (2.35 x 10^{6} s). Determine the radius of the moon’s orbit and the orbital speed of the moon.
Use: M_{E }= 5.98 x 10^{24} kg, R_{E} = 6.37 x 10^{6} m
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Question 10 of 19
10. Question
A geosynchronous satellite is a satellite that orbits the earth with an orbital period of 24 hours, thus matching the period of the earth’s rotational motion. A special class of geosynchronous satellites is a geostationary satellite. A geostationary satellite orbits the earth in 24 hours along an orbital path that is parallel to an imaginary plane drawn through the Earth’s equator. Such a satellite appears permanently fixed above the same location on the Earth. If a geostationary satellite wishes to orbit the earth in 24 hours (86400 s), then how high above the earth’s surface must it be located?
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Question 11 of 19
11. Question
A satellite is orbiting the earth. Which of the following variables will affect the speed of the satellite?
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Question 12 of 19
12. Question
If on earth you have a weight, W, what would your new weight be if you were standing on a planet with the same mass as earth, but with half the radius?
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Question 13 of 19
13. Question
Otis is conducting his famous elevator experiments. Otis stands on a bathroom scale and reads the scale while ascending and descending the building. Otis’ mass is 80 kg. He notices that the scale readings depend on what the elevator is doing. Use a freebody diagram and Newton’s second law of motion to solve the following problems. What is the scale reading when Otis accelerates upward at 0.40 m/s^{2}?
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Question 14 of 19
14. Question
Two satellites are a distance r from each other in space. If one of the satellites has a mass of m and the other has a mass of 2m, which one will have the smaller acceleration?
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Question 15 of 19
15. Question
An asteroid with a mass of 10 x 10^{15} kg approaches the Earth. If they are 250,000,000m apart, what is the gravitational force exerted by the Earth on the asteroid? Use: kg; kg;
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Question 16 of 19
16. Question
A certain planet has three times the radius of Earth and nine times the mass. How does the acceleration of gravity at the surface of this planet (a g ) compare to the acceleration at the surface of Earth (g)?
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Question 17 of 19
17. Question
Jennifer is piloting her spaceship around the moon. How fast does she need to go to orbits the moon 200km above the surface?
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Question 18 of 19
18. Question
Suppose the Space Shuttle is in orbit about the earth at 400 km above its surface. Use the information given in the previous question to determine the orbital speed and the orbital period of the Space Shuttle.
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Question 19 of 19
19. Question
An electronic scale is used to find the mass of a lead cube at sea level. The scale and lead cube are then transported to the top of a mountain, over 20000 ft above sea level. How does the weight reading compare to the weight given at sea level?
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