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1 Physics Unit Exam, Kinematics 1. The diagram shows two bowling balls, A and B, each having a mass of 7.00 kilograms, placed 2.00 meters apart. What is the magnitude of the gravitational force exerted by ball A on ball B? N N N N 2. The centers of two 15.0-kilogram spheres are separated by 3.00 meters. The magnitude of the gravitational force between the two spheres is approximately N N N N 3. Gravitational force F exists between point objects A and B separated by distance R. If the mass of A is doubled and distance R is tripled, what is the new gravitational force between A and B? 2F 9 2F 3 3F 2 9F 2 4. The radius of Mars is approximately one-half the radius of Earth, and the mass of Mars is approximately one-tenth the mass of Earth. Compared to the acceleration due to gravity on the surface of Earth, the acceleration due to gravity on the surface of Mars is smaller the same larger Version A The Bronx High School of Science 5. What is the magnitude of the gravitational force between two 5.0-kilogram masses separated by a distance of 5.0 meters? N N N N 6. The gravitational force of attraction between two objects would be increased by doubling the distance between the objects, only doubling the mass of one object and doubling the distance between the objects doubling the mass of both objects, only doubling the mass of both objects and doubling the distance between the objects 7. The magnitude of the gravitational force between two objects is 20. Newtons. If the mass of each object were doubled, the magnitude of the gravitational force between the objects would be 20. N 10. N 5.0 N 80 N Base your answers to questions 8 and 9 on the information and diagram below. Spacecraft S is traveling from planet P 1 toward planet P 2 At the position shown, the magnitude of the gravitational force of planet P 1 on the spacecraft is equal to the magnitude of the gravitational force of planet P 2 on the spacecraft. 8. If distance X is greater than distance Y, then the mass of P 1 must be less than the mass of P 2 greater than the mass of P 2 equal to the mass of P 2 Version A Page 1

2 9. As the spacecraft moves from the position shown toward planet P 2, the ratio of the gravitational force of P 2 on the spacecraft to the gravitational force of P 1 on the spacecraft will decrease remain the same increase 12. The diagram below represents two satellites of equal mass, A and B, in circular orbits around a planet. 10. Compared to the mass of an object at the surface of the Earth, the mass of the object a distance of two Earth radii from the center of the Earth is the same one-half as great twice as great one-fourth as great 11. Which diagram best represents the gravitational field lines surrounding Earth? Compared to the magnitude of the gravitational force of attraction between satellite A and the planet, the magnitude of the gravitational force of attraction between satellite B and the planet is half as great one-fourth as great twice as great four times as great 13. A satellite weighs 200 newtons on the surface of Earth. What is its weight at a distance of one Earth radius above the surface of Earth? 50 N 400 N 100 N 800 N 14. An astronaut weighs newtons on the surface of Earth. What is the weight of the astronaut meters above the surface of Earth? 0.00 N N N N 15. An object weighs 100. Newtons on Earth s surface. When it is moved to a point one Earth radius above Earth s surface, it will weigh 50.0 N 25.0 N 400. N 100. N 16. When a satellite is a distance R from the center of Earth, the force due to gravity on the satellite is F. What is the force due to gravity on the satellite when its distance from the center of Earth is 3R? F 9 9F F 3 F Version A Page 2

3 17. Which graph best represents the relationship between the mass (m) of a satellite launched from Earth and the satellite's distance (r) away from Earth? 18. An object weighs 200. Newtons at a distance of 100. kilometers above the center of a small uniform planet. How much will the object weigh 200. kilometers above the planet's center? 25.0 N 50.0 N 100. N 400. N 19. Which graph best represents the gravitational force between two point masses as a function of the distance between the masses? 20. Two point masses are located a distance, D, apart. The gravitational force of attraction between them can be quadrupled by changing the distance to D/2 1/4 D 2D 4D 21. If the distance between a spaceship and the center of the Earth is increased from one Earth radius to 4 Earth radii, the gravitational force acting on the spaceship becomes approximately 1/16 as great 16 times greater 1/4 as great 4 times greater 22. As a spaceship from Earth goes toward the moon, the force it exerts on the earth decreases remains the same increases 23. At a given location on the earth's surface, which graph best represents the relationship between an object's mass (M) and weight (W)? Version A Page 3

4 Physics Unit Exam, Kinematics Version A The Bronx High School of Science Reference Tables Version A Page 3

5 Answer Key [New Exam] 1. D 2. D 3. A 4. A 5. C 6. C 7. D 8. A 9. B 10. A 11. A 12. C 13. A 14. B 15. C 16. A 17. D 18. C 19. C 20. A 21. A 22. A 23. B Version A

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