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from http://njctl.org/courses/science/algebra-based-physics/ Gravitation MC practice 1. An apple hangs on a tree on the Earth. Which of the following statements is correct about the magnitude of the forces involved? A. The force on the apple is greater than the force on the Earth because the Earth is more massive. B. The force on the Earth is greater than the force on the apple because the Earth is more massive. C. The force on the apple is less than the force on the Earth because the tree is supporting the apple. D. The forces on the apple and Earth are equal. E. The forces on the apple and the Earth are zero because they are not touching each other. 2. Two objects are attracted to each other by a gravitational force F. If one mass is doubled and the other is tripled without changing the distance, what is the new gravitational force between the objects in terms of F? A. 4 F B. 9 F C. 6 F D. 1/9 F E. 1/6 F 3. Two objects are attracted to each other by a gravitational force F. If the distance between the objects is doubled, what is the new gravitational force between the objects in terms of F? A. 4 F B. 9 F C. 16 F D. 1/9 F E. 1/4 F 4. A hypothetical planet has a mass of four times that of the Earth and radius of twice that of the Earth? What is the acceleration due to gravity on the planet in terms of the acceleration on the Earth? A. g B. C. D. 2g E. 5. A satellite A has twice the mass of satellite B. The satellites orbit a planet with the same orbital radius. The orbital velocity of the satellite A compared to B is: A. 2X greater B. 4X greater C. Half as much D. One-quarter as much E. The same Circular Motion MC practice 1. A car moves around a circular path of a constant radius at a constant speed. When the car is at the top of the circular path, what is the direction of the velocity? A. B. D. E. C. 2. When the car from #1 is at the top of the circular path, what is the direction of the acceleration? A. B. C. D. E. 3. An object travels in a circular path of radius r at a constant speed v. What happens to the object’s acceleration if the speed is doubled and the radius stays unchanged? A. It doubles B. It quadruples C. It is cut to a half D. It is cut to a quarter E. Stays unchanged 4. An object moves around a circular path at a constant speed and makes five complete revolutions in 20 seconds. What is the period of rotation? A. 5 s B. 10 s C. 4 s D. 20 s E. 15 s from http://www.bps-ok.org/physics/apfiles/0104testr.pdf Projectile Motion MC A girl stood at first base on a level playing field and tossed a softball at an angle of 35 degrees above the horizontal. It was caught by another player over home base at the same height above the ground as it was originally thrown. 1. At which point along its trajectory was the softball traveling the slowest? A. Just after it was released. B. When it reached its maximum height. C. Just before it was caught. D. Both A and C are correct if there is no air resistance. 2. If the girl threw another softball with the same initial speed, but at 55 degrees above the horizontal it would have risen to . . . A. a lower height than before. B. the same height as before. C. a greater height than before. 3. What angle of release would make the softball travel as far as possible? A. 15 degrees B. 30 degrees C. 45 degrees D. 65 degrees 4. What was the softball's horizontal acceleration during its flight? A. 0 m/s² B. 2.45 m/s² C. 4.90 m/s² D. 9.80 m/s² Answers Gravitation MC 1. D (3rd law) 2. C 3. E 4. A 5. E The mass of the satellite cancels from the equation. Only the mass at the center of the orbit matters. Circular Motion MC 1. C (tangent to circle) 2. B (toward the center) 3. B 4. C (Period is seconds for 1 circle) Projectile Motion MC 1. B 2. C 3. C 4. A (No forces in the x direction.)