1 A grindstone increases in angular speed from 4.00 rad/sec to 12.00 rad/sec in 4.00 seconds. Through what angle does it turn during that time if the angular acceleration is constant? a 8.00 rad b 12.0 rad c 16.0 rad d 32.0 rad e 64.0 rad 2 A cyclist rides a bicycle with a wheel radius of 0.500 m across campus. A piece of plastic on the front rim makes a clicking sound every time it passes through the fork. If the cyclist counts 320 clicks between her apartment and the cafeteria, how far has she traveled? a 0.50 km b 0.80 km c 1.0 km d 1.5 km e 1.8 km 3 Find the angular speed of Earth around the Sun in radians per second. a 2.22 x 10-6 rad/sec b 1.16 x 10-7 rad/sec c 3.17 x 10-8 rad/sec d 4.52 x 10-7 rad/sec e 1.99 x 10-7 rad/sec 7.1 7.1 7.1 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 1 of 7
1 A 0.400 kg object attached to the end of a string of length 0.500 m is swing in a circular path and in a vertical plane. If a constant angular speed of 8.00 rad/sec is maintained, what is the tension in the string when the object is at the top of the circular path? a 8.88 N b 10.5 N c 12.8 N d 19.6 N e None of the above 2 A merry-go-round rotates with constant angular speed. As a rider moves from the rim of the merry-go-round toward the center, what happens to the magnitude of the total centripetal force that must be exerted on him? a It increases b It is not zero, but remains constant c It decreases d Its always zero e It increases or decreases, depending on the direction of the rotation 3 A satellite moves in a circular orbit at a constant speed around Earth. Which of the following statements is true? a No force acts on the satellite b The satellite moves at constant speed and hence doesn't accelerate c The satellite has an acceleration directed away from Earth d The satellite has an acceleration directed towards Earth e Work is done on the satellite by the force of gravity 7.2 7.2 7.2 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 2 of 7
1 Planet X has twice Earth's mass and three times Earth's radius. The magnitude of the gravitational field near Planet X's surface is most nearly a 2 N/kg b 7 N/kg c 10 N/kg d 20 N/kg 7.3 2 The magnitude of the gravitational field on the surface of a particular planet is 2g. The planet's mass if half the mass of Earth. What is the planet's radius in terms of the radius R E of Earth? a R E / 4 b R E / 2 c R E / sqrt(2) d 2 R E 3 What is the gravitational acceleration close to the surface of a planet with twice the mass and twice the radius of Earth. Answer as a multiple of g, the gravitational acceleration near Earth's surface. a 0.25g b 0.5g c g d 2g e 4g 7.3 7.3 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 3 of 7
7.4 1 A planet is in an elliptical orbit around a star, as shown above. Which of the following best represents the mechanical energy E planet of just the planet and the mechanical energy E star-planet of the star-planet system as functions of time for one complete orbit? Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 4 of 7
2 A satellite moves in a circular orbit at a constant speed around Earth. Which of the following statements is true? a No force acts on the satellite b The satellite moves at constant speed and hence doesn't accelerate c The satellite has an acceleration directed away from Earth d The satellite has an acceleration directed toward Earth e Work is done on the satellite by the force of gravity 3 Which of the following statements are true of an object in orbit around Earth? a If the orbit is circular, the gravity force is perpendicular to the object's velocity b If the orbit is elliptical, the gravity force is perpendicular to the velocity vector c If the orbit is not circular, the speed is greatest when the object is farthest away from Earth d The gravity force on the object always has components both parallel and perpendicular to the objec'ts velocity e All these statements are true 7.4 7.4 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 5 of 7
1 A satellite of mass 1500. kg orbits the Earth (mass = 5.98 x 10 24 kg) at a height of 525 km. What is the potential energy of the satellite at this point? The radius of the Earth is approximately 6.38 x 10 6 m) a 5.54 x 10 13 J b 8.66 x 10 10 J c 7.23 x 10 11 J d 4.38 x 10 9 J e 3.52 x 10 8 J 2 An asteroid with a mass of m = 5.9 x 10 11 kg comes from deep space, effectively from infinity, and falls towards Earth. Find the change in potential energy when it reaches a point only 4.00 x 10 8 m from Earth. a 5.88 x 10 17 J b 4.35 x 10 16 J c -5.88 x 10 17 J d -4.35 x 10 16 J 3 An asteroid with a mass of m = 5.9 x 10 11 kg comes from deep space, effectively from infinity, and falls towards Earth. Find the work done by the force of gravity pulling the asteroid to a point only 4.00 x 10 8 m from Earth. a 5.88 x 10 17 J b 4.35 x 10 16 J c -5.88 x 10 17 J d -4.35 x 10 16 J 7.5 7.5 7.5 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 6 of 7
1 An object is located on the surface of a spherical planet of mass M and radius R. The escape speed from the planet does not depend on which of the following? a M b The density of the planet c R d The acceleration due to gravity on the planet e The mass of the object 2 Calculate the escape speed needed to escape the gravitational pull of Mercury, with a mass of 3.29 x 10 23 kg and a radius of 1516 miles. a 4.9 km/sec b 4.3 km/sec c 5.2 km/sec d 8.9 km/sec 3 Calculate the escape speed needed to escape the gravitational pull of Jupiter, with a mass of 1.9 x 10 27 kg and a radius of 43441 miles. a 35 km/sec b 135 km/sec c 52 km/sec d 60 km/sec 7.6 7.6 7.6 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 7 of 7