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1. A spinning ice skater on extremely smooth ice is able to control the rate at which she rotates by pulling in her arms. Which of the following statements are true about the skater during this process? (There could be more than one correct choice.) A) Her angular momentum remains constant. B) Her kinetic energy remains constant. C) Her moment of inertia remains constant. D) She is subject to a constant non-zero torque.

1. A spinning ice skater on extremely smooth ice is able to control the rate at which she rotates by pulling in her arms. Which of the following statements are true about the skater during this process? (There could be more than one correct choice.) A) Her angular momentum remains constant. B) Her kinetic energy remains constant. C) Her moment of inertia remains constant. D) She is subject to a constant non-zero torque.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A spinning ice skater on extremely smooth ice is able to control the rate at which she rotates by pulling in her arms. Which of the following statements are true about the skater during this process? (There could be more than one correct choice.) A) Her angular momentum remains constant. B) Her kinetic energy remains constant. C) Her moment of inertia remains constant. D) She is subject to a constant non-zero torque. 2. The moment of inertia of a solid cylinder about its axis is given by 0.5MR2. If this cylinder rolls without slipping, what is the ratio of its rotational kinetic energy to its translational kinetic energy? A) 3:1 B) 1:2 C) 1:3 D) 2:1 3. A disk, a hoop, and a solid sphere are released at the same time at the top of an inclined plane. They are all uniform and roll without slipping. In what order do they reach the bottom? A) hoop, sphere, disk B) hoop, disk, sphere C) sphere, disk, hoop D) disk, hoop, sphere 4. An object's angular momentum changes by 10 kg-m2/s in 2.0 s. What magnitude average torque acted on this object? A) 5 N-m B) 20 N-m C) 2.5 N-m D) 10 N-m 5. A boy and a girl are balanced on a massless seesaw. The boy has a mass of 60 kg and the girl's mass is 50 kg. If the boy sits 1.5 m from the pivot point on one side of the seesaw, where must the girl sit on the other side for equilibrium? A) 1.8 m B) 1.3 m C) 2.5 m D) 3.0 m 6. Angular momentum cannot be conserved during what condition? A) when there is a net force on the system. B) when the angular displacement changes. C) when the moment of inertia changes. D) when there is net torque on the system. 7. Consider a solid uniform sphere of radius R and mass M rolling without slipping. Which form of its kinetic energy is larger, translational or rotational? A) Both are equal. B) Rotational kinetic energy is larger. C) Translational kinetic energy is larger. D) You need to know the speed of the sphere to tell.
Transcribed Image Text:1. A spinning ice skater on extremely smooth ice is able to control the rate at which she rotates by pulling in her arms. Which of the following statements are true about the skater during this process? (There could be more than one correct choice.) A) Her angular momentum remains constant. B) Her kinetic energy remains constant. C) Her moment of inertia remains constant. D) She is subject to a constant non-zero torque. 2. The moment of inertia of a solid cylinder about its axis is given by 0.5MR2. If this cylinder rolls without slipping, what is the ratio of its rotational kinetic energy to its translational kinetic energy? A) 3:1 B) 1:2 C) 1:3 D) 2:1 3. A disk, a hoop, and a solid sphere are released at the same time at the top of an inclined plane. They are all uniform and roll without slipping. In what order do they reach the bottom? A) hoop, sphere, disk B) hoop, disk, sphere C) sphere, disk, hoop D) disk, hoop, sphere 4. An object's angular momentum changes by 10 kg-m2/s in 2.0 s. What magnitude average torque acted on this object? A) 5 N-m B) 20 N-m C) 2.5 N-m D) 10 N-m 5. A boy and a girl are balanced on a massless seesaw. The boy has a mass of 60 kg and the girl's mass is 50 kg. If the boy sits 1.5 m from the pivot point on one side of the seesaw, where must the girl sit on the other side for equilibrium? A) 1.8 m B) 1.3 m C) 2.5 m D) 3.0 m 6. Angular momentum cannot be conserved during what condition? A) when there is a net force on the system. B) when the angular displacement changes. C) when the moment of inertia changes. D) when there is net torque on the system. 7. Consider a solid uniform sphere of radius R and mass M rolling without slipping. Which form of its kinetic energy is larger, translational or rotational? A) Both are equal. B) Rotational kinetic energy is larger. C) Translational kinetic energy is larger. D) You need to know the speed of the sphere to tell.
8. What condition or conditions is/are necessary for static equilibrium? A) ΣFx 0 Β) ΣFx = 0 , ΣFy -0 C) ΣFy -0 D) ΣFx = 0 , ΣFy- 0, ΣΤ 0 9. Consider a rigid body that is rotating. Which of the following is an accurate statement? A) Its center of rotation must be moving with a constant velocity. B) Its center of rotation must be at rest, i.e., not moving. C) All points on the body are moving with the same angular velocity. D) All points on the body are moving with the same linear velocity. 10. A planet of constant mass orbits the sun in an elliptical orbit. Neglecting any friction effects, what happens to the planet's rotational kinetic energy about the sun's center? A) It remains constant. B) It increases continually. C) It decreases when the planet approaches the sun, and increases when it moves farther away. D) It increases when the planet approaches the sun, and decreases when it moves farther away.
Transcribed Image Text:8. What condition or conditions is/are necessary for static equilibrium? A) ΣFx 0 Β) ΣFx = 0 , ΣFy -0 C) ΣFy -0 D) ΣFx = 0 , ΣFy- 0, ΣΤ 0 9. Consider a rigid body that is rotating. Which of the following is an accurate statement? A) Its center of rotation must be moving with a constant velocity. B) Its center of rotation must be at rest, i.e., not moving. C) All points on the body are moving with the same angular velocity. D) All points on the body are moving with the same linear velocity. 10. A planet of constant mass orbits the sun in an elliptical orbit. Neglecting any friction effects, what happens to the planet's rotational kinetic energy about the sun's center? A) It remains constant. B) It increases continually. C) It decreases when the planet approaches the sun, and increases when it moves farther away. D) It increases when the planet approaches the sun, and decreases when it moves farther away.
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