A car of mass 1000 kg moves with a speed of 60 m/s on a circular track of radius 110 m. What is the magnitude of its angular momentum (in kg·m2/s) relative to the center of the race track? Select the correct answer.

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1. 6.6 x 106

2. 6.6 x 107

3. 6.6 x 104

4. 3.3 x 103

5. 3.3 x 106

A particle whose mass is 3 kg moves in the xy plane with a constant speed of 4 m/s in the x -direction along the line y = 3. What is its angular momentum (in kg·m2/s) relative to the origin? Select the correct answer.

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1. -36k

2. 36k

3. -12k

4. 12k

5. -48k

A solid cylinder of radius R = 1.0 m and mass 6 kg rotates about its axis. When its angular velocity is 10 rad/s, its angular momentum (in kg·m2/s) is _____ . Select the correct answer.

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1. 30

2. 35

3. 45

4. 25

5. 15

Two vectors lying in the xz plane are given by the equations A = 3i +3k and B = -2i + 4k . The value of A x B is _____ . Select the correct answer.

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1. -18j

2. 18k

3. -27j

4. 27j

5. -22i + 25k

Stars originate as large bodies of slowly rotating gas. Because of gravity, these clumps of gas slowly decrease in size. The angular velocity of a star increases as it shrinks because of _____ . Select the correct answer.

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1. conservation of angular momentum

2. conservation of linear momentum

3. conservation of energy

4. the law of universal gravitation

5. conservation of mass

A skater extends her arms horizontally, holding a 8-kg mass in each hand. She is rotating about a vertical axis with an angular velocity of one revolution per second. If she drops her hands to her sides, what will the final angular velocity (in rev/s) be if her moment of inertia remains approximately constant at 7 kg·m2, and the distance of the masses from the axis changes from 1.1 m to 0.2 m? Select the correct answer.

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1. 3

2. 1

3. 6

4. 8

5. 2