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PhysicsQ&A Library1) Consider a bowling ball of 9.50 kg, a moment of inertia of 2.80E-02 kg·m², and a radius of 0.150 m. If it rolls down the lane without slipping at a linear speed of 7.50 m/s, what is its total kinetic energy?2) A 2.5 kg mass is moving in a straight line at 12.5 m/s towards the edge of a disk with a diameter of 1.5 m. The angular momentum of the mass, in kg m2/s, is most nearly?3)A child sits on a carousel at a distance of 8.50 m from the center and rotates through an arc length of 6.50 m. What is the angular displacement of the child?3) You are attempting to lift a 350 kg sofa to your third-floor apartment building using a pulley system that has a mechanical advantage of 12. Which force must be exerted by you to lift the sofa? 4) An automobile tire with a radius of 0.30 m accelerates from rest at a constant 2.0 rad/s². What is the tangential component of acceleration for a point on the outer edge of the tire?5)A bucket filled with water has a mass of 23.0 kg and is attached to a rope that is wound around a cylinder with a radius of 0.15 m at the top of a well. What torque does the load produce on the cylinder?Question

Asked Oct 11, 2019

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1) Consider a bowling ball of 9.50 kg, a moment of inertia of 2.80E-02 kg·m², and a radius of 0.150 m. If it rolls down the lane without slipping at a linear speed of 7.50 m/s, what is its total kinetic energy?

2) A 2.5 kg mass is moving in a straight line at 12.5 m/s towards the edge of a disk with a diameter of 1.5 m. The angular momentum of the mass, in kg m^{2}/s, is most nearly?

3)A child sits on a carousel at a distance of 8.50 m from the center and rotates through an arc length of 6.50 m. What is the angular displacement of the child?

3) You are attempting to lift a 350 kg sofa to your third-floor apartment building using a pulley system that has a mechanical advantage of 12. Which force must be exerted by you to lift the sofa?

4) An automobile tire with a radius of 0.30 m accelerates from rest at a constant 2.0 rad/s². What is the tangential component of acceleration for a point on the outer edge of the tire?

5)A bucket filled with water has a mass of 23.0 kg and is attached to a rope that is wound around a cylinder with a radius of 0.15 m at the top of a well. What torque does the load produce on the cylinder?

Step 1

The condition for pure rolling is

Step 2

Here *v _{cm}* is the linear velocity of the ball of the velocity of the center of mass of the ball,

The angular speed of the ball can be calculated from the above relation.

Substitute 7.5 m/s for *v _{cm}*, 0.150 m for

Step 3

The kinetic energy of the rolling ball without slipping is defined as the sum of its rotati...

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