A Ball in the Shape of a Uniform Spherical Shell

question 145

Short Answer

A ball in the shape of a uniform spherical shell (like a soccer ball) of mass 1.5 kg and radius 15 cm rolls down a 35° incline that is 6.0 m high, measured vertically. The ball starts from rest, and there is enough friction on the incline to prevent slipping of the ball.
(a) How fast is the ball moving forward when it reaches the bottom of the incline, and what is its angular speed at that instant?
(b) If there were no friction on the incline, how fast would the ball be moving forward and what would be its angular speed at the bottom?

Understand the significance of fiber-rich diets in promoting a healthy digestive system.

Identify the different stages of sleep and their characteristics.

Recognize the importance of avoiding tobacco and excessive sun exposure for good health.

Understand dietary recommendations to reduce the risk of cancer.

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Definitions:

Intense Dislike

A strong negative feeling towards someone or something, often leading to avoidance or hostility.

Cooperative Play

A stage of play where children play together, focusing on a shared goal or activity.

Solitary Play

A developmental stage where children play alone, focusing on their activities without interaction with others.

Extrinsic Motivation

A drive, or reason to pursue a goal, that arises from the wish to have external rewards, perhaps by earning money or praise.