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?

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Definitions:

Adverse Supply Shock

An unexpected event that suddenly decreases supply, leading to higher prices and lower quantities available.

Short-run Phillips Curve

A graphical representation showing the inverse relationship between the rate of inflation and the rate of unemployment in an economy over a short period.

Favorable Supply Shock

An unexpected event that increases the availability of a good or service, thus lowering its price and benefiting consumers.

Inflation

The measure of how quickly the general pricing for products and services advances, decreasing monetary purchasing power.