Physics Homework Help?

Question

A bowling ball of mass 7.21 kg and radius 10.2 cm rolls without slipping down a lane at 3.40 m/s .

Calculate its total kinetic energy.

Answer 1

Mass of bowling ball kg.

Radius of the ball is .

Ball rolls with a speed of m/s.

Ball rolls without slipping downa lane.

Determine total kinetic energy.

There are two types of kinetic energies acting on the ball.

They are translational and rotational.

The total KE is the sum of these two types of KE.

.

Here and .

Where and .

For a solid sphere moment of inertia is .

Angular velocity: .

Total kinetic energy: .

Total kinetic energy is 58.33 J.