Solved: A bowling ball of mass 7.3 kg and radius 9.0 cm

Chapter 2, Problem 45P

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QUESTION:

Problem 45P

A bowling ball of mass 7.3 kg and radius 9.0 cm rolls without slipping down a lane at 3.3 m/s. Calculate its total kinetic energy.

Questions & Answers

QUESTION:

Problem 45P

A bowling ball of mass 7.3 kg and radius 9.0 cm rolls without slipping down a lane at 3.3 m/s. Calculate its total kinetic energy.

ANSWER:

Step 1 of 2

The kinetic energy of the particle is calculated by;

 

Here  is the mass of the body and  is the velocity of the body.

The total kinetic energy is the sum of the translational and rotational kinetic energies.

Since the ball is rolling without slipping, the angular velocity is given by;

 

The rotational inertia of a sphere about an axis through its centre is

 

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