Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

System of Particle and Rotational Motion

Question:

A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In each case, the ball will reach the bottom : 

Options:

With different speed

With the same speed

Immediately

With different speed but same time

Correct Answer:

With the same speed

Explanation:

Acceleration of the rolling sphere : 

a = gsinθ/((1+k2/R2))

Velocity of the sphere at the bottom of the inclined plane : 

v=√(2gh/((1+k2/R2)))

The sphere will reach the bottom with the same speed v because h is the same in both the cases.