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?
A.
With the same speed
B.
With different speed
C.
With different speed but same time
D.
Immediately
Answer: Option A
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.