question_answer 18)

A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination, (a) Will it reach the bottom with the same speed in each case ? (b) Will it take longer to roll down one plane than the other ? (c) If so, which one and why ? 

Answer:

                Acceleration of the rolling sphere,   Velocity of the sphere at the bottom of the inclined plane,   (a) Yes, the sphere will reach the bottom with the same speed v because h is same in both cases. (b) Yes, the sphere will take longer time to roll down one plane than the other. (c) The sphere will take larger time in case of the plane with smaller inclination because the acceleration, .