A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In each case, the ball will :
Answer & explanation
Correct answer: option 2
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 take a longer time to roll down one plane than the other. It will take a larger time in case if the plane with smaller inclination because the acceleration is proportional to sin θ.