Concepts Of Physics MCQ Edition [Volume 1]PhysicsCentre of Mass, Linear momentum, Collision
A uniform sphere is situated on a smooth horizontal surface, and a horizontal force F is exerted on it at a distance h above the surface. The acceleration of the centre
Options
- Ais maximum when h = 2R
- Bis maximum when h = 0
- Cis independent of h
- Dis maximum when h = R
Correct answer
C. is independent of h
Step-by-step solution
For a sphere placed on a smooth horizontal surface, there is no frictional force acting between the sphere and the surface. The only horizontal force acting on the sphere is the applied force F . By Newton's second law of motion for the center of mass, the net external force is equal to the product of mass and the acceleration of the center of mass. F = Ma a = F M This expression shows that the linear acceleration a of the center of the sphere depends only on the applied force F and the mass M of the sphere. It is