A piano with a weight of 4500 N is resting on a frictionless

A piano with a weight of 4500 N is resting on a frictionless horizontal ice-covered parking lot. You push on the piano with a constant horizontal force of F. Which of the following statements is true? The piano will accelerate, no matter how small F is. The piano will not accelerate unless F > 4500 N. The piano will move with constant velocity, because F is constant. The piano will move as long as you apply F; once the force is removed, it will stop.

Solution

(a) The piano will accelerate, no matter how small F is

This statement is true as you can see, the surface is ice covered and also frictionless. So the resistance applied by the piano will be the gravitational force acting downwards which can be overpowered by less force in horizontal direction. The co-efficient of friction will be very low due to the frictionless surface and also on ice, we skid will little force.