Question

Two identical masses, A and B, slide down frictionless ramps, both starting at a height of 3M above the ground. Object A slides down a very steep ramp, while B slides down a very gradual incline. Which object is travelling faster at the bottom of the ramp?
A. object A
b. Object B
c. neither, they have the same speed

Answer 1

Answer: c. Neither, they have the same speed.

In both the cases, there will be work done by the gravitational force. Since, the gravitational force is a conservative force, its work done does not depend on the path as it only depends on the initial and final position of the objects. Since, the initial and final positions are same for both the objects, the work done by gravitational force will be same in both the cases.

Hence, Work done by gravitational force = Change in the kinetic energy

So, the kinetic energy will be same for both the object.

Since, the masses are same: Kinetic energy = $\frac{1}{2}mv^2$

Hence, the speed will also be same for both the objects.

Correct option: C