Question

two bodies of unequal masses are moving along a straight line with same kinetic energy if the force is applied to stop them are also equal calculate ratio of the distance is covered by them before coming to rest​

Answer 1

Let mass of P be m1

and

Mass of Q be m2

Also

Let time taken by Q be t

thus

Time taken by p = 2t

Similarly

Let distance travelled by Q be x

Thus

distance traveled by P = x/3

velocities

VP = x/3/ 2t = x/ 6t

VQ = x/t

Thus

Ratio of velocities = 1:6