Question

A 4.0-kg mass is moving with speed 2.0 m/s. A 1.0-kg mass is moving with speed 4.0 m/s. Both objects encounter the same constant braking force, and are brought to rest. Which object travels the greater distance before stopping?

Answer 1

Answer

given,

mass of object 1 = 4 Kg

Speed of object 1 = 2 m/s

mass of object 2 = 1 Kg

speed of object 2 = 4 m/s

KE of the object 1 = $\dfrac{1}{2}MV^2$

                             = $\dfrac{1}{2}\times 4 \times 2^2$

                             = 8 J

KE of the object 2 = $\dfrac{1}{2}MV^2$

                             = $\dfrac{1}{2}\times 1 \times 4^2$

                             = 8 J

Kinetic energy of both the object is same hence,Work done by both the object will also be same.

It is given that braking force is same in both cases.

So, distance travel by Both the object will be same.