Question

If the mass of a body is changed to n times then what should be the change in velocity such that k.E remains the same

Answer 1

Answer:

If the mass of a body is changed to n times then  the velocity will become $\frac{1}{\sqrt{n} }$ times.

Explanation:

Let initial mass of the body is m kg

     Initial velocity is v m/s

     Final mass of the body = nm kg

According to Law of conservation of Energy,

    Total energy remains same  (Here Kinetic energy remains same)

 That is, Initial kinetic energy = final kinetic energy

              $\frac{1}{2}mv^2=\frac{1}{2}m^{\prime}v^{\prime2}$

             $\frac{1}{2}mv^2=\frac{1}{2}\times nm\times v^{\prime 2}$

             $v^{\prime}=\frac{v}{\sqrt{n}}$

If the mass of a body is changed to n times then  the velocity will become $\frac{1}{\sqrt{n} }$ times.