Question

A body of m is moving in a straight line at a constant speed v. Its kinetic energy is k and the magnitude of its momentum is p. Which of the following relations is/are correct?

• A.
• B.
• C.
• D.

Answer 1

Answer: (A), (C)

The correct options are
A
C

Now p=mv or $p^2=m^2{v}^2$ or $\frac{p^2}{2m}=\frac{1}{2}m{v}^2=k$ or $p=\sqrt{2mk}$. Also p = mv and $k=\frac{1}{2}m{v}^2$. Dividing the two we get 2k = pv. Hence the correct relations are (a) and (c).