Q. Consider the following two statements I. Linear momentum of a system of particles is zero. II. Kinetic energy of a system of particles is zero. Then
A) I implies II and II implies I
B) I does not imply II and II does not imply I
C) I implies II but II does not imply I
D) I does not imply II but II implies I
Explanation
(a) Linear momentum $p$ and kinetic energy $K$ are interrelated as
$K = \frac{p^{2}}{2m}$ or $p = \sqrt{2mK,}$ hence zero momentum implies zero kinetic energy and $vice\ versa.$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.