Consider the following two statements:(1) Linear momentum of a system of particles is zero.(2) Kinetic energy of system of particles is zero.
- A(1) does not imply (2) and (2) does not imply (1)
- B(1) implies (2) but (2) does not imply (1)
- C(1) does not imply (2) but (2) implies (1)
- D(1) implies (2) and (2) implies (1)
Solution & Step-by-step Explanation
If (2) is true, all particles must be at rest (), so must be zero. Hence (2) implies (1).If (1) is true, the net vector sum is zero (e.g., two particles moving in opposite directions), but kinetic energy () is positive. Hence (1) does not imply (2).