The linear momentum of a system of rigid bodies will be conserved, if
- A.the system is in a gravitational field
- B.no external forces act on the system
- C.kinetic energy is conserved
- D.none of the above
Show answer
Correct answer: B. no external forces act on the system
Explanation
The correct answer is B, no external forces act on the system. The law of conservation of linear momentum follows straight from Newton's second law: the rate of change of the momentum of a system equals the net external force acting on it, so when that force is zero the total momentum stays the same in size and in direction. The forces the bodies exert on one another are internal, they come in action and reaction pairs, and they cancel out, which is why a gun and its bullet, or two carrom coins that strike each other, keep the same total momentum. Option A is wrong because gravity is itself an external force and it changes the momentum of a falling body every second. Option C is wrong because kinetic energy is lost in an inelastic collision while momentum is still conserved, so the two are separate laws. Option D is wrong because option B states the condition correctly. Exam tip: momentum is conserved in every collision, kinetic energy only in a perfectly elastic one.