Relation between linear momentum and kinetic energy
Could someone tell me whether this statement is true or false. This question appeared in a practise test and I think that the answer to it is incorrect.
Statement 1: If linear momentum of a system of particles is zero, then the kinetic energy of the system will also be zero.
Statement 2: Linear momentum of a particle is related with kinetic energy as K= P^2/2m
a) S-1 is True, S-2 is True; S-2 is a correct explanation for S-1
b) S-1 is True, S-2 is True; S-2 is a not correct explanation for S-1
c) S-1 is True, S-2 is False
d) S-1 is False, S-2 is True
I think the correct answer should be either a or b because I think that both the statements are at least correct, but the answer given is D, but it doesn't specify any reason.
It would be great if someone could help me out!