A UNIFORM ROD OF LENGTH L AND MASS M LIES ON A SMOOTH HORIZONTAL TABLE .  A PARTICLE MOVING AT THE SPEED OF v AND MSS m STRIKES THE ROD PERPENDICULARLY AT AN END AND STOPS THERE.SHOW THAT OF THE MASS OF THE ROD IS  4 TIMES OF THAT OF THE PARTICLE OF THE ROD THEN THE COLLISION IS ELASTIC.

MY QUERY IS THAT IS THAT THE LINEAR MOMENTUM AND THE ANGULAR MOMENTUM WILL BE CONSERVED. IS IT SUFFICIENT TO PROVE THAT INITIAL MECHANICAL ENERGY =FINAL ENERGY

PLS REPLY

I don't think condition for elastic collision should depend on mass of bodies..

yes both momenta will be conserved.

note that proving that initial energy = final energy MAY be enough, provided you get enough equations for the number of unknowns.

if u find that equations are lacking, i suggest using the fact that e =1, linear momentum is conserved, and angular momentum is conserved.

ok here is a good theoretical question.

suppose in this same sum, the rod was hinged, and i am saying that collision is elastic. all other conditions are same.

can we say initial energy = final energy?

(think well and reply)

all the best.