Consider a box which explodes into two pieces while moving with a constant posit

Question

Consider a box which explodes into two pieces while moving with a constant positive velocity along an x axis. If one piece, with mass m1, ends up with positive velocity v with arrow1, then the second piece, with mass m2, could end up with the following. a a positive velocity v with arrow2 (figure (a)) b a negative velocity v with arrow2 (figure (b)) c zero velocity (figure (c)) Rank those three possible results for the second piece according to the corresponding magnitude of v with arrow1, greatest first. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) *** I have tried: b>a>c , a>b>c , a=b>c , a>c>b, a>b=c a=c>b, a=b=c, c>a=b, c>a>b. PLEASE Help me get this.

Explanation / Answer

here,

for a, the magnitude of velocity is minimum as both are travelling in same directiin and the initial momentum is divided between the peices

for b,

the magnitude of the velocity is maximum as theboth travel in opposite direction , therefore momentum is added in the opposite direction

for c,

the momentum is totally given to the block 1

so the order is

B > C > A

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