1.

the ratio of kinetic energy od two bodies is 2:1 and their momentum are in the ratio 1:2.the ratio of their masses is

Answer» LET the masses of two bodies be m and M and the velocities be V and V respectively.
Given,
1/2MV² : 1/2mv² = 2:1. ———>1
MV : mv = 1:2. ———>2
Putting EQUATION 2 in 1,
1/2 × 1 × V² : 1/2 × 2 × v² = 2:1
=>V² : v² = 4:1 ———>3
Putting equation 3 in 1,
1/2 × M × 2 : 1/2 × m × 1 = 2:1
=>M : m = 8 : 1.

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