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+1 vote
28.9k views
in Physics by (31.3k points)

A body of mass M moving at speed V0 collides elastically with a mass 'm' at rest. After the collision, the two masses move at angles θ1 and θ2 with respect to the initial direction of motion of the body of mass M. The largest possible value of the ratio M/m, for which the angles θ1 and θ2 will be equal, is :

(1) 4

(2) 1

(3) 3

(4) 2

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1 Answer

+1 vote
by (35.0k points)

given θ1 = θ2 = θ

from momentum conservation

in x-direction MV0 = MV1 cos θ + mV2 cos θ

in y-direction 0 MV1 sin θ - mV2 sin θ

Solving above equations

From energy conservation

Substituting value of V2 & V0, we will get

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