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Dividing 5î + 10ĵ by 5 gives a) î + 2ĵ...

Dividing 5î + 10ĵ by 5 gives ______
a) î + 2ĵ
b) î + 4ĵ
c) î + ĵ
d) 2î + ĵ,

Text Solution

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The total linear momentum of the baslls before the collision is mv along the X-axis After the colision, momentum of the first ball=0, momentum of the first piece `=mv_1` along the Y-axis and momentum of the second piece `=mv_2` along its direction of motion where `v_2` is the speed of the second piece. These three should add to mv along the X-axis, which is the initial momentum of the system.

Taking components along the X-axis,
`mv_2costheta=mv`...i
and taking components along the Y-axis
`mv_2sintheta=mv_1`..........ii
From i and ii
`v_2=sqrt(v^2+v_1^2) and thantheta=v_1/v`.
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