Two ice pucks (one orange and one blue) of equal mass are involved in a perfectl

Question

Two ice pucks (one orange and one blue) of equal mass are involved in a perfectly elastic glancing collision as shown in the figure below. The orange puck is initially moving to the right at voi = 4.75 m/s, strikes the initially stationary blue puck, and moves off in a direction that makes an angle of = 36.0° with the horizontal axis while the blue puck makes an angle of = 54.0° with this axis as in figure (b). Note that for an elastic collision of two equal masses, the separation angle + = 90.0°.

Determine the speed of each puck after the collision.

V0f = ?

Vbf = ?

Explanation / Answer

Applying conservation of momentum

=> m * 4.75 =   m * V0f * cos36 + m * Vbf * cos54

=>       4.75   =   0.809V0f + 0.587Vbf

Also,    m * V0f * sin36 = m * Vbf * sin54

=>   0.587V0f = 0.809Vbf

=>    V0f =    3.846 m/sec

=> Vbf   =   2.791 m/sec

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