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 7.4 m/s, strikes the initially stationary blue puck, and moves off in a direction that makes an angle of e 33° with the horizontal axis while the blue puck makes an angle of ? with this axis as in figure (b). Note that for an elastic collision of two equal masses, the separation angle +4-900% Determine the speed of the orange puck after the collision Voi -X bf Before collision After collision

Explanation / Answer

the problem can be solved using momentum conservation

let mass of each puck be m

initial momentum of system = 7.4*m (in X direction)

final momentum of system should also be equal to 7.4*m in X direction

therefore, m*vof*cos33 + m*vbf*cos57=7.4*m

Or, 0.839vof + 0.545vbf = 7.4...(i)

vofsin33-vbf*sin57=0

or, 0.545vof-0.839vbf=0..(ii)

solving (i) and (ii),we get

vof=6.2 m/s

vbf=4.0 m/s

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