Two shuffleboard disks of equal mass, one orange and the other green, are involv

Question

Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at varrowboldoi = 6.95 m/s as in Figure (a) shown below. After the collision, the orange disk moves in a direction that makes an angle of ? = 39.0? with the horizontal axis while the green disk makes an angle of phi = 51.0? with this axis as in figure (b). Determine the speed of each disk after the collision. vof = m/s vgf = m/s

Explanation / Answer

basically we have to apply the equation of conservation of momentum intially momentum of green disk is 0 as v=0 and of orange is m*v= 6.95m in x direction later since the direction of the bodies is changed momentum has to be conserved in vertical and horizontal directions in x m*vg cos51+m*vocos39 = 6.95*m in y m*vg sin51+m*vo sin 39=0 solving for vg and vo the final velocities of orange and green disks we get vg=-21 vo=26

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