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In an American football game, a 89.3 kgfullback running east with a speed of 4.9

ID: 1744105 • Letter: I

Question

In an American football game, a 89.3 kgfullback running east with a speed of 4.99m/s is tackled by a 94.9 kg opponentrunning north with a speed of 2.94 m/s. (a) If the collision is perfectly inelastic,calculate the speed and direction of the players just after thetackle.
(b) Determine the mechanical energy lost as a result of thecollision.
(a) If the collision is perfectly inelastic,calculate the speed and direction of the players just after thetackle.
(b) Determine the mechanical energy lost as a result of thecollision.

Explanation / Answer

m = 89.3 kg, v = 4.99 m/s (east) M = 94.9 kg, V = 2.94 m/s (north) the speed just after the tackle. = u in east direction: mv = (M + m)ux, so ux =mv/(M + m) = 2.42 m/s in north direction: MV = (M + m)uy, so uy =MV/(M + m) = 1.51 m/s u = 2.85 m/s = tan-1(uy/ux) =32.0o (north of east)

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