Object A is moving due east, while object B is moving due north. They collide an

Question

Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 17.0 kg and an initial velocity of = 7.24 m/s, due east. Object B, however, has a mass of mB = 30.0 kg and an initial velocity of = 4.65 m/s, due north. Find the (a) magnitude and (b) direction of the total momentum of the two-object system after the collision.

Explanation / Answer

The velocity of A = 8.72i and the velocity of B = 4.34j By the law of conservation of momentum, initial momenta of both = their final momenta => 16 * (8.72i) + 29 * (4.34j) = P => P = 139.52 i + 125.86 j Magnitude of P = v[(139.52)^2 + (125.86)^2] = 187.9 kg-m/s. Direction of P is arctan (125.86/139.52) north of east = 42° north of east.

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