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1. A 1000 kg car going towards East at 30.0 m/s collides head-on with a 2000 kg truck moving towards west at 10.0 m/s. Find the velocities of the vehicles after the collision and the percentage loss of kinetic energy (a) if the collision is perfectly inelastic, (b) if the collision is elastic.

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Solved Problem: You've just been involved in an accident in which the damage is significant but none is hurt. While driving east through an intersection you are broadsided by a large sport utility vehicle travelling north. What speed and direction do the two vehicles move off with just after the collision. Assume that the collision is perfectly inelastic. Question: Determine the velocity of the two just after the collision. Known: m, = 1000 kg, m, = 2000 kg. V = 10 m/s and V = 20 m/s. Principle: Conservation of Momentum in 2D Approach: Determine initial and final momenta and solve for velocity ? I: Printtal = 1v₁, = (m₁ + m₂)v₁,cost = Pzfinal y: Pyinitial = M2V2, = (m₁ + m₂) v2, sine = Pyfinal Let v₁, V2, V, Taking the ratio of the two: (m₁ + m₂)V sino (m₁ + m₂)V cose M202₁ psystem initial Then tane = M₂021 mici, Pystem final 2000 kg x 20m 1000 kg x 10" mivi, = (m₁ + m₂)V cost-V sino cose =tand 40=tan(4) = 75.96° 1000 kg x 10 m/s (1000+2000) kg x cos(75.96) 2000) kg x Show that the two…
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