A 1900 kg car moving at 13 m/s collides head-on with a 1400 kg car moving at 4 m/s in the opposite direction. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 4.5 kg rifle, free to move, fires a 12 g bullet at 500 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 5 kg glider moving at 8 m/s makes a perfectly elastic head-on collision with a 4.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 2.5 kg glider moving at 3 m/s makes a perfectly elastic head-on collision with a 1 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 0.25 kg ball hits a wall at 9 m/s and bounces straight back at 18 m/s. The contact lasts 50 ms. Find the magnitude of the impulse J the wall gives the ball.
A 2000 kg car runs into a parked 1400 kg car. The wrecks lock together and skid 25 m before stopping. The coefficient of kinetic friction between tyres and road is 0.7. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
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