An 800 kg car moving at 15 m/s collides head-on with a 1300 kg car moving at 5 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 2 kg trolley moving at 2 m/s runs into a 5 kg trolley at rest. After the collision the first trolley is at rest. Find the velocity v′2 of the second trolley.
A 4 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 2 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 1.5 kg glider moving at 10 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 10 g bullet is fired horizontally into a 3 kg block hanging from light strings 0.6 m long, and stays in it. The strings swing out to a largest angle of 35° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 1200 kg car runs into a parked 900 kg car. The wrecks lock together and skid 22 m before stopping. The coefficient of kinetic friction between tyres and road is 0.8. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
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