A 1600 kg car moving at 9 m/s collides head-on with an 800 kg car moving at 14 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 0.15 kg ball at rest is kicked. The foot pushes it with an average force of 200 N for 10 ms. Find the speed v of the ball just after the kick.
A 15 g bullet is fired horizontally into a 2.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 21 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 2.5 kg glider moving at 4 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 1500 kg car runs into a parked 1100 kg car. The wrecks lock together and skid 6 m before stopping. The coefficient of kinetic friction between tyres and road is 0.6. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
A 1700 kg car runs into a parked 1800 kg car. The wrecks lock together and skid 23 m before stopping. The coefficient of kinetic friction between tyres and road is 0.75. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
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