A 1500 kg car moving at 12 m/s collides head-on with a 600 kg car moving at 10 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 5 kg rifle, free to move, fires a 15 g bullet at 300 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 3.5 kg glider moving at 12 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′1 of the first glider after the collision (positive in its original direction).
A 3 kg glider moving at 2 m/s makes a perfectly elastic head-on collision with a 2.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
An 8 g bullet is fired horizontally into a 5 kg block hanging from light strings 1.5 m long, and stays in it. The strings swing out to a largest angle of 10° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 0.15 kg ball hits a wall at 18 m/s and bounces straight back at 20 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.
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