A 1500 kg car moving at 9 m/s collides head-on with a 1300 kg car moving at 2 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 4 g bullet at 500 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 12 g bullet is fired horizontally into a 1 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 14 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
An 8 g bullet is fired horizontally into a 2 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 23 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 0.5 kg ball hits a wall at 14 m/s and bounces straight back at 20 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.
A 10 g bullet is fired horizontally into a 1 kg block hanging from light strings 1.9 m long, and stays in it. The strings swing out to a largest angle of 15° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
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