A 1000 kg car moving at 21 m/s collides head-on with a 700 kg car moving at 6 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 2000 kg car moving at 24 m/s collides head-on with a 1300 kg car moving at 12 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).
An 8 g bullet is fired horizontally into a 4.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 7 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 10 g bullet is fired horizontally into a 3 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 20 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 0.4 kg ball hits a wall at 25 m/s and bounces straight back at 16 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.
A 0.25 kg ball hits a wall at 21 m/s and bounces straight back at 4 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.
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