An 800 kg car moving at 25 m/s collides head-on with a 700 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).
A 3.5 kg trolley moving at 3.5 m/s runs into a 4.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.
A 4.5 kg glider moving at 3 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′1 of the first glider after the collision (positive in its original direction).
A 1 kg glider moving at 5 m/s makes a perfectly elastic head-on collision with a 3.5 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 0.35 kg ball hits a wall at 20 m/s and bounces straight back at 17 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.
A 12 g bullet is fired horizontally into a 2 kg block hanging from light strings 1.6 m long, and stays in it. The strings swing out to a largest angle of 20° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
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