A 2 kg trolley moving at 2.5 m/s runs into a 2.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 1 m/s. Find the velocity v′2 of the second trolley.
A 1000 kg car moving at 9 m/s runs into a stationary 1400 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 3 kg glider moving at 3 m/s makes a perfectly elastic head-on collision with a 4 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 4 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′2 of the second glider after the collision.
A 0.45 kg ball hits a wall at 16 m/s and bounces straight back at 8 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.
A 15 g bullet is fired horizontally into a 1.5 kg block hanging from light strings 2 m long, and stays in it. The strings swing out to a largest angle of 40° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
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