A 3.5 kg trolley moving at 7 m/s runs into a 2.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 4 m/s. Find the velocity v′2 of the second trolley.
A 1500 kg car moving at 22 m/s runs into a stationary 1500 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 2 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 1.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 4.5 kg glider moving at 3 m/s makes a perfectly elastic head-on collision with a 2 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 12 g bullet is fired horizontally into a 3 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 0.4 kg ball hits a wall at 15 m/s and bounces straight back at 4 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.
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