A 3.5 kg trolley moving at 8.5 m/s runs into a 4.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 3 m/s. Find the velocity v′2 of the second trolley.
A 600 kg car moving at 20 m/s collides head-on with a 1600 kg car moving at 10 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 4 kg glider moving at 12 m/s makes a perfectly elastic head-on collision with a 1 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 10 g bullet is fired horizontally into a 1.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 24 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
At a crossing a 1700 kg car travelling east at 15 m/s collides with a 1000 kg car travelling north at 11 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
At a crossing a 900 kg car travelling east at 9 m/s collides with a 1800 kg car travelling north at 25 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
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