A 4.5 kg trolley moving at 4.5 m/s runs into a 3.5 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 600 kg car moving at 10 m/s collides head-on with a 1900 kg car moving at 11 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 5 kg glider moving at 10 m/s makes a perfectly elastic head-on collision with a 4 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 9 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.
At a crossing a 1900 kg car travelling east at 12 m/s collides with a 1000 kg car travelling north at 19 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
A 12 g bullet is fired horizontally into a 1 kg block hanging from light strings 1.1 m long, and stays in it. The strings swing out to a largest angle of 25° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
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