A 1500 kg car moving at 16 m/s collides head-on with a 1600 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 0.45 kg ball at rest is kicked. The foot pushes it with an average force of 700 N for 20 ms. Find the speed v of the ball just after the kick.
A 12 g bullet is fired horizontally into a 4 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 18 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 3.5 kg glider moving at 5 m/s makes a perfectly elastic head-on collision with a 3 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
At a crossing a 1000 kg car travelling east at 24 m/s collides with a 1700 kg car travelling north at 25 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
At a crossing a 1400 kg car travelling east at 10 m/s collides with a 2000 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.
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