A 1300 kg car moving at 10 m/s collides head-on with a 1600 kg car moving at 5 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 200 N for 12 ms. Find the speed v of the ball just after the kick.
A 16 kg projectile moving horizontally at 26 m/s explodes into two fragments that move along the same line. The 9 kg fragment continues forwards at 68 m/s. Find the velocity v′2 of the 7 kg fragment (positive in the original direction).
A 3 kg glider moving at 3 m/s makes a perfectly elastic head-on collision with a 4.5 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 0.6 kg ball hits a wall at 14 m/s and bounces straight back at 13 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.
An 8 g bullet is fired horizontally into a 2.5 kg block hanging from light strings 1.5 m long, and stays in it. The strings swing out to a largest angle of 30° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
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