An 800 kg car moving at 8 m/s collides head-on with a 500 kg car moving at 9 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 1900 kg car moving at 24 m/s collides head-on with a 1500 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 20 kg projectile moving horizontally at 9 m/s explodes into two fragments that move along the same line. The 6 kg fragment continues forwards at 24 m/s. Find the velocity v′2 of the 14 kg fragment (positive in the original direction).
A 1.5 kg glider moving at 12 m/s makes a perfectly elastic head-on collision with a 2.5 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 0.2 kg ball hits a wall at 27 m/s and bounces straight back at 18 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.
A 5 g bullet is fired horizontally into a 2.5 kg block hanging from light strings 1.9 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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