A 2000 kg car moving at 22 m/s collides head-on with an 800 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 500 kg car moving at 14 m/s collides head-on with a 2000 kg car moving at 6 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).
An 18 kg projectile moving horizontally at 36 m/s explodes into two fragments that move along the same line. The 17 kg fragment continues forwards at 71 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).
A 1.5 kg glider moving at 7 m/s makes a perfectly elastic head-on collision with a 1 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 0.1 kg ball hits a wall at 12 m/s and bounces straight back at 10 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.
A 10 g bullet is fired horizontally into a 3 kg block hanging from light strings 1.8 m long, and stays in it. The strings swing out to a largest angle of 10° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
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