A 1700 kg car moving at 10 m/s collides head-on with an 800 kg car moving at 3 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 2000 kg car moving at 6 m/s collides head-on with a 1100 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 9 kg projectile moving horizontally at 25 m/s explodes into two fragments that move along the same line. The 3 kg fragment continues forwards at 38 m/s. Find the velocity v′2 of the 6 kg fragment (positive in the original direction).
A 2.5 kg glider moving at 10 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 0.45 kg ball hits a wall at 9 m/s and bounces straight back at 11 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.
An 8 g bullet is fired horizontally into a 4 kg block hanging from light strings 1 m long, and stays in it. The strings swing out to a largest angle of 35° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
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