A 700 kg car moving at 24 m/s collides head-on with a 1400 kg car moving at 14 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 1100 kg car moving at 17 m/s collides head-on with a 1800 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 1.5 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′1 of the first glider after the collision (positive in its original direction).
A 7 kg projectile moving horizontally at 20 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 42 m/s. Find the velocity v′2 of the 3 kg fragment (positive in the original direction).
A 1600 kg car runs into a parked 1000 kg car. The wrecks lock together and skid 13 m before stopping. The coefficient of kinetic friction between tyres and road is 0.7. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
A 0.2 kg ball hits a wall at 24 m/s and bounces straight back at 18 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.
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