A 1200 kg car moving at 11 m/s collides head-on with a 1100 kg car moving at 13 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 3.5 kg trolley moving at 6.5 m/s runs into a 4.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 1 m/s. Find the velocity v′2 of the second trolley.
A 10 kg projectile moving horizontally at 19 m/s explodes into two fragments that move along the same line. The 3 kg fragment continues forwards at 56 m/s. Find the velocity v′2 of the 7 kg fragment (positive in the original direction).
A 3.5 kg glider moving at 11 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′2 of the second glider after the collision.
A 1100 kg car runs into a parked 1300 kg car. The wrecks lock together and skid 22.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.8. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
A 0.6 kg ball hits a wall at 8 m/s and bounces straight back at 18 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.
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