A 900 kg car moving at 11 m/s collides head-on with a 1700 kg car moving at 10 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 kg trolley moving at 3 m/s runs into a 1 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.
A 5 kg glider moving at 3 m/s makes a perfectly elastic head-on collision with a 1.5 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 12 kg projectile moving horizontally at 30 m/s explodes into two fragments that move along the same line. The 11 kg fragment continues forwards at 81 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).
At a crossing a 2000 kg car travelling east at 11 m/s collides with a 1700 kg car travelling north at 13 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
An 800 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 0.5. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
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