A 1600 kg car moving at 12 m/s collides head-on with a 2000 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 1100 kg car moving at 9 m/s collides head-on with a 600 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 4 kg projectile moving horizontally at 21 m/s explodes into two fragments that move along the same line. The 1 kg fragment continues forwards at 77 m/s. Find the velocity v′2 of the 3 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 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
At a crossing a 1300 kg car travelling east at 11 m/s collides with a 1900 kg car travelling north at 25 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
A 1800 kg car runs into a parked 1800 kg car. The wrecks lock together and skid 19.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.75. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
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