  # A mine car, whose mass is m1 = 444 kg, rolls at a speed of v1 = 0.494 m/s on a horizontal track, as the drawing below shows. An m2 = 138 kg chunk of coal has a speed of v2 = 0.817 m/s when it leaves the chute. Assume θ = 23.7°. Determine the velocity of the car/coal system after the coal has come to rest in the car.

Question

A mine car, whose mass is m1 = 444 kg, rolls at a speed of v1 = 0.494 m/s on a horizontal track, as the drawing below shows.

An m2 = 138 kg chunk of coal has a speed of v2 = 0.817 m/s when it leaves the chute. Assume θ = 23.7°. Determine the velocity of the car/coal system after the coal has come to rest in the car.

check_circleExpert Solution
Step 1

From the laws of conservation of momentum in the x direction, the equation for the velocity of the car/coal system is,

Step 2

Substituting the...

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