A railroad car with length L and mass m0 when empty is moving freely on a horizontal track while being loaded with sand from a stationary chute at a rate dm/dt =q . Knowing that the car was approaching the chute at a speed v0 , determine (a) the mass of the car and its load after the car has cleared the chute, (b) the speed of the car at that time.

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A: Given data

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Q: Solve the Problem

A: Draw the free-body diagram of the system.

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A: (a) The stopping distance: s = 27.18 m. (b) The inertia or braking force: Fb = 19.1295 kN.

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A: Given Data

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.