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Physics Calculations: Finding the Length of a Ramp

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Question: Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway trucks that have lost their brakes. The combination of a slight upward slope and a large coefficient of friction in the gravel brings the truck safely to a halt. Suppose a gravel ramp slopes upward at 6.0 degrees and the coefficient of friction is 0.40. Use work and energy to find the length of a ramp that will stop a 15,000 kg truck that enters the ramp at 35 m/s (approximately 75 mph). Make sure your answer is in meters.

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Solution Summary

This solution provides the formulas and the variables which need to be known in order to solve for this calculation based question. The answer is given in the correct units as well.

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Initial K.E. = (1/2)*m*v^2
Force acting against motion on the incline = m*g*Sin ...

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