You are conducting an experiment to find the kinetic coefficienct of friction between a 5kg box and a ramp. The ramp has an angle of 25° above the horizontal. You start the box from rest. release it. and let it slide down the ramp. a) If the box starts at a height of 1 meter above the ground. what is the theo- retical value of its velocity at the bottom of the ramp? b) When you do the experiment, you find that the experimental value of the final velocity is 3.5 m/s. How much mechaical energy was “lost”? c) Assume that all of the mechanical energy 'lost' in part b) was due to Friction. Draw a free-body diagram. and determine the magnitude of the Normal Force acting on the box.

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1. You are conducting an experiment to find the kinetic coefficienct of friction between a 5kg box and a ramp. The ramp has an angle of 25° above the horizontal. You start the box from rest. release it. and let it slide down the ramp. a) If the box starts at a height of 1 meter above the ground. what is the theo- retical value of its velocity at the bottom of the ramp? b) When you do the experiment, you find that the experimental value of the final velocity is 3.5 m/s. How much mechaical energy was “lost”? c) Assume that all of the mechanical energy 'lost' in part b) was due to Friction. Draw a free-body diagram. and determine the magnitude of the Normal Force acting on the box. d) Using the Normal force, determine the co-efficient of friction between the box and the ramp, if the system lost the amount of energy you caculated in part b). Hint: Use the work done by friction.
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