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Simple Machine Practice Problems 1. Using a ramp of length 2m, I apply a 150N force to move a 20kg object a vertical distance of 1m. i) How much work do I do on the object? +300J ii) How much work does gravity do on the object? -200J iii) What is the efficiency of my machine? 67% iv) How much of my input force is used to counteract friction on the ramp? 50N 2. I’m using a pulley system with an ideal mechanical advantage of 4. i) If I want to raise a 10kg object up at constant velocity, what input force is required? 25N ii) If I want to raise the object 20cm, over what distance should I apply the input force? 80cm iii) If the actual input force required is 30N, what is the mechanical advantage of my system? 3.3 iv) What is its efficiency? 83% 3. Mechanical Advantage and Machine efficiencies are both ratios. However, one of them can never be greater than one while the other one is always greater than one. Explain why. Output work is never greater than input work (you always do extra work to counteract frictional effects), so efficiency is never greater than one In a machine, the output force is usually greater than the input force (otherwise, why would you use the machine?), so MA is usually greater than 1