<p>Name: Date: Period: Energy Ditto Show the four-step method for all calculations - be sure you can explain your answer! 1. How much work is needed to lift an object weighing 200 N to a height of 4 m?</p><p>2. How much power is used in lifting an object weighing 200 N to a height of 4 m in 4 seconds?</p><p>3. What is the power output of an engine that does 60,000 J of work in 10 seconds?</p><p>4. The barrel in the picture weighs 500 N. a. What is the ideal mechanical advantage of the incline plane?</p><p> b. How much force is needed to push it up the incline plane? c. Assume negligible friction. </p><p>5. All the ramps are 5 m high. You know that the Kinetic Energy of the ball at the bottom of the ramp will be equal to the loss of Potential Energy due to the Law of Conservation of Energy. Fine the speed of the ball at ground level in each case. (Hint: Do you recall from earlier units how long it takes something to fall a vertical distance of 5m from a position of rest? And how much speed a falling object acquires in this time? This gives you h answer to Case 1. Think about how energy conservation gives you the answers to Case 2 and 3.)</p><p>6. The Kinetic Energy and Potential Energy of a ball rolling down a ramp are both shown in only one place in the sketch. Fill in the rest of the missing values. What do you notice about the total mechanical energy as the ball falls down the ramp? 7. a. Which ball gets to the bottom of the incline first? b. What do you know about their final speeds?</p><p>8. A big metal bead slides due to gravity along n upright friction-free wire. It starts from rest at the top of the wire as shown in the sketch. How fast is it traveling as it passes: Point B? Point D? Point E? </p><p>At what point does it have the maximum speed? How do you know?</p><p>9. Rows of windmills are used in various windy locations to generate electric power. a. Does the power generated affect the speed of the wind? b. Would these locations be windier without the windmills? Explain your answers. </p><p>10. A 600 N block is lifted by the friction-free pulley system shown. a. How many strands of rope support the 600 N block? b. How much force does each strand therefore have to exert on the block? c. How much force therefore does the man exert on the end of the string that he is holding? d. What is the ideal mechanical advantage of the pulley system? e. If the mass pulls his end down 60 cm, how far will the block rise? f. If the man does 60 J worth of work on the block, what will be the increase of Potential Energy of the block?</p><p>11. Why don’t bouncy balls bounce as high during the second bounce as they do in the first?</p>