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- A bucket full of sand has a mass of 20 kg (including the bucket and the sand). The bucket is to be lifted to the top of a building 15 meters tall by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.1 kgs of sand each meter it is lifted. Find the work done lifting the bucket to the top of the building. Hint: Force = (mass)(acceleration). For this problem, the force will be a product where a m 9.8 82 JoulesThe total mass of a paratrooper - the person and all the gear - is 118kg. the paratrooper jumps out of an airplane. after the paratrooper opens up his parschute he quickly reaches a constant speed of 3.7m/s. what is the rate at which the potential energy of the paratrooper is converted to the internal energy of the atmosphere?The steam supplied to an engine liberates 5000 J of heat. If the engine efficiency is only 40 percent, to what height a body of mass 10 kg can be lifted using the work output from the engine?
- A typical coal-fired power plant burns 340 metric tons of coal every hour to generate 2.5 × 106 MJ of energy. One metric ton has a mass of 1000 kg and a metric ton of coal has a volume of 1.5 m^3. The heat of combustion is 28 MJ/kg. What is the power plant’s efficiency?The squeaker on a dog’s squeaky toy is broken so that no air can enter or escape. The volume of the squeaky toy is 0.5 liters. The initial pressure inside the squeaky toy is 4.5×105 Pa. The dog can bite down with a pressure of 2.6×106 Pa. Assume the inside of the dog’s mouth is a constant 29◦C. How much work does the dog do on the squeaky toy when it bites down? (This should be a negative number because the force exerted by the dog successfully squishes the squeaky toy, doing positive work, while the gas in the toy pushes back, trying to slow the closing of the dog’s mouth, doing negative work.)The steam supplied to an engine liberates 5000 J of heat. If the engine efficiency is only 40%, to what height a body of mass 10 kg can be lifted using the work output from the engine?