What mass of butter, which has a usable energy content of 6.0 Cal/g (= 6000 cal/g), would be equivalent to the change in gravitational potential energy of a 73.0 kg man who ascends from sea level to the top of Mt. Everest, at elevation 8.84 km? Assume that the average g for the ascent is 9.80 m/s2.
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Q: What mass of butter, which has a usable energy content of 6.0 Cal/g (= 6000 cal/g), would be…
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- A tank has the shape of an inverted right circular cone with height 9m and radius 18m. It is filled with 5m of hot chocolate. Assume that the density of the hot chocolate is 1450kg/m^3 and g=9.8m/s^2.Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.Work = Joules.A crate of mass 11.0 kg is pulled up a rough incline with an initial speed of 1.48 m/s. The pulling force is 92 N parallel to the incline, which makes an angle of 20.6° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 5.06 m. (a) How much work is done by the gravitational force on the crate? (b) Determine the increase in internal energy of the crate-incline system owing to friction. (c) How much work is done by the 92-N force on the crate? (d) What is the change in kinetic energy of the crate? (e) What is the speed of the crate after being pulled 5.06 m? m/sWhile running, a person dissipates about 0.600 J of chemical energy to mechanical energy per step per kilogram of body mass. If a 75.0 kg runner dissipates energy at a rate of 83.0 W during a race, how fast is the person running? Assume a running step is 1.50 m long.
- A 58-kg diver is standing on a platform that is 35 meters above the surface of the water. He steps off the platform with zero initial velocity and descends toward the water below. Assuming that no energy is lost to his surroundings, how much kinetic energy (in joules) does the diver have right before he hits the water?A leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.5 kg/m. Initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. Find the work done. (Use 9.8 m/s2 for g.)The Kingda Ka is the tallest rollercoaster, standing at an astounding 456 meters! Wow! Suppose you are on the top of Kingda Ka, in a cart that has a mass of 4500 kg. What would your velocity be when you reach the bottom of the hill (assume there is no air friction, and the bottom of the hill is at ground level). Does the total energy vary throughout the drop?
- Assume that the energy content in food can be converted to mechanical energy with 100% efficiency. How many chocolate candy bars (each with 330 kcal) would it take to climb Mount Everest (8850 m)? Assume that the mass of the climber, including equipment, is 127 kg. Round up to the nearest whole number.In the figure, a 2.9 kg block is accelerated from rest by a compressed spring of spring constant 650 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction k = 0.210. The frictional force stops the block in distance D = 7.5 m. What are (a) the increase in the thermal energy of the block-floor system, (b) the maximum kinetic energy of the block, and (c) the original compression distance of the spring? (a) Number (b) Number (c) Number XXX Units Units Units No friction DA 39.0 kg box initially at rest is pushed 5.15 m along a rough, horizontal floor with a constant applied horizontal force of 140 N. If the coefficient of friction between box and floor is 0.300, find the following. (a) the work done by the applied force The correct answer is not zero. J (b) the increase in internal energy in the box-floor system due to friction The correct answer is not zero. J (c) the work done by the normal force (d) the work done by the gravitational force (e) the change in kinetic energy of the box The correct answer is not zero. J (f) the final speed of the box The correct answer is not zero. m/s