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1. A 575 kg meteorite is traveling at 90.0 m/s vertically down when it is 850 km

ID: 1397688 • Letter: 1

Question

1. A 575 kg meteorite is traveling at 90.0 m/s vertically down when it is 850 km above the Earth. It strikes a bed of sand and digs a crater that is 3.25 m deep in the sand. a. How much thermal energy is produced? 2. You are to determine the size of the engine, in kilowatts and horsepower, needed to run the tow rope at a ski hill. You have determined that the hill is 220 m long, has a 23 slope, and that the average coefficient of kinetic friction between the skis and snow is Hk = 0.10. The manager of the hill has told you the average mass of the skiers is 75 kg, the tow rope must be able to pull up to 30 skiers at a time, and it should take 2.0 min for the skiers to reach the top of the hill at a constant speed.

Explanation / Answer

here ,

when the ball strikes the ground , the change in potential energy and kinetic energy will change to the thermal energy

Now, thermal energy produced = change in kinetic energy + change in potential energy

thermal energy produced = 0.5 * m*v^2 +( - G*Me*m/(R+h) + G*M*m/R)

thermal energy produced = 0.5 * 575 * 90^2 + 6.673 *10^-11 * 5.98 *10^24 * 575 *(- 1/(850000 + 6371000) + 1/(6371000))

solving for thermal energy

thermal energy produced = 4241726150.38 J

thermal energy produced = 4.242 *10^9 J

the thermal energy produced in this collision is 4.242 *10^9 J