
Лыжник массой 60 кг спустился с горы высотой 10 м. Сколько тепла выделилось в процессе спуска если
скорость лыжника в конце спуска 10 м/с

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Calculation of Heat Generated during the Descent
To calculate the amount of heat generated during the descent of a skier, we can use the principle of conservation of mechanical energy. The potential energy of the skier at the top of the hill is converted into kinetic energy as the skier descends. This conversion of energy results in the generation of heat due to friction between the skier and the surface of the hill.
The potential energy (PE) of the skier at the top of the hill can be calculated using the formula:
PE = mgh
Where: - m is the mass of the skier (60 kg) - g is the acceleration due to gravity (approximately 9.8 m/s^2) - h is the height of the hill (10 m)
Substituting the given values into the formula, we get:
PE = 60 kg * 9.8 m/s^2 * 10 m = 5880 J
The kinetic energy (KE) of the skier at the end of the descent can be calculated using the formula:
KE = (1/2)mv^2
Where: - m is the mass of the skier (60 kg) - v is the velocity of the skier at the end of the descent (10 m/s)
Substituting the given values into the formula, we get:
KE = (1/2) * 60 kg * (10 m/s)^2 = 3000 J
The heat generated during the descent can be calculated by subtracting the final kinetic energy from the initial potential energy:
Heat generated = PE - KE = 5880 J - 3000 J = 2880 J
Therefore, in the process of the descent, approximately 2880 J of heat is generated.


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