
Турист массой 50 кг с рюкзаком 10 кг поднялся на холм высотой 120 м за час. Найти среднюю мощность,
которую он развивал.

Ответы на вопрос




Calculation of Average Power
To calculate the average power developed by the tourist, we can use the formula:
Average Power = Work Done / Time Taken
The work done can be calculated by multiplying the force exerted by the distance traveled. In this case, the force exerted is equal to the weight of the tourist and the backpack, and the distance traveled is the height of the hill.
Given: - Mass of the tourist = 50 kg - Mass of the backpack = 10 kg - Height of the hill = 120 m - Time taken = 1 hour
To calculate the force exerted, we need to find the total mass, which is the sum of the tourist's mass and the backpack's mass:
Total Mass = Mass of the tourist + Mass of the backpack
Total Mass = 50 kg + 10 kg = 60 kg
The force exerted can be calculated using the formula:
Force = Mass * Acceleration due to gravity
Force = Total Mass * Acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2.
Force = 60 kg * 9.8 m/s^2 = 588 N
The work done can be calculated using the formula:
Work Done = Force * Distance
Work Done = 588 N * 120 m = 70,560 J
The time taken is given as 1 hour. To calculate the time in seconds, we need to convert it:
Time Taken = 1 hour * 60 minutes/hour * 60 seconds/minute = 3600 seconds
Now we can calculate the average power:
Average Power = Work Done / Time Taken
Average Power = 70,560 J / 3600 s = 19.6 W
Therefore, the average power developed by the tourist is approximately 19.6 Watts.


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