A person weighing 50kg runs up a hill raising himself vertically 10m in 20sec. Calculate the power of the person.
F = M*g = 50 * 9.8 = 490 N.
Power = F * d/t.
245W
To calculate the power of the person, we can use the formula:
Power = Work / Time
First, we need to calculate the work done by the person. The work done is equal to the force exerted multiplied by the distance moved. In this case, the force exerted is equal to the weight of the person, which can be calculated using the formula:
Weight = Mass * Gravity
where Mass is the person's weight (50kg) and Gravity is the acceleration due to gravity (approximately 9.8 m/s^2).
Weight = 50kg * 9.8 m/s^2 = 490 N
Now, to calculate the work done:
Work = Force * Distance
In this case, the distance moved is 10m:
Work = 490 N * 10m = 4900 Joules
Next, we need to calculate the power by dividing the work by the time taken:
Power = Work / Time
The time taken is given as 20 seconds:
Power = 4900 Joules / 20 seconds = 245 Watts
Therefore, the power of the person is 245 Watts.