A 50 kg girl runs up the stairs to a floor 6m higher in 10 s. What is her power output?
P=f.dt
P=(50kg x 10m/s2 x6m)
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10
= 300J/s or 300 watts
Correct.
P=W/t
=(Fscos theta)/t
=Fvcos theta
To calculate her power output, we need to use the formula P = work/time.
First, we need to calculate the work done by the girl:
Work = force x distance
The force can be calculated using the formula weight = mass x gravity:
Weight = 50 kg x 9.8 m/s^2 (acceleration due to gravity)
Weight = 490 N
Now, we can calculate the work:
Work = force x distance
Work = 490 N x 6 m
Work = 2940 J
Finally, we can calculate the power output:
Power = work/time
Power = 2940 J / 10 s
Power = 294 W
Therefore, the girl's power output is 294 watts.
To calculate the power output of the girl, you can use the formula P = F * d * t, where P represents power, F represents force, d represents distance, and t represents time.
In this case, the force is equal to the weight of the girl, which can be calculated as F = m * g, where m is the mass and g is the acceleration due to gravity (approximately 10 m/s^2).
Given that the mass of the girl is 50 kg and the acceleration due to gravity is 10 m/s^2, the force is calculated as F = 50 kg * 10 m/s^2 = 500 N.
The distance traveled by the girl is 6 m, and the time taken is 10 s.
Plugging these values into the power formula, we get P = 500 N * 6 m / 10 s = 300 J/s or 300 watts.
Therefore, the power output of the girl is 300 watts.