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A student lifts a 30 kg bag of dog food to a height of 3.0 m above the floor in 5.0 s. Calculate the power output of the student (in watt).

Sagot :

kirigayuuki02
To calculate the power output of the student, we can use the formula:

Power = Work / Time

First, let's calculate the work done by the student:

Work = Force × Distance

The force exerted by the student can be calculated using the formula:

Force = Mass × Gravity

where the mass is 30 kg and the acceleration due to gravity is approximately 9.8 m/s^2.

Force = 30 kg × 9.8 m/s^2

Next, we can calculate the distance by multiplying the height (3.0 m) by the gravitational acceleration.

Distance = 3.0 m

Now, we can calculate the work:

Work = Force × Distance

Finally, we can calculate the power output by dividing the work by the time (5.0 s):

Power = Work / Time

Let's calculate the power:

Force = 30 kg × 9.8 m/s^2 = 294 N
Distance = 3.0 m
Work = Force × Distance = 294 N × 3.0 m = 882 J
Time = 5.0 s
Power = Work / Time = 882 J / 5.0 s = 176 W

Therefore, the power output of the student is 176 watts.
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