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.
