The answer option which would produce the most power is: C. A mass of 10 kilograms lifted 10 meters in 5 seconds
Power can be defined as the capacity to do work.
Mathematically, power is given by the formula;
[tex]Power = \frac{Work \; done}{time} \\\\But, \;Work \; done = mgh\\\\Power = \frac{mgh}{time}[/tex]
Where:
- g is the acceleration due to gravity.
- h is the height of an object.
Note: Acceleration due to gravity is equal to 10 [tex]m/s^2[/tex].
For option A:
[tex]Work\; done = 5(10)(5)[/tex]
Work done = 250 Joules
[tex]Power = \frac{250}{10}[/tex]
Power = 25 Watts.
For option B:
[tex]Work\; done = 5(10)(10)[/tex]
Work done = 500 Joules
[tex]Power = \frac{500}{10}[/tex]
Power = 50 Watts.
For option C:
[tex]Work\; done = 10(10)(10)[/tex]
Work done = 1,00 Joules
[tex]Power = \frac{1000}{5}[/tex]
Power = 200 Watts.
For option D:
[tex]Work\; done = 10(10)(10)[/tex]
Work done = 1,00 Joules
[tex]Power = \frac{1000}{10}[/tex]
Power = 100 Watts.
Therefore, a mass of 10 kilograms lifted 10 meters in 5 seconds would produce the most power.
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