Answer: 500 Watts
Explanation:
Power can be calculated using the formula:
[tex]P = \dfrac{W}{t}[/tex], where:
- P represents the power
- W represents the work done
- t represents the time taken
Work can be calculated using the formula:
W = mgh, where:
- m represents the mass of an object (the crate is 300 kg)
- g represents the acceleration due to gravity (g = 10 m/s)
- h represents the height at which the object is lifted to (10 m)
Substituting the given values into the formula for work:
W = 300·10·10
W = 30000 Joules (J)
Now, plug in the values of W and t into the formula for power:
P = 30000/60
P = 500
Therefore, the output power of the machine is 500 Watts.
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