Answer :
The power required to lift a 10 kg box for 4 meters in 5 seconds is 78.4 watts, calculated from the formula Power = Work / Time, with the work done being 392 Joules.
The power required to lift a box of 10 kg for 4 m in 5 seconds can be calculated using the formula:
Power = Work / Time
To find the work done, we can use the formula:
Work = Force × Distance
In this case, the force is equal to the weight of the box, which can be calculated using the formula:
Force = Mass × Acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2.
Therefore, the force is:
Force = 10 kg × 9.8 m/s^2 = 98 N
Now, we can calculate the work done:
Work = Force × Distance = 98 N × 4 m = 392 J (Joules)
Finally, we can calculate the power:
Power = Work / Time = 392 J / 5 s = 78.4 watts
Therefore, the correct answer is 78.4 watts.
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