Question

A 60 kg box is lifted by a rope a distance of 10 meters straight up at constant speed. how much power is required to complete this task in 5 seconds?

Answer 1

Power=Work/Time
The work done is the energy required to lift the box, fighting the force of gravity. So, Work=Potential energy of the box at 10 meters.

W=PE=mgh=(60)(9.8)(10)=5880J
Finally,
P=W/T=(5880)/(5)=1176Watt

So the answer is 1176 Watts

Answer 2

Answer: 1,200Watts

Explanation:

Power is defined as the rate of change in work done.

Mathematically, Power = Workdone/Time

Since work done = Force × Distance

Power = Force×Distance/Time

Given mass = 60kg

Since we are given mass, we will convert it to force using;

F= ma = 60×10 = 600N

Distance = 10meters

Time = 5seconds

Substituting the values in the formula for power, we have;

Power = 600×10/5

Power = 6000/5

Power = 1,200Watts

Therefore, 1,200 watts is required to complete the work