a load of mass120kg is raised vertically through a height of 2m in 30s by a machine whose efficiency is 100%. Calculate the power generated by the machine. ...
Question 1 Report
a load of mass120kg is raised vertically through a height of 2m in 30s by a machine whose efficiency is 100%. Calculate the power generated by the machine. [g = 10ms-2]
Answer Details
Power is the rate at which work is done or energy is transferred. It is expressed in watts (W). In this question, we are asked to calculate the power generated by the machine which raised a load of mass 120kg through a height of 2m in 30s.
The work done by the machine is given by the formula:
work = force x distance
In this case, the force is equal to the weight of the load, which is given by:
force = mass x acceleration due to gravity
force = 120kg x 10m/s² = 1200N
The distance the load was raised is 2m.
So, the work done by the machine is:
work = force x distance = 1200N x 2m = 2400J
The time taken to do the work is 30s.
Therefore, the power generated by the machine is:
power = work / time
power = 2400J / 30s = 80W
So, the correct answer is 80W.
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