Answer:
#1. 330 Newtons
#2. 5280 Joules
Explanation:
We are given;
- Power of the machine as 220 watts
- Distance moved by an object = 16 m
- Time taken = 24 seconds
We are required to calculate the work done by the machine.
We know that power is the rate of doing work.
It is given by dividing the work done by time
That is; Power = work done ÷ time
But; Work done = F × distance
Therefore;
Power = (F × d) ÷ t
Thus;
Power × time = F × d
Hence;
Force = (power × time ) ÷ distance
= ( 220 watts × 24 sec) ÷ 16
= 330 Newtons
Thus, the force needed is 330 Newtons
#2 Work done
Since, Power = Work done ÷ time
Then, work done = Power × time
Therefore;
Work done = 220 watts × 24 seconds
= 5280 Joules
Alternatively;
Work done = Distance × Force
Therefore;
Work done = 330 N × 16 m
= 5280 joules
