5. A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano lifted 3 meters in 60 seconds How much power is used?(Power = work/time)
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Answer:
Power is the rate at which work is done. The basic equation is
Power
=
Work
time
Work is the displacement over which a force is applied, and is in the direction of the displacement. The equation for work is
F
×
Δ
d
, where
F
is the force in Newtons, and
Δ
d
is the displacement in meters.
We can substitute the equation for work into the equation for power.
P
=
F
×
Δ
d
t
Since this equation gives you all the variables in your question, we can use it to determine the power used to lift the piano. First identify the known and unknown variables.
Known
F
=
1000 N
Δ
d
=
3 m
t
=
60 s
Unknown
P
Solution
Substitute the known values into the equation and solve.
P
=
F
×
Δ
d
t
P
=
1000
N
×
3
m
60
s
=
50 N
⋅
m/s
=
50 J/s
=
50 Watts
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