What power is expended in lifting a 50 kg weight to a height of 20 m in one minute?
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Answer:
Problem:
What power is expended in lifting a 50-kg weight to a height of 20 m in one minute?
Note:
1 minute = 60 seconds
The gravitational acceleration is = 9.8 m/s²
The formula for Power is Power = work ÷ time ( P = W / t ), or it could also be written in ( P = m × a × d / t ).
Given Data:
m ( mass ) = 50 kg
a ( acceleration ) = 9.8 m/s²
d ( distance ) = 20 m
t ( time ) = 60 s
P ( Power ) = ? unknown
Solution:
The formula for Power is Power = work ÷ time ( P = W / t ), or it could also be written in ( P = m × a × d / t ).
P = m × a × d / t
= 50 kg × 9.8 m/s² × 20 m / 60 s
= 9,800 J / 60 s
= 163.33 J/s
= 163.33 Watts
Answer:
- The power expended is equal to 163.33 Watts or 163.33 J/s
Hope its helpful
:)
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