a 50kg man moved 25 steps up in 20 second. find his power , if each step is 16 cm high
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Answer:
98 W.
Explanation:
Mass of the man = 50kg.
He moved 25 steps of 16cm high each within 20 seconds.
Here,
If one step measures 16cm.
Then, 25 steps would measure = 16*25 = 400cm or 4m
Calculating the force :
Force = m*g
- Taking g(acceleration due to gravity) = 9.8m/s²
- m(mass) = 50kg.
So, the force :
→ 50 × 9.8
→ 490N.
Work done by the man :
→ force * displacement.
Where,
- The force is 490N.
- Total displacement is 4m.
So, the work done by him is
→ 490*4
→ 1960 joules.
We know that,
Power = Work done/Time
Where,
- Work done = 1960
- Time(sec) = 20
So, the power is
→ 1960/20
→ 98 W.
Required answer : 98W
——————————————
Formula used :
- Work done = Force*total displacement.
- Power = Work/time
- Force = m*g
Units :
- Work done = J(joule)
- Power = W(watt)
- Force = N(newton)
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