A boy of mass 50kg runs up a staircase of 45 steps in 9 second ,if the height of each steps of the staircase is 15cm ,find the power of the boy.g=10m/s√
Answers
Given:-
- Mass of Boy = 50kg
- No. of staircase = 45
- Time taken to reach height = 9s
- Height of each staircase = 15cm
- Acceleration due to gravity = 10m/s²
To Find:-
- The Power of the Boy
Formulae used:-
- Potential Energy = mgh
- Power = Energy/ Time Taken
Where,
- m = Mass
- g = Acceleration due to gravity
- h = Height
Now,
→ Height reached = No. of stairs × Length of each stairs.
→ Height reached = 45 × 15 → 675cm → 6.75m
Therefore,
→ Potential Energy = mgh
→ P. E = 50 × 10 × 6.75
→ P. E = 3375J
Now,
→ Power = Energy/Time Taken
→ Power = 3375/9
→ Power = 375w → 0.375Kw
Hence, The Power of Boy is 0.375Kw.
Answer:
The power is 375 W.
Explanation:
Given,
A boy of mass (m) = 50 kg
No. of steps = n = 45
Time taken (t) = 9 s
Height of each step = 15 cm = 15 / 100 m
To find: find his power
Solution:
Concept involved: Power is the rate of doing work.
Total height of staircase = No. of steps * height of each step
or, Total height of staircase = 45 * 15 / 100 = 6.75 m
Work done would be equal to the Potential Energy possessed by the body.
i.e W = mgh
here, m = 50 kg , g = 10 m/s^2, h = 6.75 m
Substituting the values,
W = 50*10*6.75
And, Power = work done / time
or, P = W / t
or, P = 50*10*6.75 / 9
or, P = 375 W
Therefore, The power is 375 W.