A Boy of mass 50 kg runs up a flight of 120 stairs , each measuring a height of 25 cm , in One minute and 40 seconds . if g= 10m s^-2 , the power of the bot is
Answers
Answer:
- 150 watts is the required answer.
Explanation:
It is given that
- Mass of Boy ,m = 50kg
- Number of stairs he flight up = 120
- Height of each stair = 25
- Time taken ,t = 1min40s = 60+40 = 100s
- Acceleration due to gravity ,g = 10m/s²
Firstly we calculate the displacement covered by boy after climb 120stairs.
→ Displacement = 120×25cm
→ Displacement = 3000cm
→ Displacement = 30m
As we know that work done is calculated by the product of Force and displacement .
Calculating the Force
→ Force = mass × acceleration
→ Force = 50×10
→ Force = 500N
Now, calculating the work done by the boy
→ Work Done = Force × displacement
→ Work done = 500×30
→ Work Done = 15000 J
And , Calculating the Power of the boy
→ Power = Work Done/Time taken
→ Power = 15000/100
→ Power = 150watt
- Hence, the power of the boy is 150 watts.
Given :-
A Boy of mass 50 kg runs up a flight of 120 stairs , each measuring a height of 25 cm , in One minute and 40 seconds . if g= 10m/s²
To Find :-
Power
Solution :-
We know that
1 min = 60 sec
1 min 40 sec = 1(60) + 40 = 60 + 40 = 100 sec
According to the question
F = ma
Where
f = force
m = mass
a = acceleration
f = 50 × 10
f = 500 N
W = fs
Where
w = work done
f = force
s = distance
Now
Total distance covered = 25 × 120
Total distance covered = 3000 cm
Now
1 m = 100 cm
3000 cm = 3000/100 = 30 m
W = 500 × 30
W = 15000 J
Power = Work done by boy/Time
Power = 15000/100
Power = 150/1
Power = 150 Watt