A force of 100N is applied on an object and the object diceplased to a distance of 8m in 20s then the power of object is
a) 160W
b) 40W
c) 3200W
d) 1000W
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Given :
- Force applied = 100N
- Displacement of object = 8m
- Time taken = 20s
To find :
- Power of object
Formula used :
- W = F.s
- P = W/t
Here,
- W = work done
- F = Force applied
- s = displacement of object
- t = time taken
- P = Power of object
Solution :
Firstly we need to find work done by focre in displacing object.
W = F.s
➝ W = (F)(s)(cosθ)
Note - As we have no information about direction of force that [ is (cosθ) ], we will take value of (cosθ) = 1
➝ W = (F)(s)(1)
➝ W = (100N)(8m)
➝ W = 800 Nm
➝ W = 800 J
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Now by using relationship between work time and power we will find power of object.
➝ P = W/t
➝ P = 800J ÷ 20s
➝ P = 40 J/s
➝ P = 40 Watt
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ANSWER :
Option b) 40 Watt
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