force of 15 n causes and displacement of 5 metre in its own direction what is the magnitude of work done and it's SI unit
Answers
AnswEr :
- The magnitude of work done is 75 Joules.
Explanation :
We are given with the force as well as displacement values in its own direction, that is,
- Force, F = 15 N.
- Displacement, s = 5 m.
We have to find out the magnitude of work done.
Given that the force of 15 N causes and displacement of 5 metre in its own direction so the cosθ value will be 0°.
We know that, if we are given with force and displacement values in its own direction, we have the required formula, which says,
→ W.D = Fs cos(θ)
Where we have the values as :
- W.D = unknown.
- F = 15 N.
- s = 5 m.
By using the formula and substituting the given values in the formula, we get :
→ W.D = 15 × 5 × cos(0)
→ W.D = 75 × cos(0)
→ W.D = 75 × 1
→ W.D = 75
Hence, the magnitude of work done is 75 Joules.
Additional information :
Learn about work done :
- Work done is the product of force and displacement.
- Work done is represented as W.D.
- The SI unit of work done is Joules (J).
- The other units of work done is Foot-pound, Erg.
- The derivations from other quantities are W = Fs and W = τθ.
Given :-
Force of 15 n causes and displacement of 5 metre in its own direction
To Find :-
Work done
Solution :-
We know that
W = Fs
Where,
W = Work done
F = Force applied
s = Displacement
By putting the values
W = 15 × 5
W = 75 J
Hence
Work done is 75 Joule
SI unit of work done is Joule(J)