a force 10N acts on a block ob mass 10kg at an angle of 60 displaces it 5meter calculate work (cas 60=1/2
Answers
Work done in fruit case =F.S.cosθ
=10×2×cos60
=10J
Work done in second case is same as 10J=FScosθ
⇒F×2×cos30=10
F= 10/√3N
Explanation:
Given :-
A force 10 N acts on a block af mass 10 kg at an angle of 60° displaces it 5 metre. (cos 60° = ½)
To Find :-
What is the work.
Formula Used :-
{\red{\boxed{\large{\bold{Work\: Done\: =\: Fs\: Cos\theta}}}}}
WorkDone=FsCosθ
where,
F = Force
s = Displacement
\thetaθ = Angle between applied force and displacement.
Solution :-
Given :
Force = 10 N
Displacement = 5 m
According to the question by using the formula we get,
⇒ \sf Work\: Done =\: Fs\: Cos\thetaWorkDone=FsCosθ
( As we know that, Cos\theta =\: \dfrac{1}{2}θ=
2
1
)
⇒ \sf Work\: Done =\: {\cancel{10}} \times 5 \times \dfrac{1}{\cancel{2}}WorkDone=
10
×5×
2
1
⇒ \sf Work\: Done =\: 5 \times 5WorkDone=5×5
➠ \sf\bold{\purple{Work\: Done =\: 25\: J}}WorkDone=25J
\therefore∴ The work done is 25 J .