What are the factors that affect self-confidence
Work energy theorem states that the change in kinetic energy of an object is equal to the net-work done on it by the net force.
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Derivation:
Let us assume that the body is at rest and the force acting is \(underset{F}{rightarrow}\). This applied force causes a displacement of the body which is given as \(dunderset{s}{rightarrow}\) in the direction of the force.
Then the small amount of work done is given as
dw=\(underset{F}{rightarrow}\).\(dunderset{s}{rightarrow}\)=Fds
From Newton’s second law of motion, we know
F=ma
Where a is acceleration
Therefore,
dw=Mada=Mdv/dt ds
The work done by the force in order to increase the velocity from intial velocity u to final velocity v is given as
\(W=int_{u}^{v}Mvdv=Mint_{u}^{v}vdv\)=\(Mleft | frac{v^{2}}{2} right |_{u}^{v}\)
W=1/2 Mv2 – 1/2Mu2
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Hence, work done on the body when the force is applied is equal to the change in its kinetic energy.