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sudarshan gupta Grade: Upto college level
        Is work energy theorem valid in non inertial frames?Explain
7 years ago

Answers : (2)

askIITianexpert IITDelhi
8 Points

Yes,work energy theorem is valid in non-inertial frames also.Only we've to take care of the pseudo forces & work done by them(fictitious work though).For example as in dynamics problems Newton's laws are applied after taking appropriate pseudo forces in non-inertial frames so do we apply work energy theorem & count work done by these pseudo forces & their effect on energy.

While applying above theorem in centre of mass frame(non-inertial or accelerated) will not  necessisate even this.

7 years ago
Pratham Ashish
17 Points

yes, we can apply work energy theorm in non inertial frame provided we take into account the work done by the pseudo force also.

Take for simplicity a non inertial frame which has only transational acceleration 'α' .In this frame 2nd law will take the form

m*dv/dt = F - mα ,,, allpying the work energy theorm, we gat

0.5*m*(V2f - V2i ) = int(F.dr) - m *int(α.dr )

Thus in case of a non inertial force kinetic energy not only changes due to work done by material forces but also due to pseudo forces.....

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Askiitians Experts Pratham

 IIT – Delhi

7 years ago
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