Show that a force that does no work must be a velocity dependent force.
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Suppose the force F→F→ does not work for displacement dl→dl→ moving with a velocity v→v→ for time
(ie) dw=F→.dl=0dw=F→.dl=0
or F→.v→dt=0F→.v→dt=0
=> F→.v→=0F→.v→=0
or FVcosθ=0FVcosθ=0
θ=90∘θ=90∘
Hence for no work is done F→F→ must be velocity dependent when the angle between F→F→and v→v→ is 90∘90∘
If v→v→ changes its direction, then F→F→ also should change the direction in such a way the angle is 90∘90∘
that is when the changed particle is moving in a perpendicular uniform magnetic field .
Answer : True
(ie) dw=F→.dl=0dw=F→.dl=0
or F→.v→dt=0F→.v→dt=0
=> F→.v→=0F→.v→=0
or FVcosθ=0FVcosθ=0
θ=90∘θ=90∘
Hence for no work is done F→F→ must be velocity dependent when the angle between F→F→and v→v→ is 90∘90∘
If v→v→ changes its direction, then F→F→ also should change the direction in such a way the angle is 90∘90∘
that is when the changed particle is moving in a perpendicular uniform magnetic field .
Answer : True
vaishnavi885:
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