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A uniform rope of their mass density lam...

A uniform rope of their mass density `lamda` and length `l` is coiled on smooth horizontal surface. One end is pulled up by an external agent wit consant vertical velocity `v`. Choose the correct option(s)

A

Power developed by external agent as a function of `x` is `P=lamdaxgv`

B

Power developed by external agent as a function of `x` is `P=(lamdav^(2)+lamdaxg)v`

C

Energy lost during the complete lift of the rope is zero

D

Energy lost during the complete lift of the rope is `(lamdalv^(2))/2`

Text Solution

Verified by Experts

The correct Answer is:
B, D
`F` applied by external agent `=` Weight `+` thrust force `=lamdaxg+lamdav^(2)`
Energy lost in the complete lift `=W_(F)-DeltaK.E. -DeltaU=(lamda lv^(2))/2`
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