A uniform rope of linear mass density λ and length l is coiled on a smooth horizontal…
Physics · JEE Advanced · NTA Exams — Work, Energy and Power
A uniform rope of linear mass density λ and length l is coiled on a smooth horizontal surface. One end is pulled up with constant velocity v. Then the average power applied by the external agent in pulling the entire rope just off the ground is
\[\Longleftrightarrow\]
\[\Longleftrightarrow\]
- \(\frac{1}{2} \lambda \ell v^{2}+\frac{\lambda \ell^{2} g}{2}\)
- \(\lambda \ell g v\)
- \(\frac{1}{2} \lambda v^{3}+\frac{\lambda \ell v g}{2}\)
- \(\lambda \operatorname{g} v+\frac{1}{2} \lambda v^{3}\)
Answer
(C) 1 2 v^ 3 + v g 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If the speed of a vehicle increases by 2 m/s, its K.E. is doubled. The original speed of the vehicle was
- Assertion: Energy released when a mass of one microgram disappears in a process is 9 × 107 J. Reason: It…
- A uniform flexible chain of mass m and length 2 l hangs in equilibrium over a smooth horizontal pin of…
- A motor drives a body along a straight line with a constant force. The power P developed by the motor must…
- A particle located in a one-dimensional potential field has its potential energy function as U(x) = a x^ 4 …
- The potential energy function associated with the force F =4 x y t +2 x^ 2 j is
- A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging…
- A block of mass m is moving with a constant acceleration ‘a’ on a rough plane. If the coefficient of friction…
More Work, Energy and Power questions · Browse all practice questions