Work Energy And Power Question 142

Question: A particle is moving in the vertical plane. It is attached at one end of a string of length $ \lambda $ whose other end is fixed. The velocity at the lowest point is $ u $ . The tension in the string is $ \vec{T} $ and velocity of the particle is $ \vec{v} $ at any position. Then, which of the following quantity will remain constant.

Options:

A) $ \vec{T}.\vec{v} $

B) kinetic energy

C) Gravitational potential energy

D) $ \vec{T}\times \vec{v} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] The tension vector $ \overrightarrow{T} $ is always normal to velocity vector.

Hence $ \overrightarrow{T}.\vec{V} $ is always zero.

$ \Rightarrow $ (1) is correct choice.



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