A particle of mass m is moving in the x y -plane such that its velocity at a point (x, y) is given as v=α(y x+2 x y), where α is a non-zero constant. What is the force F acting on the particle?

Laws of Motion: JEE Advanced 2023 Physics question

JEE Advanced 2023 · JEE Adv 2023 Paper 2, Paper 2 · Q20

JEE Advanced 2023JEE Adv 2023 Paper 2, Paper 2PhysicsHardLaws of Motion70× since 2002

A particle of mass

m

is moving in the

x y

-plane such that its velocity at a point

(x, y)

is given as

\overrightarrow{\mathrm{v}}=\alpha(y \hat{x}+2 x \hat{y})

, where

\alpha

is a non-zero constant. What is the force

\vec{F}

acting on the particle?

JEE Advanced 2023 Laws of Motion Question with Answer (JEE Adv 2023 Paper 2 Paper 2, Q20) | JEE Arc