At any instant, the velocity of a particle of mass \(500\mathrm{g}\) is \(\left(2t\overset{^}{i}+3{t}^{2}\overset{^}{j}\right){\mathrm{ms}}^{-1}\). If the force acting on the particle at \(t=1\mathrm{s}\) is \((\overset{^}{i}+x\overset{^}{j})N\). Then the value of x will be:

[JEE Main 2023, 8 Apr (Shift 1)]

Question

At any instant, the velocity of a particle of mass \(500\mathrm{g}\) is \(\left(2t\overset{^}{i}+3{t}^{2}\overset{^}{j}\right){\mathrm{ms}}^{-1}\). If the force acting on the particle at \(t=1\mathrm{s}\) is \((\overset{^}{i}+x\overset{^}{j})N\). Then the value of x will be:

[JEE Main 2023, 8 Apr (Shift 1)]

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At any instant, the velocity of a particle of mass \(500\mathrm{g}\) is \(\left(2t\overset{^}{i}+3{t}^{2}\overset{^}{j}\…

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