JEE Main 2026 · 4 Apr · Shift 1 · Physics Q49

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PhysicsInteger+4 / -1Question 49 of 75

A body of mass 2 kg begins to move under the influence of time dependent force $\vec F=\left(2t\hat i+6t^2\hat j\right)$ N, where $\hat i$ and $\hat j$ are unit vectors along $x$ and $y$ -axis respectively. The power produced by the force at $t=2$ s is ________ W.

Your answer

Answer and worked solution

Official answer: 200

Velocity from rest. $\vec a=(t,3t^2)$ , so $\vec v=\left(\frac{t^2}2,t^3\right)$ . At $t=2$ : $\vec v=(2,8)$ and $\vec F=(4,24)$ .

Power. $P=\vec F\cdot\vec v=8+192=200$ W.

Answer: 200

Topics:Power Newton's laws

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JEE Main 2026 · 4 Apr · Shift 1, Physics question 49