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Physics · LAWS OF MOTION
हिन्दीThe linear momentum \( p \) of a body moving along a straight line varies with time \( t \) according to \( p(t) = (3t^2 + 4t + 2) \text{ kg m s}^{-1} \). The magnitude of force acting on the body at time \( t = 2 \text{ s} \) is:
Correct answer · Option 1
\( 16 \text{ N} \)
Explanation
Force \( F = \frac{dp}{dt} = \frac{d}{dt}(3t^2 + 4t + 2) = 6t + 4 \). At \( t = 2 \text{ s} \), \( F = 6(2) + 4 = 16 \text{ N} \).
