OnlineCBT
Physics · WORK, ENERGY AND POWER
हिन्दीA position-dependent force \( F(x) = (6x^2 - 4x + 3)\text{ N} \) acts on a particle of mass \( 2\text{ kg} \) moving along the \( x \)-axis. The work done by this force as the particle moves from \( x = 1\text{ m} \) to \( x = 3\text{ m} \) is:
Correct answer · Option 4
\( 42\text{ J} \)
Explanation
\( W = \int_{1}^{3} (6x^2 - 4x + 3)\,dx = [2x^3 - 2x^2 + 3x]_1^3 = (54 - 18 + 9) - (2 - 2 + 3) = 45 - 3 = 42\text{ J} \).
