A particle moves along the positive -axis under the variable force newtons

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A particle moves along the positive xx-axis under the variable force F(x)=x2e−xF(x)=x^{2}e^{-x} newtons, where xx is measured in meters. Determine the total work, in joules, required to move the particle from x=0x=0 to x=∞x=\infty. (a) 4 J4\,\text{J} (b) 2 J2\,\text{J} (c) The work is unbounded (diverges). (d) 1 J1\,\text{J}

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