A particle experiences a force (for )

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 1 kg1\,\text{kg} particle experiences a force F(x)=−6x2 NF(x)= -\dfrac{6}{x^{2}}\,\text{N} (for x>0x>0), where xx is in metres. Taking the potential energy to be zero at x→∞x \rightarrow \infty, what is the potential energy of the particle at x=3 mx=3\,\text{m}? (a) −0.67 J-0.67\,\text{J} (b) +2 J+2\,\text{J} (c) −2 J-2\,\text{J} (d) −6 J-6\,\text{J}

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