Q. A particle is moving under the influence of a force given by $F = kx$ where $k$ is a constant and $x$ is the distance moved. The energy (in joules) gained by the particle in moving from $x = 0$ to $x = 3$ is
A) $2.5\ k$
B) $3.5\ k$
C) $4.5\ k$
D) $9\ k$
Explanation
(c) $U = \frac{1}{2}K\left( x_{2}^{2} - x_{1}^{2} \right) \Rightarrow U = \frac{1}{2}K\left( 3^{2} - 0 \right) \Rightarrow U = 4.5\ K$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.