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 joule )gained by the particle in moving from $x = 0\ to\ x = 3\ is$
A) $2\ k$
B) $3.5\ k$
C) $4.5\ k$
D) $9\ k$
Explanation
(c) The energy gained by the particle$\ $
$U = \frac{1}{2}k(x_{2}^{2} - x_{1}^{2})$
$= \frac{1}{2}k\left( 3^{2} - 0^{2} \right) = \frac{9}{2}k4.5k$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.