Q. A particle is placed at the origin and force $F = kx$ is acting on it (where k is positive constant ).if $u(0) = 0.$the graph $u(x)$ versus x will (where u is potential energy function)

A) [image:6_image39.emf]
B) [image:6_image40.emf]
C) [image:6_image41.emf]
D) [image:6_image42.emf]
Explanation

(b) To leave the block, it oscillates in vertical plane. If maximum extension in spring in extreme position of block is $x_{1}$ , then
Work done by weight of the block
=Potential energy stored in spring
$mg\ x = \frac{1}{2}kx^{2}$
$\therefore x = 2\frac{mg}{k}\ 2d\ \ \ \ \ \ \ \ \ \ \ \ \ \ \left( \because d = \frac{mg}{k} \right)\ \ \ $

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.