NEETPhysicsWork, Power and Energy
Given below is the plot of a potential energy function U ( x ) for a system, in which a particle is in one dimensional motion, while a conservative force F ( x ) acts on it. Suppose that E mech = 8 J , the incorrect statement for this system is :
Options
- Aat x > x 4 , K . E . is constant throughout the region.
- Bat x < x 1 , K . E . is smallest and the particle is moving at the slowest speed.
- Cat x = x 2 , K . E . is greatest and the particle is moving at the fastest speed.
- Dat x = x 3 , K . E . = 4 J
Correct answer
B. at x < x 1 , K . E . is smallest and the particle is moving at the slowest speed.
Step-by-step solution
(A) at x > x 4 , U = constant = 6 J K = E mech . - U = 2 J = constant (B) at x < x 1 , U = constant = 8 J K = E mech . - U = 8 - 8 = 0 J Particle is at rest. (C) At x = x 2 , U = 0 ⇒ E mech . = K = 8 J KE is greatest, and particle is moving at fastest speed. (D) At x = x 3 , U = 4 J U + K = 8 J K = 4 J