A single conservative force F ( x ) acts on a particle that moves along the x -axis. The graph of the potential energy with x is given. At x = 5 m , the particle has a kinetic energy of 50 J and its p

Question

A single conservative force F ( x ) acts on a particle that moves along the x -axis. The graph of the potential energy with x is given. At x = 5 m , the particle has a kinetic energy of 50 J and its potential energy is related to position ' x ' as U = 15 + ( x − 3 ) 2 Joule, where x is in meter. Then:

TestHub · Accepted Answer

U ( x ) = 15 + ( x − 3 ) 2 J At x = 5 m , K = 50 J U ( 5 ) = 15 + ( 5 − 3 ) 2 = 15 + 4 = 19 J E = K + U = 50 + 19 = 69 J ⇒ ( A ) T r u e , ( B ) F a l se K ( x ) = E − U ( x ) = 69 − [ 15 + ( x − 3 ) 2 ] = 54 − ( x − 3 ) 2 d x d K ​ = − 2 ( x − 3 ) = 0 ⇒ x = 3 K ( 3 ) = 54 ( ma x im u m ) ⇒ ( C ) F a l se K ma x ​ = 54 J ⇒ ( D ) T r u e

Physics - W.E.P. Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion