Q. 34

A graph of potential energy V (x) verses x is shown in Fig. 6.12. A particle of energy E0 is executing motion in it. Draw graph of velocity and kinetic energy versus x for one complete cycle AFA.

Answer :

i.) Kinetic energy vs x

We know that,

At C, P.E =0,

Till point D there is no change in P.E, the K.E remains constant

At F,

From B to C the potential decreases so the kinetic energy increases we get inverted curve of potential.

From C to D potential remains constant so the kinetic energy will also remain same and thus we get a straight line parallel to x- axis

From D to F the potential energy increases to Eo linearly so the kinetic energy must fall linearly to Eo.

we get the following plot,

ii.) Velocity vs X



From B to C, from above equation, velocity increases parabolically symmetric from x-axis.

From C to D there is no change in P.E energy so the velocity remains constant.

From D to F, the P.E increases linearly and thus the velocity decreases parabolically from equation (2)

Now since we get two values of velocities from equation (2), we will get a mirror image of the graph in the negative side of the fourth quadrant too.

we obtain following the graph,

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Inelastic collisions in 1 DFREE Class
Conservation of Linear Momentum, Visualize the concept (Theory + Interactive Quiz)41 mins
Check Your progress Part 2| Interactive Quiz: Work, Energy & Power44 mins
Work, Energy & Power (Lecture 5)54 mins
Work, Energy & Power (Lecture 6)41 mins
Work, Energy & Power (Lecture 4)50 mins
More About Collisions49 mins
Elastic collisions in 1 D50 mins
Check Your progress Part 1| Interactive Quiz: Work, Energy & Power46 mins
Interactive Quiz on work and energy42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses