Problem 39P

A 10 g particle has the potential energy shown in FIGURE.

a. Draw a force-versus-position graph from x = 0 cm to x =8 cm.

b. How much work does the force do as the particle moves from x =2cm to x =6 cm?

c. What speed does the particle need at x =2cm to arrive at x = 6 cm with a speed of 10 m/s?

FIGURE

Solution 39P

Step 1 of 4

(a)

From the given potential energy graph for a particle with mass , we need to draw force versus position graph.

- To derive relation between force and potential energy,

From work energy theorem, we know that work done during the process will be equal to the negative of change in potential energy.

That is,

Using work done as product of force and displacement

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