In this problem, we are given a graph of potential energy against the position.

Force and potential energy are related by:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{-}}\frac{\mathbf{\u2206}\mathbf{U}}{\mathbf{\u2206}\mathbf{x}}}$

**(a)**

From the graph, the particle has two turning points at 2mm and 8mm.

(a) What is the maximum speed of a 2.0 g particle that oscillates between x =2.0 mm and x =8.0 mm in ?

(b) Estimate the force on the particle at x = 6.0 mm

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Force & Potential Energy concept. You can view video lessons to learn Force & Potential Energy. Or if you need more Force & Potential Energy practice, you can also practice Force & Potential Energy practice problems.

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Based on our data, we think this problem is relevant for Professor Tolich's class at UW-SEATTLE.