Force & Potential Energy Video Lessons

Concept

Problem: A small object with mass m = 0.0900 kg moves along the +x-axis. The only force on the object is a conservative force that has the potential-energy function U(x) = -x2 + x3, where = 6.00 J/m2 and J/m3 = 0.300 x. The object is released from rest at small x.When the object is at x = 4.00 m, what is its speed?When the object is at x = 4.00 m, what is the magnitude of its acceleration?When the object is at x = 4.00 m, what is the direction of its acceleration? What is the maximum value of x reached by the object during its motion?

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Problem Details

A small object with mass m = 0.0900 kg moves along the +x-axis. The only force on the object is a conservative force that has the potential-energy function U(x) = -x2 + x3, where = 6.00 J/m2 and J/m3 = 0.300 x. The object is released from rest at small .

When the object is at x = 4.00 m, what is its speed?

When the object is at x = 4.00 m, what is the magnitude of its acceleration?

When the object is at x = 4.00 m, what is the direction of its acceleration?

What is the maximum value of x reached by the object during its motion?