Force & Potential Energy Video Lessons

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Problem: A particle moving along the y-axis has the potential energy U = 4y3 J, where y is in m.A) Graph the potential energy from y = 0 m to y =2 m.B) What is the y-component of the force on the particle at y = 0 m?C) What is the y-component of the force on the particle at y = 1 m?D )What is the y-component of the force on the particle at y = 2 m?

FREE Expert Solution

In this problem, we encounter potential energy and force. Thus, we know that it is a Force-Potential energy problem.

Force and potential are related by:

F=dUdy

Power rule of derivation:

ddt(xn)=nxn-1

A)

We'll calculate values of U for a range of values of y.

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Problem Details

A particle moving along the y-axis has the potential energy U = 4y3 J, where y is in m.

A) Graph the potential energy from y = 0 m to y =2 m.

B) What is the y-component of the force on the particle at y = 0 m?

C) What is the y-component of the force on the particle at y = 1 m?

D )What is the y-component of the force on the particle at y = 2 m?

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