A system in which only one particle can move has t...

Question

A system in which only one particle can move has the potential energy shown in The graph shows potential energy as a function of distance. Distance is measured from 0 to 5 meters. Energy is measured from 0 to U1 joules. Potential energy linearly rises from 0 to U1 at the distance interval from 0 to 1 meter. It linearly drops to 0 joules at the interval from 1 to 5 meters. . Suppose U₁ = 80 J.

(a) What is the y-component of the force on the particle at y = 0.5 m ?

(b) What is the y-component of the force on the particle at y = 4 m?

Patrick Ford · Accepted Answer

We are given the potential energy graph of a particle. The relationship between force and potential energy is:Force:F=-∆U∆y[readmore](a)At the point y = 0.5m, the curve is a straight line. The slope of the curve is:slope = ΔU/Δy = (Ui - 0)/(1 - 0) = Ui/1 = 80/1 = 80NFy = -(slope) = -80NThe y-component of the force on the particle at y = 0.5 m is -80N.(b)At the point y = 4m, the curve is a straight line. The slope of the curve is:slope = ΔU/Δy = (0 - Ui)/(5 - 1) = -Ui/4 = -80/4 = -20NFy = -(slope) = 20NThe y-component of the force on the particle at y = 4 m is 20N.

Problem: A system in which only one particle can move has the potential energy shown in . Suppose U1 = 80 J.(a) What is the y-component of the force on the particle at y = 0.5 m ?(b) What is the y-component of the force on the particle at y = 4 m?

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Problem Details

Problem: A system in which only one particle can move has the potential energy shown in . Suppose U1 = 80 J.(a) What is the y-component of the force on the particle at y = 0.5 m ?(b) What is the y-component of the force on the particle at y = 4 m?

FREE Expert Solution

Problem Details

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