A single conservative force acts on a 5.00 kg particle. Theequation F x = (2 x +

Question

A single conservative force acts on a 5.00 kg particle. Theequation Fx = (2x + 4) N describesthis force, where x is in meters. As the particle movesalong the x axis from x = 2.60 m to x = 5.00 m, calculate the following. (a) the work done by this force on theparticle
1. J

(b) the change in the potential energy of the system
2 J

(c) the kinetic energy the particle has at x =5.00 m if its speed is 3.00 m/s atx = 2.60 m
3 J (a) the work done by this force on theparticle
1. J

(b) the change in the potential energy of the system
2 J

(c) the kinetic energy the particle has at x =5.00 m if its speed is 3.00 m/s atx = 2.60 m
3 J

Explanation / Answer

(a)    the workdone will be    W =xixf Fx dx         = .......J (b)    PE = - W (c)    W = Kf - Ki         = (1 / 2) m (3.00 m/ s)2 - (1 / 2) m v2    solve for v and then for KE    solve for v and then for KE

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