Question

potential energy as a function of time

uploaded imageThe figure showsthe force Fx exerted on a particle that moves along the x-axis. Draw a graph of the particle's potential energy as a function of position xfrom x=0m to x=1.1m . Let U be zero at x=0m .

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Answer #1

We know P.E. u is given by

sorry, i forgot the minus sign before the integral. Lets include that in F(x)

where u(0)=0 (given)

where for x<0.5, F(x)=4x and for x>0.5 F(x)=-4x+4

So, for x<=0.5, u=-2x2

for x>=0.5, u=[-2x2]x=0.5+[2x2-4x]xx=0.5=-0.5+2x2-4x-0.5+2

=2x2-4x+2

Now plot u (both eqns are parabolas) The plot will be continuous at x=0.5

answered by: EinstNewtLieb
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