a.) Find the magnitude of the force. c.) Find the work done by this force on a p
ID: 1288351 • Letter: A
Question
a.) Find the magnitude of the force.
c.) Find the work done by this force on a particle that moves once around a circle of radius 5 m centered at the origin.
A force in the xy plane is given by hat{i}+yhat{j} c.) Find the work done by this force on a particle that moves once around a circle of radius 5 m centered at the origin. vec{r}=xvec{F} is perpendicular to sqrt{x^2+y^2}. a.) Find the magnitude of the force. b.)Show that ^{{o}} is a constant and r=frac{F{o}}{r}(yhat{i}-xhat{j}) where Fvec{F}=Explanation / Answer
a) |F| = (Fo/r)*sqrt(y^2+x^2)
= (Fo/sqrt(x^2+y^2)*sqrt(y^2+x^2)
= Fo
b)
F.r = (Fo/r)*(yi - xi).(xi+yj)
F*r*cos(theta) = (Fo/r)*(y*x - x*y)
F*r*cos(theta) = 0
==> theta = 90
so F and r are perpendicular to each other
c) W = 0
because dispalcement is zero.
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