# Work and force

1. Oct 16, 2008

### Grogerian

1. The problem statement, all variables and given/known data
A bug slides back and forth in a bowl 11cm deep, the bowl is frictionless except a 1.5cm patch at the *flat* bottom coefficient of friction = .61

2. Relevant equations
W = f*d
r= 11cm
$$\mu=.61$$
stickypatch=1.5cm

3. The attempt at a solution
i can get the first part (its velocity right when it hits the patch [1.47m/s] afterwards I'm stuck i tried using Work = F*d but i get:
W = -.61(mass)(9.81) * .015m

how am i supposed to solve this without the required mass? i tried finding substitutes to put in for mass or to remove mass, but no luck.

2. Oct 16, 2008

### tiny-tim

Hi Grogerian!

I assume you're using the work-energy theorem …

the mass should appear on both sides, so you can just cancel it at the end.