Solving a Frictionless Bug Problem in a Bowl

[Grogerian]

Homework Statement

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

Homework Equations

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

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.

 

[tiny-tim]

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
…
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.

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.