How far does each can slide on the table?

  • Thread starter Thread starter kashiark
  • Start date Start date
  • Tags Tags
    Slide Table
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 2K views
kashiark
Messages
210
Reaction score
0

Homework Statement


In a hardware store, paint cans, which weigh 46N each, are trasnported from storage to the back of the paint department by placing them on a 24 degree ramp. The cans slide down the ramp at a constant speed of 3.4 m/s onto a table made of the same material as the ramp. How far does each can slide on the table?


Homework Equations


mgsin(x) = component of gravity in the same dimension as the incline on which the object sits
KE = mv²/2
ΔKE = Fd


The Attempt at a Solution


46sin(24) ≈ 18.7
-(46/9.8)(3.4)²/2 = -18.7d
d ≈ 1.5
My problem is if the friction force were equivalent to the force of gravity down the incline, the the paint cans would never move.
 
Physics news on Phys.org


The frictional force and the force propelling the cans down the incline must be equal, as the cans are moving at a constantly velocity, so all forces are in equilibrium.

I think we're assuming the cans are originally given some speed to begin with, and aren't placed on the ramp stationary, as the question does say it has a velocity.