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Homework Statement
A ball rolls down a frictionless ramp that has an inclination angle of 25 degrees to the horizontal. The ball then slides across a horizontal frictionless floor that is 20 m to the next ramp. The next ramp has a coefficient of friction of 0.10 and has an inclination angle of 10 degrees. How far up the second ramp will the ball go?
Homework Equations
- Fnet = m*a
- Fnet = F1 + F2 + F3 etc.
- Fg = m*g (g = 9.8 m/s^2)
- given that there's distance involved, probably a few kinematics equations also
The Attempt at a Solution
okay well first things first, free body diagram. keep in mind this is my interpretation from the question, it wasn't given so tell me if there's anything wrong with it:
since the force of gravity is at an angle, i'll have a rotated coordinate system to accommodate that:
on ramp #1, there's no movement in the y-direction but there is in the x-direction. so fnetx = fgx, or max = mgsin25, cancel out the masses and you have ax = gsin25. okay, i have acceleration, i know vi = 0, and uh, that's pretty much where I'm at.
it asks for the distance up the second incline, I'm guessing i'll need to find the speeds along each "section" and then use vf for the frictionless floor as vi for the second ramp, i can get acceleration in the same way except i'll have to involve friction, but still that's only vi and a again.
how do i do this, guys?