A bowling ball of mass 2.2kg is rolling along a track at 3.2m/s when it reaches a ramp angled at 55°, The ball rolls up the ramp to the top where the track levels out again, and the ball rolls at 0.3 m/s. How long is the ramp?
mass = 2.2kg
v1 = 3.2 m/s
v2 = 0.3 m/s
angle of the ramp = 55°
Not sure about the friction so I'm going to assume it's frictionless.
Fnet = ma
The Attempt at a Solution
Well from what we know I was able to find the acceleration going down the ramp was -8.2 m/s^2.
I found this out because the only force acting on the ball while the ball was going up the ramp was the force fog ravity and I used the following equation.
Fnet = ma
Fx = ma
-18 = 2.2a
a = -8.2
This is assming there is no friction and choosing up the ramp to be positive.
I know I don't have much done but I'm lost as to what to do now. I was wondering if I could use the equation:
v2^2 = v1^2 + 2ad
I don't know if that would work since that would give us the displacement from the very beginning to the very end and not only the length of the ramp.