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Collision with diagonal surface

Name: Anonymous 2007-12-04 9:32

Ok, I'm having a bit of a problem with this.

A ball is dropping in free fall (not spinning/rotating or anything).
After a given time it collides with a diagonal surface (a total inelastic collision), it then begins to roll down from it.

How do I find the velocity that it begins to roll down the diagonal surface with? Do I just regard the ball's velocity as a vector and find the component that is parallel to the surface?

Name: Anonymous 2007-12-04 18:23

Just before it hits the ramp mgh = .5mv^2

Therefore the velocity when it hits the ramp is v = sqrt(2gh)

Then you just multiply it by sin(theta) to get the component down the ramp.

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