How Do You Find the Final Speed After a Collision on a Frictionless Ramp?

AI Thread Summary
To find the final speed after a collision on a frictionless ramp, the key is to apply energy conservation principles. The mass slides down the ramp, converting potential energy (mgh) into kinetic energy (0.5mv^2) to determine its velocity at the bottom. The length of the ramp is not necessary for this calculation, as the height alone is sufficient for energy equations. After the collision with the stationary mass, momentum conservation can be used to find the final speed of both masses combined. The discussion highlights that understanding the ramp's angle is important for calculating acceleration, but in this case, it was not needed for the final answer.
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Homework Statement


Well i have a tiny question here

a 2 kg mass starts at rest and slides down a 10 m high, 15 m long frictionless ramp. At the bottom of the ramp it reaches a flat surface where it hits and sticks to a stationary 3 kg mass . Find the final speed of the masses after collision.


Homework Equations


mgh = .5mv^2


The Attempt at a Solution



i was just wondering does the 15 m really matter, where do i use it. I understand the second momentum part of the question but i don't understand what i am supposed to do with the 15 m. All i did was mgh = .5mv^2 and substituted height and mass to get velocity. Please Help.
 
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Maybe it is not a head on collision in which case the angle is required?
 
When the mass slides down the frictionless ramp, its accelarion is not g but g*sin(theta) where theta is the angle of the ramp to the horizontal. And you can find sin(theta) by using length and height of the ramp.
 
thanks

thanks for the help, actually i just omitted the length and used energy equations, and i got the right answer...go figure..
 
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