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

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Homework Help Overview

The problem involves a 2 kg mass sliding down a frictionless ramp of 10 m height and 15 m length, which then collides with a stationary 3 kg mass. The objective is to find the final speed of the combined masses after the collision.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relevance of the ramp's length in the context of energy conservation and momentum. Questions arise regarding the angle of the ramp and its effect on acceleration. Some participants explore the use of energy equations to find the final speed.

Discussion Status

The discussion is active with participants exploring different aspects of the problem. Some guidance has been offered regarding the use of energy equations, and there is acknowledgment of the potential need to consider the angle of the ramp. Multiple interpretations of the problem setup are being examined.

Contextual Notes

There is uncertainty about the necessity of the ramp's length in the calculations, and assumptions about the nature of the collision are being questioned. The original poster's understanding of the problem setup appears to be evolving.

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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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