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

In summary, the problem involves a 2 kg mass sliding down a 10 m high, 15 m long frictionless ramp and colliding with a stationary 3 kg mass at the bottom. The final speed of the masses after the collision can be found using the equation mgh = .5mv^2, but the angle of the ramp may also be necessary to calculate the acceleration. However, omitting the length in the calculations can also lead to the correct answer.
  • #1
physicsperson
20
1

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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  • #2
Maybe it is not a head on collision in which case the angle is required?
 
  • #3
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.
 
  • #4
thanks

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

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

What is a mass and a frictionless ramp?

A mass refers to the amount of matter an object contains, while a frictionless ramp is a hypothetical surface with no friction, allowing objects to move along it without any resistance.

What is the importance of studying a mass and a frictionless ramp?

Studying a mass and a frictionless ramp can help us understand the principles of physics, such as Newton's laws of motion, and how objects behave when subjected to different forces and surfaces.

How does a mass affect the movement of an object on a frictionless ramp?

A mass affects the movement of an object on a frictionless ramp by determining its acceleration. Objects with larger masses require more force to accelerate, while objects with smaller masses accelerate more easily.

What is the difference between a mass on a frictionless ramp and a mass on a rough surface?

The main difference between a mass on a frictionless ramp and a mass on a rough surface is the presence of friction. Friction on a rough surface can slow down or stop the movement of an object, while a frictionless ramp allows the object to maintain its velocity.

Can a mass and a frictionless ramp exist in real life?

A frictionless ramp is a theoretical concept that cannot exist in real life. In reality, all surfaces have some degree of friction. However, scientists use the idea of a frictionless ramp to simplify calculations and understand the basic principles of physics.

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