What Is the Max Height the 5kg Object Reaches After the Elastic Collision?

Click For Summary
SUMMARY

The discussion focuses on a physics problem involving a 5kg object sliding down a frictionless track and colliding elastically with a 10kg object. The key equations used include the velocity formulas for elastic collisions: v1=(u1(m1-m2)+2m2u2)/(m1+m2) and v2=(u2(m2-m1)+2m1u1)/(m1+m2). The main question is to determine the maximum height the 5kg object reaches after the collision. To solve this, one must first calculate the speed of the 5kg mass just before and after the collision.

PREREQUISITES
  • Understanding of elastic collision principles in physics
  • Familiarity with kinematic equations
  • Knowledge of conservation of energy concepts
  • Ability to perform calculations involving mass and velocity
NEXT STEPS
  • Calculate the speed of the 5kg mass just before the collision using energy conservation.
  • Determine the speed of the 5kg mass immediately after the collision using the elastic collision formulas.
  • Apply the calculated speed to find the maximum height using energy conservation principles.
  • Review the concepts of momentum conservation in elastic collisions.
USEFUL FOR

Students studying physics, particularly those tackling problems related to mechanics, elastic collisions, and energy conservation principles.

scassioti
Messages
1
Reaction score
0

Homework Statement



An object (m1 = 5kg) starting from a height of 5 meters, slides down a frictionless track as shown (first object starts in a vertical position, slides down a curved track, and collides with object 2 in a horizontal position) and collides with a second object (m2 = 10kg). Assume the track is frictionless and the collision is perfectly elastic. When the first object recoils from the collision, what is the max height to which it will slide back up the ramp?


Homework Equations



v=d/t

v1=(u1(m1-m2)+2m2u2)/(m1+m2)

v2=(u2(m2-m1)+2m1u1)/(m1+m2)

The Attempt at a Solution



I really don't know how to attempt a solution, i am currently taking physics 1, but my professor gave a physics 2 problem to the students as an 'assessment'. I want to understand this, but am not really sure how to begin.
 
Physics news on Phys.org
Welcome to PF!

Hi scassioti! Welcome to PF! :smile:

i] what is the speed of the 5kg mass just before it hits the 10kg mass?

ii] then what is its speed just after? :wink:
 

Similar threads

Elastic Collision and Momentum of Ice Skaters
  • · Replies 16 ·
Replies
16
Views
4K
Physics Help with elastic collision
  • · Replies 5 ·
Replies
5
Views
2K
Find the height the block rises to after an elastic collision
  • · Replies 7 ·
Replies
7
Views
5K
Finding two objects velocity after an elastic collision
  • · Replies 10 ·
Replies
10
Views
4K
Elastic collision with pendulum
  • · Replies 4 ·
Replies
4
Views
5K
How do I solve for an elastic collision going up a ramp?
  • · Replies 10 ·
Replies
10
Views
4K
Elastic Collision in Two Reference Frames
  • · Replies 2 ·
Replies
2
Views
2K
Elastic collision problem, I to find the mistake
  • · Replies 3 ·
Replies
3
Views
2K
What Is the Maximum Height Achieved by Mass M1 After Elastic Collision?
  • · Replies 3 ·
Replies
3
Views
2K
What Are the Steps to Conduct Elastic and Inelastic Collisions Using Photogates?
  • · Replies 8 ·
Replies
8
Views
3K