MHB Proving Perpendicular Motion: 2 Masses Colliding Obliquely

Click For Summary
In the discussion on proving perpendicular motion during the oblique collision of two spheres, the conservation of momentum is applied to establish the relationship between their velocities before impact. The equations derived include 4x + 2y = 4p, where x and y represent the initial velocities of the 2kg and 4kg masses, respectively, and p is the velocity of the 4kg mass after impact. The coefficient of restitution, set at 1/2, is used to relate the velocities before and after the collision through Newton's experimental law. Participants express confusion about how to proceed once the velocities are expressed in terms of unknown variables. The discussion emphasizes the importance of understanding the momentum conservation principle in analyzing the collision dynamics.
markosheehan
Messages
133
Reaction score
0
two smooth spheres of masses 2kg and 4kg collide obliquely . the 2 kg mass is brought to rest. the coefficient of restitution is 1/2
prove before the impact the spheres were moving in perpendicular directions to each other.

using conservation of momentum. 4x+2y=4p+2(0) where x and y are velocities before impact. p is velocity after impact of 4kg

Newtons experimental law p-0/x-y =-1/2

once i get there velocities in terms of the variables i don't know what to do
 
Mathematics news on Phys.org
anyone?
the velocity in the j direction does not change as its along the i axis
 

Similar threads

MHB Proving Perpendicular Motion of Two Colliding Spheres
  • · Replies 1 ·
Replies
1
Views
1K
B Newton's experimental law -- Questions about the collision of two spheres
  • · Replies 30 ·
2
Replies
30
Views
3K
Oblique collision with two spheres one of which is at rest
  • · Replies 2 ·
Replies
2
Views
3K
Impact and collision - having problems
  • · Replies 12 ·
Replies
12
Views
2K
Oblique collision involving two spheres
  • · Replies 8 ·
Replies
8
Views
4K
What is the velocity of the wedge after collision?
  • · Replies 18 ·
Replies
18
Views
2K
MHB Proving P∩Q=R∩S for Curves $P,Q,R,S$
  • · Replies 2 ·
Replies
2
Views
2K
Equation for Periodic Motion of Two Colliding Masses on a Spring
  • · Replies 6 ·
Replies
6
Views
2K
MHB Prove $x>2y$ Given $e^y=\dfrac{x}{1-e^{-x}}$
  • · Replies 7 ·
Replies
7
Views
3K
How to find the deceleration of a mass colliding on a spring?
  • · Replies 5 ·
Replies
5
Views
5K