Linked Questions

3
votes
3answers
4k views

What are the general solutions to a hard sphere collision? [duplicate]

Surely someone has found the solutions to the hard sphere collisions (in $n$ dimensions) of two bodies of mass $m_1$ and $m_2$, respectively--that is the resultant velocities (or momenta) of the two ...
2
votes
3answers
2k views

Determine resultant velocity of an elastic particle-particle collision in 3d space

So I have two particles that have collided in 3 dimensional space. I want the particles to rebound off of each other in an elastic manner. How do I determine the resultant velocity vector if I know: ...
0
votes
1answer
259 views

Final velocities of a two point-masses in inelastic collision [duplicate]

Two particles of same mass in a 2D frame collide with known initial (i) velocities. I would like to know the final (f) velocities of them after the collision. As in any other collision, momentum is ...
0
votes
0answers
90 views

How can we solve 2D rigid body collision? [duplicate]

I know that usually collision with velocity collinear can be solved by simultaneous equations of both conservation of energy and linear momentum. But my question is when 2D velocity is encountered, we ...
2
votes
4answers
1k views

Off-center impulse equations [closed]

A rigid steel bar with mass $M$ is hit sideways (very close to its end) by a steel ball with mass $m$ and velocity $v$. What are the equations of motion after elastic impact and how about conservation ...
0
votes
3answers
1k views

Technique to Solve 2-Dimensional Linear Momentum Problem

Problem: After a completely inelastic collision, two objects of the same mass and initial speed stick together and move away at half their initial speed. Find the angle between their initial ...
1
vote
4answers
435 views

Collision of elastic spheres : final velocities

I was able to make the sketch of this, but I wanted to find the formulas for the x,y velocity components for each ball after the collision. I let $v_{x1}, v_{y1}$ be the velocities of the first ball ...
1
vote
2answers
758 views

2D Collision Problem: Given 2 masses, a velocity, and an angle, find another angle and a velocity

I was given the mass and velocity of an object, and I know that it is traveling in a straight line along the x-axis (so I suppose I've been given a second angle). It collides with an object with known ...
0
votes
1answer
182 views

How can we derive equations of collision without momentum

I'm wondering how we can predict how velocities following a collision of two masses will change post collision without relying on expectations as to what will happen in a particular type of collision. ...
0
votes
2answers
119 views

Predicting the direction of motion after collision

Suppose two billiard balls of same mass $m$ moving in the same axis $x$ with the same velocity and at some time $t=0$ they collide. No other forces are acting on the two billiard balls. Therefore the ...
-1
votes
1answer
106 views

Elastic collisions

How do I derive the energy transfer in an elastic collision between two bodies of mass $m_1$ and $m_2$ respectively. $E_0$ is the incident energy of the incoming body $m_1$ and $\theta$ is the angle ...
2
votes
3answers
57 views

Force on collision of two disks

In the collision between the red disk (mass $m_1$) and the green disk (mass $m_2$) as shown bellow, why the force that mass 1 makes on mass 2, $\mathbf{F}_{12}$, is along the line connecting the point ...
0
votes
3answers
72 views

How can I calculate the final velocities of two spheres after an elastic collision? [duplicate]

I have two spheres in 3-dimensional space. The mass and initial velocity of each sphere is known. If the spheres collide elastically, how can I calculate their final velocities? The spheres do not ...