Answer:
If two objects make a head on collision, they can bounce and move along the same direction they approached from (i.e. only a single dimension). However, if two objects make a glancing collision, they'll move off in two dimensions after the collision (like a glancing collision between two billiard balls).
For a collision where objects will be moving in 2 dimensions (e.g. x and y), the momentum will be conserved in each direction independently (as long as there's no external impulse in that direction).
In other words, the total momentum in the x direction will be the same before and after the collision.
\Large \Sigma p_{xi}=\Sigma p_{xf}Σp
xi
=Σp
xf
\Sigma, p, start subscript, x, i, end subscript, equals, \Sigma, p, start subscript, x, f, end subscript
Also, the total momentum in the y direction will be the same before and after the collision.
\Large \Sigma p_{yi}=\Sigma p_{yf}Σp
yi
=Σp
yf
\Sigma, p, start subscript, y, i, end subscript, equals, \Sigma, p, start subscript, y, f, end subscript
In solving 2 dimensional collision problems, a good approach usually follows a general procedure:
Identify all the bodies in the system. Assign clear symbols to each and draw a simple diagram if necessary.
Write down all the values you know and decide exactly what you need to find out to solve the problem.
Select a coordinate system. If many of the forces and velocities fall along a particular direction, it is advisable to use this direction as your x or y axis to simplify calculation; even if it makes your axes not parallel to the page in your diagram.
Explanation:
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