How do you find momentum immediately before collision?

the momentum is a vector so has direction

m1 V1 + m2 V2 = momentum before
if you arre on a plane with x and y directions
V1 = u1 i + v1 j

V2 = u2 i + v2 j

total momentum in x direction = m 1 u1 + m2 u2
total momentum in y direction = m1 v1 + m2 v2

If nothing else around then after collision the momenta in the x and y directions are the same as before the crash (Newton Law 1).

V1 = velocity before collision.

Momentum before = MV1.

thanks

Now for example is the two objects join then the new mass after collision is (m1+m2)

the momentum has to be the same
so in the x direction
(m1+m2) u = m1 u1 + m2 u2
and in the y direction
(m1+m2) v = m1 v1 + m2 v2
speed = sqrt (u^2+v^2)
angle above x axis = tan^-1 (v/u)

You are welcome .

To find the momentum immediately before a collision, you need two pieces of information: the mass and velocity of each object involved in the collision.

The formula for momentum (p) is: p = m × v

Where:
- p is the momentum
- m is the mass of the object
- v is the velocity of the object

If you have multiple objects, you need to calculate the momentum for each object separately.

1. Start by gathering the mass and velocity values for each object involved in the collision. Make sure the units are consistent (e.g., kilograms for mass and meters per second for velocity).

2. Using the formula p = m × v, calculate the momentum for each object by multiplying the mass by the velocity.

3. If you have two objects colliding, the total momentum immediately before the collision would be the sum of the individual momenta of both objects.

For example, if there are two objects with masses m1 and m2, and velocities v1 and v2, respectively, the total momentum before the collision (p_total) would be: p_total = (m1 × v1) + (m2 × v2)

Remember to include the direction of the momentum. If the object is moving in the opposite direction, you might need to use negative signs to indicate the direction.

By following these steps and using the formula for momentum, you can calculate the momentum immediately before a collision.