Two dimensional elastic collision

AI Thread Summary
In the collision between two equal mass asteroids, asteroid A initially moves at 40.0 m/s and is deflected by 30.0 degrees, while asteroid B moves at 45.0 degrees under the x-axis after the collision. To find the final velocities of both asteroids, momentum conservation must be applied in both the x and y directions. The initial momentum of asteroid A must equal the total final momentum of both asteroids. The equations used include the conservation of momentum and the relationship between the initial and final velocities. Solving these equations will yield the final velocities of both asteroids post-collision.
mchaparro
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Homework Statement



Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at 40.0 m/s with respect to an inertial frame in which asteroid B was at rest, is deflected 30.0 degrees from its original direction, while asteroid B travels at 45.0 degrees under the x-axis.

I need to find the final velocities of both asteroids.

Homework Equations


402 = VA2 + VB2

The Attempt at a Solution


40 cos 30 and more like that but it's obviously wrong
 
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You need to conserve momentum in the x and y directions.
 
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