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Collisions in TwoD

# Collisions in TwoD - Collisions in Two-Dimensions Suppose a...

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Collisions in Two-Dimensions Suppose a mass m 1 , with initial velocity v 1i , undergoes a collision with a mass m 2 (which is initially at rest). The particles fly of at angles [theta] 1 and [theta] 2 , as shown in Figure 10.4. Since no external forces act on the collision system, linear momentum is conserved (in both x and y direction): and If the collision is elastic, kinetic energy also needs to be conserved: Figure 10.4. A Collision in Two Dimensions. The variables are: mass: m 1 and m 2 velocity: v 1i , v 1f and v 2f angle: [theta] 1 and [theta] 2 If 4 of these variables are defined, the remaining 3 can be calculated by applying conservation of energy and linear momentum. Example Problem 10-3 A beam of nuclei with mass m 1 and velocity v 1 is incident on a target nucleus with mass m 2 which us initially at rest. The velocity and scattering angles of both reaction products is measured. Determine the masses of the reaction products and the change in kinetic energy.

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