X-y components after a collision

In summary, three spheres with masses of 0.020 kg, 0.030 kg, and 0.050 kg are sliding on a frictionless air table towards the origin. Sphere A has an initial velocity of 1.50 m/s and sphere B has an initial velocity of 0.50 m/s. All three spheres arrive at the origin and stick together. To have all three objects end up moving at 0.50 m/s in the +x-direction after the collision, the x-component of the initial velocity of sphere C must be calculated. Similarly, the y-component of the initial velocity of sphere C must also be calculated. Finally, the change in kinetic energy of the system of three spheres can be determined
  • #1
MAPgirl23
65
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Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg), are each approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are 1.50 m/s and 0.50 m/s. All three spheres arrive at the origin at the same time and stick together.

a) What must the x-component of the initial velocity of C be if all three objects are to end up moving at 0.50 m/s in the +x-direction after the collision?

b) What must the y-component of the initial velocity of C be if all three objects are to end up moving at 0.50 m/s in the +x-direction after the collision?

c) If C has the velocity found in parts (A) and (B), what is the change in the kinetic energy of the system of three spheres as a result of the collision?
 
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  • #2
Nice questions; what have you done on your own?
 
  • #3
Perhaps I am not understanding this question correctly enough. Does the problem give the initial directions of the three masses? It would seem like you need them, so the components can add correctly.
 
  • #4
I understand how to do it now
 

1. What are X-y components after a collision?

After a collision, the X-y components refer to the horizontal and vertical velocities or forces that are acting on an object. These components are used to calculate the overall motion of the object after the collision.

2. How are X-y components calculated after a collision?

X-y components are calculated using the principles of conservation of momentum and energy. This involves analyzing the masses, velocities, and angles of the objects before and after the collision to determine the X-y components.

3. Why are X-y components important in analyzing collisions?

X-y components are important because they help us understand the direction and magnitude of forces or velocities involved in a collision. This information is crucial in determining the outcome of the collision and can also be used to make predictions about future collisions.

4. Can X-y components be negative after a collision?

Yes, X-y components can be negative after a collision. This indicates that the object is moving in the opposite direction as the positive axis. Negative components are just as important as positive components in analyzing the overall motion of an object.

5. How do X-y components affect the total momentum after a collision?

X-y components play a crucial role in determining the total momentum after a collision. The total momentum is the vector sum of all the individual X-y components of the objects involved in the collision. This total momentum is conserved before and after the collision, meaning it remains the same unless external forces are present.

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