Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg), are each ap

Question

Spheres A (mass 0.020 kg), B (mass 0.030 kg), andC (mass 0.050 kg), are each approaching the origin as they slide on a frictionless air table (Figure 1) . The initial velocities of A and B are 1.50 m/s and0.50 .m/s All three spheres arrive at the origin at the same time and stick together.

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?

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?

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?

Explanation / Answer

Velocity is a vector quantity. To define the velocity of a body, one needs to know both magnitude and direction. As initial direction of the spheres is not mentioned, the answer to this question can only be calculated taking variable values for the directions. That means, there will not be in numbers but in variables

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