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Ball B, moving in the positive direction of an x axis at

Chapter , Problem 72

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QUESTION:

Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at the origin. A and B have different masses.After the collision, B moves in the negative direction of the y axis at speed v/2. (a) In what direction does A move? (b) Show that the speed of A cannot be determined from the given information.

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QUESTION:

Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at the origin. A and B have different masses.After the collision, B moves in the negative direction of the y axis at speed v/2. (a) In what direction does A move? (b) Show that the speed of A cannot be determined from the given information.

ANSWER:

Q: Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at the origin. A and B have different masses.After the collision, B moves in the negative direction of the y axis at speed v/2. (a) In what direction does A move? (b) Show that the speed of A cannot be determined from the given information.

                                                       Step By Step Solution

Step 1 of 3:

(a)

As the ball B moves towards the origin, it hits ball A. It then moves in a negative y direction. Hence the after collision angle of the ball B is:

Initial velocity of Ball B=

Final velocity of Ball B=...............(1)

Writing the x-axis equations:

Now, substituting equation(1)

..........................(2)

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