Question

In: Physics

You’re playing pool and you line up a shot on the 3 ball. You want the...

You’re playing pool and you line up a shot on the 3 ball. You want the 3 ball to be deflected by an angle of (Theta)3 = 25(Degrees) at a velocity v3 = 1.3 m/s so that it will make it into a side pocket. What initial velocity must you give the cue ball in order to make this shot and what will be the velocity and angle of the cue ball following the collision? Recall that the mass of a cue ball is 0.17 kg, while the mass of a 3 ball is 0.16 kg. Hint: it might be useful to express the mass of the 3 ball as a fraction of the mass of the cue ball.

Expert Solution

Let the speed of the cue ball following the collision be v₁ and angle be

Applying momentum conservation in the x-direction

the initial velocity of ball 3 is zero

.................(1)

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

Applying momentum conservation in the y-direction

..............(3)

Squaring and adding (2) and (3)

............(4)

Applying conservation of kinetic energy

Putting value ofv₁ from (4) we have

initial velocity must you give the cue ball in order to make this shot is 11.85 m/s

the velocity of the cue ball following the collision is 11.77 m/s

the v angle of the cue ball following the collision is26^o

genius_generous answered 2 years ago

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