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Three identical pucks on a horizontal air table have repelling magnets. They are held together and then released simultaneously. Each has the same speed at any instant. One puck moves due west. What is the direction of the velocity of each of the other two pucks?

Short Answer

Expert verified

One puck moves in a direction 60north of east and other puck moves in a direction60 south of east.

Step by step solution

01

The given data

Given that three identical pucks on a horizontal air table have repelling magnets. They are held together and then released simultaneously. Each has the same speed at any instant. One puck moves due west.

Let west be positive x axis and north be positive y-axis.

Let object A moves west.

Let speed of each puck is v.

02

Find the direction of velocity of each puck

Applying conservation of momentum along x-axis

0=-mv+mvBx+mvCx

This implies v=vBx+vCx

Applying conservation of momentum along y-axis

0=mvBy+mvCy

This implies vBy=-vCy

SincevB=vC and y component has equal magnitude, so x-component must also have equal magnitude.

So vBx=vCx

Thusv=vBx+vCx implies vBx=vCx=v2

The angle that puck B makes with x-axis is given by cos=v/2v=12

Thus =60.

03

Conclusion

Hence, one puck moves in a direction60 north of east and other puck moves in a direction 60south of east.

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