The direction and speed of the acrobats after they grab each other.
Answer to Problem 73P
The final velocity is
Explanation of Solution
The speed of the acrobat with mass
Since finally the two acrobats grab each other, the collision is perfectly elastic and the final velocity of both the acrobats will be same.
Write the law of conservation of linear momentum of the acrobats in x-direction.
Here,
Re-write the above equation to get an expression for
Write the law of conservation of linear momentum of the acrobats in y-direction.
Here,
Re-write the above equation to get an expression for
Write the formula for the magnitude of the final velocity.
Here,
Write the formula for the direction of the final velocity.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
The final velocity is
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