(a)
The average distance between Ping-Pong balls at any instant.
(a)
Answer to Problem 85P
Average distance of separation is
Explanation of Solution
Diameter of ball is
It is assumed that the
Write the equation to find the average distance of separation between Ping-Pong balls at any instant.
Here,
Write the equation for
Here,
Write the equation for each ping pong ball.
Here,
Rewrite the above relation in terms of
Rewrite equation (I) by substituting equations (II) and (III).
Conclusion:
Substitute
Therefore, the average distance of separation is
(b)
The average distance travelled by Ping-Pong balls before collision with one another.
(b)
Answer to Problem 85P
Average distance travelled is
Explanation of Solution
Diameter of ball is
It is assumed that the
Write the equation for mean free path.
Here,
Write the relation between
Here,
Rewrite the equation for
Write the average distance travelled by Ping-Pong balls before collision with one another.
Here,
Rewrite the above relation by substituting
Rewrite the above relation by substituting equation (I).
Conclusion:
Substitute
Therefore, the average distance travelled is
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