Tennis balls traveling at greater than 100 mph routinely bounce off tennis racke

Question

Tennis balls traveling at greater than 100 mph routinely bounce off tennis rackets. At some sufficiently high speed, however, the ball will break through the strings and keep going. The racket is a potential-energy barrier whose height is the energy of the slowest string-breaking ball. Suppose that a 100 g tennis ball traveling at 220mph is just sufficient to break the 2.0-mm-thick strings. Estimate the probability that a 150mph ball will tunnel through the racket without breaking the strings

Give your answer as a power of 10 rather than a power of e.

Explanation / Answer

P = e^(-3.22*10^34) = 10^(-1.39*10^34)

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