Final answer:
The mass of the tennis ball is 0.15 kg or 150 grams according to the information provided, which does not exactly match any of the given multiple-choice answers. The closest answer is (A) 46 g, but it should be noted that professional tennis balls weigh between 56.0 and 59.4 grams.
Step-by-step explanation:
The mass of the tennis ball can be found by using the information provided and applying Newton's second law of motion.
The force on the ball (540 N) and the time it is applied (0.005 seconds) can help us find the change in momentum (Δp = F ⋅ t), as momentum p = mv. Given the final velocity of the tennis ball is 45.0 m/s and the mass m = 0, 15 kg or 150 grams, if this is the information that should be cross-referenced for the correct answer, the multiple-choice answer closest to this value is (A) 46 g, which is incorrect.
However, if the problem is purely referring to the standard weight range for a tennis ball used in professional play, it varies from 56.0 to 59.4 grams according to the International Tennis Federation.
It's important to note that the solution provided above assumes that the given mass of the ball for the question scenario is correct, which could potentially confuse the student if this reference was not intended to be part of the answer.