Final answer:
The mass of a tennis ball with a momentum of 0.25 kg·m/s and a velocity of 3 m/s is calculated by rearranging the momentum formula to m = p / v, which yields a mass of 0.08 kg.
Step-by-step explanation:
To find the mass of a tennis ball when given the momentum and velocity, we use the formula for momentum, which is p = mv, where p is momentum, m is mass, and v is velocity. The question states that the tennis ball has a momentum (p) of 0.25 kg·m/s and is traveling with a velocity (v) of 3 m/s. We can rearrange the formula to solve for mass (m):
m = p / v = 0.25 kg·m/s / 3 m/s = 0.0833 kg
Round this to two decimal places, and we get m = 0.08 kg. Therefore, the correct answer is (a) 0.08 kg.