Final answer:
By applying the kinetic energy formula, it's determined that the mass of the bowling ball with 16 J of kinetic energy traveling at 2.0 m/s is 8 kg.
Step-by-step explanation:
To find the mass of the bowling ball, we can use the formula for kinetic energy, which is KE = 1/2 mv^2, where m is mass, v is velocity, and KE is kinetic energy. Given that the kinetic energy (KE) is 16 J and the velocity (v) is 2.0 m/s, we rearrange the formula to solve for m:
m = 2KE / v^2
Substitute the values:
m = 2 × 16 J / (2.0 m/s)^2
m = 32 kg·m^2/s^2 / 4 m^2/s^2
m = 8 kg
Therefore, the mass of the bowling ball is 8 kg, which corresponds to option c) 8 kg.