Question

A certain bowling ball rolls at a constant speed of 5 m/s. If the momentum of the ball is 42.5 kg∙m/s, what is its mass?

A) 8.5 kg
B) 10 kg
C) 12.5 kg
D) 14 kg

Answer 1

Using the momentum formula (momentum = mass × velocity), the mass of the bowling ball with a momentum of 42.5 kg·m/s and speed of 5 m/s is 8.5 kg.

Step-by-step explanation:

To find the mass of a bowling ball that rolls at a constant speed and has a specific momentum, we can use the formula for momentum (p), which is the product of mass (m) and velocity (v): p = m × v. Given a momentum (p) of 42.5 kg·m/s and a velocity (v) of 5 m/s, we can rearrange the equation to solve for mass (m): m = p / v. Substituting the given values into the equation provides the mass: m = 42.5 kg·m/s / 5 m/s = 8.5 kg. Therefore, the correct answer is A) 8.5 kg.