Question

1. a beach ball is rolling in a straight line toward you at a speed of 9 m/sec. its momentum is 3 kg·m/sec. what is the mass of the beach ball?

Explanation:

Step1: Recall the momentum formula

The formula for momentum \( p \) is \( p = m \times v \), where \( m \) is mass and \( v \) is velocity.

Step2: Rearrange the formula to solve for mass

We need to find \( m \), so rearrange the formula: \( m=\frac{p}{v} \).

Step3: Substitute the given values

Given \( p = 3\space kg\cdot m/sec \) and \( v = 9\space m/sec \), substitute into the formula: \( m=\frac{3}{9} \).

Step4: Simplify the fraction

Simplify \( \frac{3}{9}=\frac{1}{3}\approx0.33\space kg \).

Answer:

The mass of the beach ball is \(\frac{1}{3}\space kg\) (or approximately \(0.33\space kg\)).