Question

the chart lists the masses of four balls that have the same momentum. which correctly compares two of the balls? the green ball has a lower velocity than the purple ball. the red ball has a greater velocity than the purple ball. the yellow ball has a higher velocity than the green ball. the red ball has a greater velocity than the green ball.

Explanation:

Step1: Recall momentum formula

Momentum \(p = mv\), where \(m\) is mass and \(v\) is velocity. Given \(p\) is the same for all balls, \(v=\frac{p}{m}\), so velocity is inversely - proportional to mass.

Step2: Analyze mass - velocity relationship for each option

• Option 1: Mass of green ball \(m_{g}=0.5\) kg, mass of purple ball \(m_{p}=1.7\) kg. Since \(m_{g}v_{p}\), so this option is wrong.
• Option 2: Mass of red ball \(m_{r}=1.2\) kg, mass of purple ball \(m_{p}=1.7\) kg. Since \(m_{r}v_{p}\), this option is correct.
• Option 3: Mass of yellow ball \(m_{y}=0.9\) kg, mass of green ball \(m_{g}=0.5\) kg. Since \(m_{y}>m_{g}\), then \(v_{y}
• Option 4: Mass of red ball \(m_{r}=1.2\) kg, mass of green ball \(m_{g}=0.5\) kg. Since \(m_{r}>m_{g}\), then \(v_{r}

Answer:

The red ball has a greater velocity than the purple ball.