Question

1. a 200 gram ball has a momentum of 400 g x m/s. what is the balls velocity?

Explanation:

Step1: Recall the momentum formula

The formula for momentum \( p \) is \( p = m \times v \), where \( m \) is mass and \( v \) is velocity. We need to solve for \( v \), so we can rearrange the formula to \( v=\frac{p}{m} \).

Step2: Identify the given values

The mass \( m = 200 \) g and the momentum \( p = 400 \) g·m/s.

Step3: Substitute values into the formula

Substitute \( p = 400 \) g·m/s and \( m = 200 \) g into \( v=\frac{p}{m} \). So \( v=\frac{400\ \text{g·m/s}}{200\ \text{g}} \).

Step4: Calculate the velocity

Simplify the fraction: \( \frac{400}{200}=2 \), so the velocity \( v = 2 \) m/s.

Answer:

The velocity of the ball is \( 2 \) m/s.