Question

a 15 kg object has a momentum of 150 kg·m/s north. what is the object’s velocity?
a. 10 m/s
b. 2,250 m/s
c. 0.1 m/s
d. 135 m/s

Explanation:

Step1: Recall the momentum formula

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

Step2: Substitute the given values

We know \( p = 150\space kg\cdot m/s \) and \( m = 15\space kg \). Substituting these into the formula, we get \( v=\frac{150}{15} \).

Step3: Calculate the velocity

Calculating \( \frac{150}{15} \) gives \( v = 10\space m/s \) (the direction north is carried over, but for the magnitude, it's 10 m/s).

Answer:

A. 10 m/s