Question

question 18 of 25
a skydiver has a mass of 140 kg. at what speed will she have a momentum of 10,000 kg·m/s?

a. 28.3 m/s
b. 31.2 m/s
c. 71.4 m/s
d. 55.3 m/s

Explanation:

Step1: Recall momentum formula

The formula for momentum is $p = mv$, where $p$ is momentum, $m$ is mass and $v$ is velocity. We need to solve for $v$.

Step2: Rearrange the formula

Rearranging $p = mv$ for $v$ gives $v=\frac{p}{m}$.

Step3: Substitute values

Given $p = 10000\ kg\cdot m/s$ and $m = 140\ kg$, we substitute into the formula: $v=\frac{10000}{140}\approx71.4\ m/s$.

Answer:

C. 71.4 m/s