Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 14 of 26 a skydiver has a mass of 88 kg. at what speed will he…

Question

question 14 of 26
a skydiver has a mass of 88 kg. at what speed will he have a momentum of 4000 kg·m/s?
a. 45.5 m/s
b. 71.3 m/s
c. 64.2 m/s
d. 52.1 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

We can rewrite the formula as $v=\frac{p}{m}$.

Step3: Substitute values

Given $p = 4000\ kg\cdot m/s$ and $m = 88\ kg$, then $v=\frac{4000}{88}\approx45.5\ m/s$.

Answer:

A. 45.5 m/s