Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3.2.2 quiz: momentum question 5 of 10 a 55.0 kg runner who weighs 539.0…

Question

3.2.2 quiz: momentum
question 5 of 10
a 55.0 kg runner who weighs 539.0 n is accelerating at 3.2 m/s². after 2 seconds, she reaches a speed of 6.4 m/s. what is her momentum at this point?
a. 352.0 kg·m/s
b. 8.6 kg·m/s
c. 84.0 kg·m/s
d. 176.0 kg·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.

Step2: Identify mass and velocity values

The mass of the runner $m = 55.0$ kg and the velocity $v=6.4$ m/s.

Step3: Calculate momentum

Substitute the values into the formula: $p=55.0\times6.4 = 352.0$ kg·m/s.

Answer:

A. 352.0 kg·m/s