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question 21 of 25 barbara pushes her friend sharon on a skateboard. bar…

Question

question 21 of 25
barbara pushes her friend sharon on a skateboard. barbara applies a force of 225 n and sharons acceleration is 2.3 m/s². what is the combined mass of sharon and her skateboard?

a. 92 kg
b. 113 kg
c. 87 kg
d. 98 kg

Explanation:

Step1: Recall Newton's second law

$F = ma$ (where $F$ is force, $m$ is mass, and $a$ is acceleration). We need to find $m$, so we can rewrite the formula as $m=\frac{F}{a}$.

Step2: Substitute given values

Given $F = 225\ N$ and $a=2.3\ m/s^{2}$, then $m=\frac{225}{2.3}$.

Step3: Calculate the mass

$m=\frac{225}{2.3}\approx97.83\ kg\approx98\ kg$.

Answer:

D. 98 kg