Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 6 of 29 john pushes his brother danny on a skateboard. john ap…

Question

question 6 of 29
john pushes his brother danny on a skateboard. john applies a force of 150 n and dannys acceleration is 1.2 m/s². what is the combined mass of danny and his skateboard?
a. 58 kg
b. 45 kg
c. 125 kg
d. 75 kg

Explanation:

Step1: Recall Newton's second - law

$F = ma$ (where $F$ is force, $m$ is mass, and $a$ is acceleration).

Step2: Solve for mass

We need to find $m$, and we can re - arrange the formula to $m=\frac{F}{a}$. Given $F = 150\ N$ and $a = 1.2\ m/s^{2}$, then $m=\frac{150}{1.2}$.

Step3: Calculate the mass

$m=\frac{150}{1.2}=125\ kg$.

Answer:

C. 125 kg