Question

What is the mass of a truck if it produces a force of 13,607 N while accelerating at a rate of 2.9 m/s²?

Answer 1

Newton's Second Law.

We have the following data, provided in the exercise:

Mass (m) = ?

Force (F) = 13607 N

Acceleration (a) = 2.9 m/s²

To calculate the mass, we solve the following formula:

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{F=m*a \ \ < ====Formula \ clear==== > \ (F)/(a)=\frac{m*\\ot{a}}{\\ot{a}} } \end{gathered}$}}`
`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{(F)/(a)=m \ \iff \ Address \ is \ changed \Rightarrow \ m=(F)/(a) } \end{gathered}$}}`

We substitute the data in the clear formula.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=(13607 \ N)/(2.9 \ (m)/(s^(2) ) ) } \end{gathered}$} }`

We break down the units of Newton = Kg * m/s².

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=\frac{13607 \ Kg*\\ot{(m)/(s^(2)) } }{2.9 \\ot{(m)/(s^(2)) } } } \end{gathered}$} }`

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=4692.07 \ Kg } \end{gathered}$} }`

The mass of the truck is: 4692.07 Kilograms (Kg).