[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The force acting on an object is given by
[tex]\boxed{F = ma}[/tex]
where:
F = force
m = mass
a = acceleration
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for a
[tex]a = \dfrac{v_{f} - v_{i}}{t}[/tex]
[tex]a = \dfrac{\text{3 m/s} - 0}{\text{5 s}}[/tex]
a = 0.6 m/s²
Solving for m
F = ma
[tex]\dfrac{F}{a} = \dfrac{ma}{a}[/tex]
[tex]m = \dfrac{F}{a}[/tex]
[tex]m = \dfrac{\text{7,800 N}}{\text{0.6 m/}\text{s}^{2}}[/tex]
[tex]\boxed{m = \text{13,000 kg}}[/tex]
Therefore, the mass of the car is 13,000 kg.
[tex]\\[/tex]
#CarryOnLearning
