[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 m
F = ma
[tex]\dfrac{F}{a} = \dfrac{ma}{a}[/tex]
[tex]m = \dfrac{F}{a}[/tex]
[tex]m = \dfrac{\text{10.0 N}}{\text{4.0 m/}\text{s}^{2}}[/tex]
m = 2.5 kg
Solving for F
F = ma
F = (2.5 kg)(3.6 m/s²)
[tex]\boxed{F = \text{9.0 N}}[/tex]
Therefore, the force needed is 9.0 N.
[tex]\\[/tex]
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