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A car at rest accelerates to a speed of 20.0 m/s in 10.0 s. What is the mass of the car if a constant net force of 100.0 N is applied on it

Sagot :

[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{20.0 m/s} - 0}{\text{10.0 s}}[/tex]

a = 2.00 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{100.0 N}}{\text{2.00 m/}\text{s}^{2}}[/tex]

[tex]\boxed{m = \text{50.0 kg}}[/tex]

Therefore, the mass of the car is 50.0 kg.

[tex]\\[/tex]

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