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A 7800 N is exerted to accelerate a car from a rest to a velocity of 33 mis
in 5 s What is the mass of the car? *
with formula, solution and SI unit

Sagot :

Tokamakidn

[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{33 m/s} - 0}{\text{5 s}}[/tex]

a = 6.6 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{6.6 m/}\text{s}^{2}}[/tex]

[tex]\boxed{m = \text{1,181.82 kg}}[/tex]

Therefore, the mass of the car is 1,181.82 kg.

[tex]\\[/tex]

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