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A car has a mass of approximately 1500 kg and slows down from 50.0 m/s2 to 20 m/s2 in 6.0 s. What are the acceleration and the force? With solution

Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The acceleration of an object is given by

[tex]\boxed{a = \frac{v_{f} - v_{i}}{t}}[/tex]

where:

a = acceleration

vf = final velocity

vi = initial velocity

t = time

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 m/s} - \text{50 m/s}}{\text{6.0 s}}[/tex]

[tex]\boxed{a = -\text{5 m/}\text{s}^{2}}[/tex]

Solving for F

F = ma

F = (1,500 kg)(-5 m/s²)

[tex]\boxed{F = -\text{7,500 N}}[/tex]

Note: The negative sign of the acceleration and the force indicates that the object is decelerating, meaning, the object is slowing down.

[tex]\\[/tex]

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