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A carmaker has designed a car that can reach a maximum acceleration of 24 meters/second. The car's mass is 3,030 kilograms. Assuming the same engine is used, what should the car's mass be if the carmaker wants to reach an acceleration of 30 meters/second?

Respuesta :

ANSWER:

2,424 kilograms

STEP-BY-STEP EXPLANATION:

The first thing we must do is calculate the ratio between the accelerations, like this:

[tex]r=\frac{30}{24}=1.25[/tex]

We know that mass and acceleration are inversely proportional, that is, if one goes up, the other must go down. Since it would be the same force, we can calculate the mass of the car like this:

[tex]\frac{3030}{1.25}=2424\text{ kg}[/tex]

The mass of the car is 2,424 kilograms

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