The mass of the car should be A) 1212 kg
Explanation:
We can solve the problem by using Newton's second law of motion, which states that
[tex]F=ma[/tex]
where:
F is the force produced by the engine
m is the mass of the car
a is its acceleration
In the first situation we have
m = 1515 kg
[tex]a=12 m/s^2[/tex] is the acceleration
Solving for F, we find the force produced by the engine:
[tex]F=(1515)(12)=18,180 N[/tex]
Now we want the car to reach an acceleration of
[tex]a'=15 m/s^2[/tex]
Using the same engine, therefore the force produced is still
F = 18,180 N
Re-arranging the equation for m', we find what should be the new mass of the car:
[tex]F=m'a'\\m' = \frac{F}{a'}=\frac{18180}{15}=1212 kg[/tex]
Learn more about Newton's second law:
brainly.com/question/3820012
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