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A small car and a large SUV are at a stoplight. The car has a mass equal to half that of the SUV, and the SUV can produce a maximum accelerating force equal to twice that of the car. When the light turns green, both drivers push their accelerators to the floor at the same time. Which vehicle pulls ahead of the other vehicle after a few seconds?

Respuesta :

Answer:

Explanation:

Small car has mass m

SUV has mass 2m

Force applied by small car F

Force applied by SUV 2F

Acceleration of small car =  F / m

Acceleration of SUV = 2F / 2m = F / m

both will have same acceleration . So no one will pull ahead  as they start with zero velocity

Eduard22sly

No vehicle will pull ahead of the other vehicle as the acceleration of both cars are the same .

Let the mass of the car be m.

Thus,

The mass of the SUV will be 2m

Let the force produced by the car be F

Thus,

The force produced by the SUV will be 2F

  • Next, we shall determine the acceleration of the car.

Mass of car = m

Force of car = F

acceleration of car =?

[tex]acceleration \: = \frac{force}{mass} \\ \\ acceleration \: of \: car \: = \frac{f}{m} [/tex]

  • Next, we shall determine the acceleration of the SUV.

Mass of SUV = 2m

Force of SUV = 2F

acceleration of SUV =?

[tex]acceleration \: = \frac{force}{mass} \\ \\ acceleration \: of \: suv \: = \frac{2f}{2m} \\ \\ acceleration \: of \: suv \: = \frac{f}{m} \\ \\ [/tex]

  • Comparing the acceleration of the car and that of the SUV, we can see that they are the same. Therefore, we can conclude that no vehicle will pull ahead of the other vehicle

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