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Answer :
Final answer:
The mass of the car is -2000 kg.
Explanation:
To calculate the mass of the car, we need to use the equation
F = ma, where F is the force, m is the mass, and a is the acceleration.
In this case, the force acting on the car is the braking force of 3000 Newtons, and the acceleration is calculated using the equation
a = Δv/t, where Δv is the change in velocity and t is the time.
Since the car is brought to a stop, the change in velocity is 15 m/s (initial velocity) - 0 m/s (final velocity) = -15 m/s.
Therefore, the acceleration is -15 m/s / 10 s = -1.5 m/s².
Now we can substitute the values into the equation F = ma to find the mass of the car.
Rearranging the equation, we have m = F / a.
Plugging in the values, we get m = 3000 N / -1.5 m/s² = -2000 kg.
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