Final answer:
To find the magnitude of the net impulse required to stop the car, we can use the impulse-momentum theorem. The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse applied to it. By calculating the impulse using the given values and the equation Impulse = (mass × initial velocity) / time taken to stop, we can find the magnitude of the net impulse required to stop the car.
Step-by-step explanation:
To find the magnitude of the net impulse required to stop the car, we need to use the impulse-momentum theorem. The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse applied to it.
Momentum is the product of an object's mass and velocity, and impulse is the product of force and time. We can calculate impulse using the equation:
Impulse = force × time
In this case, the force required to stop the car is equal to the change in momentum divided by the time taken to stop. The change in momentum is equal to the initial momentum of the car, which is the product of its mass and velocity, since the car comes to a stop.
So, the magnitude of the net impulse required to stop the car is:
Impulse = (mass × initial velocity) / time taken to stop
Substituting the given values, we get:
Impulse = (1900 kg × 20 m/s) / t
where 't' is the time taken to stop the car.