A1000-kilogram car traveling with a velocity of +20. meters per second decelerates uniformly at -5.0 meters per second2 until it comes to rest. what is the magnitude of the impulse applied to the car to bring it to rest?

Explanation:

Mass of car = 1000 kg

Deceleration = 5 m/s²

Decelerating force = Mass x Deceleration

Decelerating force = 1000 x 5 = 5000 N

We need to find time the time taken to stop

We have equation of motion v = u + at

     Initial velocity, u = 20 m/s

     Final velocity, v  = 0 m/s    

     Acceleration, a = -5 m/s²

     Substituting

                      v = u + at  

                      0 = 20 + -5 x t

                      t = 4s

Impulse = Force x Time

Impulse = 5000 x 4 = 20000 Ns

Magnitude of the impulse applied to the car to bring it to rest is 20000 Ns

the force required to move the cart is divided by three or 33.33 n.

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