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A 1000-kilogram car traveling due east at 15 meters per second hit from behind and receives a forward impulse of 6000 newton-seconds. Determine the magnitude of the car's change in momentum due to this impulse.

Respuesta :

skyluke89

The change in momentum of the car is 6000 kg m/s

Explanation:

According to the impulse theorem, the change in momentum of an object is equal to the impulse exerted on the object, therefore:

[tex]\Delta p = I[/tex]

where

[tex]\Delta p[/tex] is the change in momentum

I is the impulse exerted

For the car in this problem, the impulse received is

I = 6000 kg m/s (in the forward direction)

Therefore, the change in momentum of the car is equal to this value:

[tex]\Delta p = I = 6000 kg m/s[/tex] (in the forward direction)

We can also calculate what is the new momentum of the car. In fact, the initial momentum is

[tex]p_i = mu = (1000 kg)(15 m/s)=15,000 kg m/s[/tex]

And  so, the new momentum is

[tex]p_f = p_i + \Delta p = 15,000 + 6,000 = 21,000 kg m/s[/tex]

Learn more about impulse and momentum:

brainly.com/question/9484203

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onyebuchinnaji

The change in the momentum of the car due to the impulse received is 6,000 Kgm/s.

The given parameters:

  • Mass of the car, m = 1000 kg
  • Speed of the car, v = 15 m/s
  • Impulse, J = 6,000 Ns

The change in the momentum of the car due to the impulse received is calculated bas follows;

[tex]J = \Delta P\\\\J = mv_f - mv_o\\\\6,000 = mv_f - mv_0[/tex]

Thus, we can conclude that the impulse received by the car is equal to change in the momentum of the car.

Learn more about impulse and momentum here: https://brainly.com/question/904448

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