In a particular crash test, an automobile of mass 1573 kg collides with a wall and bounces back off the wall. The x components of the initial and final speeds of the automobile are 16 m/s and 2.6 m/s, respectively. If the collision lasts for 0.09 s, find the magnitude of the impulse due to the collision.

Respuesta :

Answer:

[tex]Impulse = 29257.8 kg m/s[/tex]

Explanation:

As we know that impulse due to collision is defined as the change in the linear momentum

So it is given as

[tex]Impulse = \Delta P[/tex]

so we will have

[tex]Impulse = m\vec v_f - m \vec v_i[/tex]

here we know that

[tex]v_f = 2.6 m/s[/tex]

[tex]v_i = -16 m/s[/tex]

mass of the car is given as

[tex]m = 1573 kg[/tex]

now we have

[tex]Impulse = 1573(2.6 + 16)[/tex]

[tex]Impulse = 29257.8 kg m/s[/tex]

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