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An object of mass 150 kg accelerates from a velocity of 5m/s to a velocity of 10m/s in the same direction. What is the impulse provided to cause this acceleration?

Respuesta :

sakutojefa

Answer:

If it accelerated from 5 to 10 in one second then we know that acceleration is final (velocity-initial velocity)/

time

this gives (10-5)/1

=5m/s^2

force = mass x acceleration so = 150 x 5

this gives us a force of 750N

impulse is force x time so = 750 x 1

this tells us the impulse is 750 N.s

All of this is assuming it accelerated to 10m/s in one second.

The definition of impulse allows to find the impulse response for the acceleration of the body is:

  • The impluse in acceleration direction is:   I = 750 N s

Given parameters

  • Body mass m 150 kg
  • The initial velocity vo = 5 m / s
  • The final velocity vf = 10 m / s

To find

  • Impulse

The impulse is the change of the momentum of a body, it is a vector quantity

    I = ∫ F. dt = Δp

Where the bold indicate vectors, I is the momentum, F the force, t the time, Δp the change in moment

The momentum is defined as the product of the mass of the body and its speed.

     p = m v

We substitute in the expression of impulse  

    I = [tex]m v_f - m v_o[/tex]  

 

Let's calculate.

    I = 150 (10 -5)

    I = 750 N s

In the direction of acceleration.

In conclusion using the definite of impulse we can find the impulse response for the acceleration of the body is:

  • The impluse in acceleration direction is:   I = 750 N s

Learn more here:  brainly.com/question/15652768

 

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