A Ford Mustang weighs about 3500 pounds, and can accelerate from 0-60 MPH in about 5 seconds. What force is responsible for this acceleration? What is its approximate magnitude?

Respuesta :

We will apply the concepts related to Newton's second law. At the same time we will convert everything to the system of international units.

[tex]m = 3500lb = 1587.57kg[/tex]

The values of the velocities are,

[tex]\text{Initial Velocity} = V_i = 0[/tex]

[tex]\text{Final Velocity} = V_f = 60mph = 26.822m/s[/tex]

We know that the acceleration is equivalent to the change of the speed in a certain time therefore

[tex]a = \frac{v_f-v_i}{t}[/tex]

[tex]a = \frac{26.822-0}{5}[/tex]

[tex]a = 5.36m/s^2[/tex]

Now applying the Newton's second law we have,

[tex]F= ma[/tex]

[tex]F = (1587.57)(5.36)[/tex]

[tex]F = 8516.36N[/tex]

Therefore the approximate magnitude is 8516.36N

ACCESS MORE