Respuesta :

Since we know how and acceleration of 70N is dependent on the force acting on it, we could write it numerically as [tex]acceleration = x * force[/tex]. Now simply plug in the values and solve for x:

[tex]A = x * f --> 6.5 = x * 70[/tex]

---> [tex]\frac{6.5}{70} = \frac{x * 70}{70}[/tex]

----> x (rounded to nearest hundredth) = 0.093

Now that we know th value of x, find the force that causes an acceleration of 8[tex]\frac{m}{s}^2[/tex].

--> [tex]8 = 0.093 * f[/tex]

---> [tex]\frac{8}{0.093} = \frac{0.093 * f}{0.093}[/tex]

----> [tex]86.021 = f[/tex]

So the force that causes an acceleration rate of 8m/s² would be 86.02N.