Answer
$F=60.5N$
Work Step by Step
Force is equal to $F=ma$. To find acceleration, use a kinematics equation involving acceleration, initial velocity, final velocity, and distance. This is $$v_f^2=v_o^2+2a\Delta x$$ Solving for $a$ yields $$a=\frac{v_f^2-v_o^2}{2\Delta x}$$ Substituting known values of $v_o=0.0m/s$, $v_f=36m/s$, and $\Delta x=0.75m$ yields an acceleration of $$a=\frac{(36m/s)^2}{2(0.75m)}=860m/s^2$$ Substituting known values of $a=864m/s^2$ and $m=0.070kg$ yields a force of $$F=(0.070kg)(864m/s^2)=60.5N$$
