91影视

1)$m=1.67脳{10}^{-27}\mathrm{kg}$

2)$v_i=1.4脳{10}^7\mathrm{m}/\mathrm{s}$

3)$d=1脳{10}^{-14}\mathrm{m}$

Newton鈥檚 law states that the product of mass and its acceleration is equal to the net force acting on the object.

Using the kinematic equations, we can find the acceleration of the object, as we know the initial velocity and stopping distance. From Newton鈥檚 law of motion, we can find the force acting on it.

Formula

${\mathbf{F}}_{\mathbf{net}}\mathbf{=}\mathbf{m}\mathbf{脳}\mathbf{a}$

Here,${\mathbf{F}}_{\mathbf{net}}$ is the force, is the mass of the object, and is the acceleration of the object.

Use the kinematic equation to find the acceleration.

$$\begin{gathered} V_f^2=v_i^2+2ad \\ 0={\left(1.4脳{10}^7\mathrm{m}/\mathrm{s}\right)}^2+2\mathrm{a}\left(1脳{10}^{-14}\mathrm{m}\right) \\ \mathrm{a}=-\frac{{\left(1.4脳{10}^7\mathrm{m}/\mathrm{s}\right)}^2}{2\left(1脳{10}^{-14}\mathrm{m}\right)} \\ =-9.8脳{10}^{27}\mathrm{m}/{\mathrm{s}}^2 \end{gathered}$$

Therefore, the acceleration is $-9.8脳{10}^{27}\mathrm{m}/{\mathrm{s}}^2$.

Use the formula from Newtons鈥� second law to calculate the net force,

$$\begin{gathered} F_{net}=ma \\ =1.67脳{10}^{-27}\mathrm{kg}脳\left(9.8脳{10}^{27}\mathrm{m}/{\mathrm{s}}^2\right) \\ =-16.366\mathrm{N} \end{gathered}$$

Therefore, the magnitude of the net force is 16 N.