91影视

The given data can be listed below as:

• The mass of the flea is$\mathrm{m}=210\mathrm{渭驳}$ .
• The length of the flea is$\mathrm{l}=2\mathrm{mm}脳\frac{{10}^{-3}\mathrm{m}}{1\mathrm{mm}}=2脳{10}^{-3}\mathrm{m}$ .

The force exerted is directly proportional to the mass and the acceleration of that object. Moreover, it is a vector quantity. The force is responsible for accelerating the body.

According to the graph, the equation of the acceleration can be expressed as:

$$\begin{gathered} \frac{\mathrm{a}}{\mathrm{g}}=62.5 \\ \mathrm{a}=62.5\mathrm{g} \end{gathered}$$

Here, a is the acceleration of the flea and g is the acceleration due to gravity.

The equation of the initial net external force is expressed as:

F = ma

Here, F is the initial net external force, m is the mass and is the acceleration of the flea.

Substitute the values in the above equation.

$$\begin{gathered} \mathrm{F}=\left(210脳{10}^{-9}\mathrm{kg}\right)\left(62.5脳9.8\mathrm{m}/{\mathrm{s}}^2\right) \\ =\left(210脳{10}^{-9}\mathrm{kg}\right)\left(612.5\mathrm{m}/{\mathrm{s}}^2\right) \\ =1.28脳{10}^{-4}\mathrm{kg}.\mathrm{m}/{\mathrm{s}}^2脳\frac{1\mathrm{N}}{1\mathrm{kg}.\mathrm{m}/{\mathrm{s}}^2} \\ =1.28脳{10}^{-4}\mathrm{N} \end{gathered}$$

Thus, the initial net external force on the flea is$1.28脳{10}^{-4}\mathrm{N}$ .

The equation of the flea鈥檚 weight is expressed as:

W = mg

Here, W is the flea鈥檚 weight and g is the acceleration due to gravity.

Substitute the values in the above equation.

$$\begin{gathered} \mathrm{W}=\left(210脳{10}^{-9}\mathrm{kg}\right)\left(9.8\mathrm{m}/{\mathrm{s}}^2\right) \\ =2.06脳{10}^{-6}\mathrm{kg}.\mathrm{m}/{\mathrm{s}}^2脳\frac{1\mathrm{N}}{1\mathrm{kg}.\mathrm{m}/{\mathrm{s}}^2} \\ =2.06脳{10}^{-6}\mathrm{N} \end{gathered}$$

Thus, the initial net external force of the flea is 62.5 times bigger than the flea鈥檚 weight.

According to the graph, the equation of the maximum acceleration can be expressed as:

$$\begin{gathered} \frac{a_{max}}{g}=137.5 \\ {a}_{max}=137.5g \end{gathered}$$

Here, a is the acceleration of the flea and g is the acceleration due to gravity.

The equation of the initial net external force is expressed as:

${\mathrm{F}}_{\max }={\mathrm{ma}}_{\max }$

Here, ${\mathrm{F}}_{\max }$is the initial net external force, m is the mass and $a_{\max }$is the acceleration of the flea.

Substitute the values in the above equation.

$$\begin{gathered} {\mathrm{F}}_{\max }=\left(210脳{10}^{-9}\mathrm{kg}\right)\left(137.5脳9.8\mathrm{m}/{\mathrm{s}}^2\right) \\ =\left(210脳{10}^{-9}\mathrm{kg}\right)\left(1347.5\mathrm{m}/{\mathrm{s}}^2\right) \\ =2.82脳{10}^{-4}\mathrm{kg}.\mathrm{m}/{\mathrm{s}}^2脳\frac{1\mathrm{N}}{1\mathrm{kg}.\mathrm{m}/{\mathrm{s}}^2} \\ =2.82脳{10}^{-4}\mathrm{N} \end{gathered}$$

Thus, the maximum net external force on this jumping flea is$2.82脳{10}^{-4}\mathrm{N}$ .

From the graph, the maximum force occurs at-

$$\begin{gathered} \mathrm{t}=1.125\mathrm{ms}脳\frac{{10}^{-3}\mathrm{s}}{1\mathrm{ms}} \\ =1.125脳{10}^{-3}\mathrm{s} \end{gathered}$$.

Thus, the maximum force occurs at$1.125脳{10}^{-3}\mathrm{s}$ .

The equation of the maximum speed of the flea is expressed as:

${\mathrm{F}}_{\max }=\mathrm{m}\frac{\mathrm{v}}{\mathrm{t}}$

Here, v is the maximum speed.

Substitute the values in the above equation.

$$\begin{gathered} 2.82脳{10}^{-4}\mathrm{kg}.\mathrm{m}/{\mathrm{s}}^2=\left(210脳{10}^{-9}\mathrm{kg}\right)\frac{\mathrm{v}}{1.125脳{10}^{-3}\mathrm{s}} \\ 2.82脳{10}^{-4}\mathrm{kg}.\mathrm{m}/{\mathrm{s}}^2=\left(1.86脳{10}^{-4}\mathrm{kg}/\mathrm{s}\right)\mathrm{v} \\ \mathrm{v}=1.51\mathrm{m}/\mathrm{s} \end{gathered}$$

Thus, the flea鈥檚 maximum speed is 1.51 m/s .