Physics, 10.11.2020 14:00 portedon6626

Two protons are on either side of an electron as shown below: Diagram
The electron is 30 µm away from the proton on its left and 10 µm away from the proton on its right. What is the magnitude and direction of the net electric force acting on the electron? Note that
P=1.6×10(-19) c=-e

Select one:
a. 2.0×10−18N to the right
b. 7.0×10−24N to the right
c. 2.0×10−18N to the left
d. −9.59×10−24N to the right
e. 7.0×10−24N to the

Answers: 2

Show answers

Answers

Answer from: callieroberts1699

Choice a. approximately $2 \times 10^{-18}\; \rm N$ to the right.

Explanation:

Look up the Coulomb constant, :

$k \approx 8.987552 \times 10^{9}\; \rm N \cdot m^{2} \cdot C^{-2}$ .

Coulomb's Law may be used to find the magnitude of the electric force between the electron and each proton.

Let q_1 and q_2 denote the magnitude of electric charge on two point charges. Let denote the distance between these two charges.

By Coulomb's Law, the magnitude of the force between these two point charges would be:

$\displaystyle F = \frac{k\, q_1\, q_2}{r^2}$ .

The unit of distance in the Coulomb's constant here $k \approx 8.987552 \times 10^{9}\; \rm N \cdot m^{2} \cdot C^{-2}$ is meters. However, the distance between the electron and each proton is given in micrometers, $\rm \mu m$ . Note that $1\; \rm \mu m = 10^{-6}\; \rm m$ .

Convert these units to meters:

$30 \; \rm \mu m = 30 \times 10^{-6}\; \rm m$ .

$10 \; \rm \mu m = 10 \times 10^{-6}\; \rm m$ .

The question states that the magnitude of electric charge on each proton and each electron is $1.6\times 10^{-19}\; \rm C$ .

Using these information, find the magnitude of the electric force between the electron and each proton:

Between the electron and the proton on the left-hand side of the electron: $\begin{aligned}F &= \frac{k\, q_1\, q_2}{r^2}\\ &\approx \frac{\left(8.987552\times 10^{9}\; \rm N \cdot m^2\cdot C^{-2}\right) \times \left(1.6 \times 10^{-19}\; \rm C\right) \times \left(1.6 \times 10^{-19}\; \rm C\right)}{\left(30 \times 10^{-6}\; \rm m\right)} \\ &\approx 0.26 \times 10^{-18}\; \rm N\end{aligned}$ .Between the electron and the proton on the right-hand side of the electron: $\begin{aligned}F &= \frac{k\, q_1\, q_2}{r^2}\\ &\approx \frac{\left(8.987552\times 10^{9}\; \rm N \cdot m^2\cdot C^{-2}\right) \times \left(1.6 \times 10^{-19}\; \rm C\right) \times \left(1.6 \times 10^{-19}\; \rm C\right)}{\left(10 \times 10^{-6}\; \rm m\right)} \\ &\approx 2.56 \times 10^{-18}\; \rm N\end{aligned}$ .

The two protons in this question will both attract the electron. Therefore, the force between the electron and the proton on the left-hand side of the electron would point to the left. Similarly, the force between the electron the proton on the right-hand side of the electron would point to the right.

The magnitude of the net electric force on the electron would be:

$2.56 \times 10^{-18}\; \rm N - 0.26\times 10^{-18}\;\rm N \approx 2\times 10^{-18}\; \rm N$ .

These two forces act along the same line in opposite direction. Therefore, the resultant force of these two force would be in the direction of the larger force of the two.

In this question, the electric force between the electron and the proton on the right-hand side of the electron is larger. Hence, the net electric force of the protons on the electron should point to the right (towards the proton that is closer to the electron.)

Answer from: Quest

answer would be d.) i hope this

explanation:

Answer from: Quest

energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this

Another question on Physics

Physics, 22.06.2019 03:50

The force acting on a beam was measured under the same operating conditions and a sample of 5 data points was collected. this process was repeated by 3 observers. the pooled standard deviations of these 3 data sets was 1.21. determine the true mean force using all pooled data (with a 95% probability). the result should look like this: true mean = mean +/- margin of error

Answers: 1

Answer

Physics, 22.06.2019 11:30

In order of decreasing light-transmitting capabilities of materials, which is the correct sequence? a. transparent -> translucent -> opaque b. opaque -> transparent -> translucent c. opaque -> translucent -> transparent d. translucent -> transparent -> opaque

Answers: 1

Answer

Physics, 22.06.2019 14:00

An object resting on a table weighs 100 n. with what force is the object pushing on the table? with what force is the table pushing on the object? explain how you got your answer.

Answers: 1

Answer

Physics, 22.06.2019 23:20

Acharge q experiences no net force at a particular point in space. which of the following situations described below must always be true? -there are no other charges nearby. -if there are other charges nearby, they must all have the same sign as q. -if there are other charges nearby, they must all have the opposite sign of q. -if there are other charges nearby, the total positive charge must equal the total negative charge. -none of the above

Answers: 2

Answer

You know the right answer?

Two protons are on either side of an electron as shown below: Diagram
The electron is 30 µm a...

Questions