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3 years ago

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A 8.01 nC charge is located 1.90 m from a 3.86 nC point charge. (a) Find the magnitude of the electrostatic force that one charg

e exerts on the other.

1 answer:

professor190 [17]3 years ago

5 0

Explanation:

Given that,

Charge 1, $q_1=8.01\ nC=8.01\times 10^{-9}\ C$

Charge 2, $q_2=3.86\ nC=3.86\times 10^{-9}\ C$

Distance between charges, d = 1.9 m

We need to find the electrostatic force that one charge exerts on the other. It is given by :

$F=k\dfrac{q_1q_2}{d^2}$

$F=9\times10^9\times\dfrac{8.01\times 10^{-9}\times 3.86\times 10^{-9}}{(1.9)^2}$

$F=7.70\times 10^{-8}\ N$

So, the magnitude of electric force that one charge exerts on the other charge is $7.70\times 10^{-8}\ N$ . Hence, this is the required solution.

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First table:

1. For height, we usually use cm. If it is a must to use the conversion to solve for number 1, we can first convert the ft into m then to cm and then convert the in to cm and then add the values.

$5ft$ x $\frac{0.305m}{1ft} = 1.525m$ x $\frac{100cm}{1m} =152.5cm$

then we convert the remaining 2in into cm and add it up:
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$152.5cm + 5.08cm = 157.58cm$ or $157.6cm$

Another way to do this is to convert the ft to in and add it up to the remaining 2 in then convert to cm. The answer would be more or less the same.

2. For weight, we will convert lbs to kg.

$105lbs$ x $\frac{1kg}{2.2lbs} = \frac{105kg}{2.2} = 47.7kg$

3. For distance we will convert mi to km.

$1.1mi$ x $\frac{1.61km}{1mi} = 1.8km$

4. The unit mph is miles per hour and we will want to convert that into kph or kilometers per hour. You will use the same method that you did above to get it. We do not need to convert hours anymore, so it will stay as is.

$65 \frac{mi}{hr}$ x $\frac{1.61km}{1mi} = 104.7\frac{km}{hr}$

5. Now for the next one it is very straightforward because 1V = 1V no matter where you go. So if the given is 220V then that means that the converted value is also 220V.

6. Now to convert Fahrenheit to Celsius, then all you have to do is use the formula given above and fill in what you know.

The given is 70°F

°C = $\frac{5}{9} (F - 32)$
= $\frac{5}{9} (70 - 32)$
= $\frac{5}{9} (38)$
= $\frac{190}{9}$
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1. $150,000 = $1.5 x 10^5

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Now the other way around. To convert scientific notation to standard form, just move the decimal the number of places indicated by the exponent of 10. If it is positive, you will move to the right and if it is negative, you will move to the left.

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Now do not forget to put in your units. In math or even in science the unit is EXTREMELY IMPORTANT.

Hope this helped you and good luck!

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