Find the slope of the line.

1. Two object accumulated a charge of

In-s [12.5K]

Answer:

The magnitude of the electric force between these two objects

will be: 181.274 N.

i.e. F $=181.274$ N

Step-by-step explanation:

As

Two object accumulated a charge of 4.5 μC and another a charge of 2.8 μC.

so

q₁ = 4.5 μC = 4.5 × 10⁻⁶ C

q₂ = 2.8 μC = 2.8 × 10⁻⁶ C

separated distance = d = 2.5 cm

Calculating the magnitude of the force between two charged objects using the formula:

$F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}$

$=\:\frac{4.5\times \:\:10^{-6}\:\times \:\:2.8\:\times \:\:10^{-6}}{4\:\times \:\left(3.14\right)\:\times \:\left(8.85\times \:10^{-12}\right)\times \left(2.5\times \:\:10^{-2}\right)^2}$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:4\times \:8.85\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $4.5\times \:10^{-6}\times \:2.8\times \:10^{-6}=10^{-12}\times \:12.6$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:35.4\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $\mathrm{Multiply\:the\:numbers:}\:4\times \:8.85=35.4$

$\mathrm{Cancel\:the\:common\:factor:}\:10^{-12}$

$=\frac{12.6}{35.4\pi \left(10^{-2}\times \:2.5\right)^2}$

$=\frac{12.6}{0.025^2\times \:35.4\pi }$ ∵ $\left(10^{-2}\times \:2.5\right)^2=0.025^2$

$=\frac{12.6}{0.022125\pi }$ ∵ $35.4\pi\times 0.025^2=0.022125\pi$

$=\frac{12.6}{0.06950 }$

F $=181.274$ N

Therefore, the magnitude of the electric force between these two objects will be: 181.274 N.

i.e. F $=181.274$ N

7 0

3 years ago

Select all expressions that are equivalent to 5x + (x+6) + 3x.

liraira [26]

The correct answer is 9x+6.

5 0

2 years ago

Read 2 more answers

The elephants at the zoo eat 3 2/3 buckets of bananas each day. The zookeeper bought 7 1/3 buckets of bananas. How many days wil

uranmaximum [27]

Answer: 2 days

Step-by-step explanation:

The monkeys eat 3 ²/₃ buckets of bananas each day. Convert this to an improper fraction:

= 3²/₃ = 11/3 buckets per day

The zookeeper bought 7¹/₃ which is:

= 22/3 buckets

To find out the number of days the bananas will last, divide the buckets bought by the buckets eaten per day:

= 22/3 ÷ 11/3

= 22/3 * 3/11

= 66/33

= 2 days

If dividing fractions, multiply by the reciprocal of the second fraction.

7 0

2 years ago

A paper popcorn cone measures 4 inches in a diameter and is 9 inches high?

Aloiza [94]

Explanation is in the file

tinyurl.com/wtjfavyw

8 0

3 years ago

Read 2 more answers

0.04 rounded to the nearest hundreth and 0.2% rounded to the nearest hundreth

ELEN [110]

To round a number, you look to the next place to the right of what you want to round to... for example, if you want to round to the nearest hundredth, you look to the thousandths place to see whether the hundredths place rounds up or down.

0.04 is already at the hundredths place so the thousandths place is zero... the answer to the nearest hundredth is 0.04.

For 0.2%, you have to convert the percentage to a decimal by dividing by 100 (move the decimal 2 places to the left).

0.2% = 0.002

So now to round to the nearest hundredth, we look to the thousandths place. The thousandths place has a 2 in it so the hundredths place rounds down. 0.2% total he nearest hundredth is 0.

7 0

3 years ago