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3 years ago

If you have 5 protons and 6 neutrons, how many electrons would you add to make a neutral atom?

Mathematics

1 answer:

Goshia [24]3 years ago

5 0

Answer:

The correct option is;

5 electrons

Step-by-step explanation:

The charge of the proton is equal to 1.602 × 10⁻¹⁹C while the charge of one electron is -1.602 × 10⁻¹⁹C

Therefore, given that the atom is to be electrically neutral, we have;

The initial charge of the atom = 5 × 1.602 × 10⁻¹⁹C = 8.01 × 10⁻¹⁹C

The charge of the added electron + The charge of the present proton = 0

Therefore;

The charge of the added electron + 8.01 × 10⁻¹⁹C = 0

The charge of the added electrons = 0 - 8.01 × 10⁻¹⁹C = -8.01 × 10⁻¹⁹C

The charge of one electron = -1.602 × 10⁻¹⁹C

The number of electrons = The charge of the added electrons/(The charge of one electron)

The number of electrons = -8.01 × 10⁻¹⁹C/(-1.602 × 10⁻¹⁹C) = 5 electrons

The number of electrons to be added = 5 electrons.

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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En

ArbitrLikvidat [17]

Answer:

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , c) $x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$ , $y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$ .

Step-by-step explanation:

The equation of the circle is:

$x^{2} + (y-1)^{2} = 16$

After some algebraic and trigonometric handling:

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1$

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t$

Where:

$\frac{x}{4} = \cos t$

$\frac{y-1}{4} = \sin t$

Finally,

$x = 4\cdot \cos t$

$y = 1 + 4\cdot \sin t$

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

c) $x = 4\cdot \cos t''$ , $y = 1 + 4\cdot \sin t''$

Where:

$4\cdot \cos t' = 0$

$1 + 4\cdot \sin t' = 5$

The solution is $t' = \frac{\pi}{2}$

The parametric equations are:

$x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$

$y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$

7 0

3 years ago

10. Daniels goes to the shopping center. He has a bank account with a

Savatey [412]

Answer:

-$36

Step-by-step explanation:

Daniel has a starting balance of $259, so anything he spends will be deducted by this amount. To find out how much he spent, we need to add up everything he bought.

He spent $45 + $150 + $100, adding to a grad total of $295.

To find out how much money Daniel has left, we need to subtract his purchases from his funds. This would be $259 - $295. This leaves you with a final answer of -$36 in Daniel's bank account.

8 0

2 years ago

Carl offered to pay jake $0.25 a square foot to paint his fence. The fence measures 109 feet long and 7 feet wide what is the to

Scorpion4ik [409]

Answer:

Part 1) The total square footage of the fence is $763\ ft^{2}$