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taurus [48]
3 years ago
15

A pair of electrically charged objects attract each other with a force of 4 N when they are a distance of 3 m apart. If their ch

arges stay the same, then what will be the attractive force between them when they are 6 m apart
Physics
1 answer:
Rainbow [258]3 years ago
7 0

Answer:

1 N

Explanation:

From coulomb's law,

The force of attraction between two charges is inversely proportional to the square of the distance between the charges.

From the question,

Assuming the charges are the same in both case,

F ∝ /r²....................... Equation 1

Fr² = k

F'r'² = Fr²........................... Equation 2

Where F' = First Force, r'² = First distance, F = second force, r² = second distance.

make F the subject of the equation,

F = F'r'²/r².................... Equation 3

Given: F' = 4 N, r' = 3 m, r = 6 m

Substitute into equation 3

F = 4(3²)/6²

F = 36/36

F = 1 N

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Calculate the kinetic energy of a car that travels at a speed of 20 m/s and has a mass of 1200 Kg
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How many protons are in one kg of lead? b) How many electrons are in one kg of lead? c) What is the total negative charge of the
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Answer:

Number of protons = 2.3836\times 10^{26}

Number of electrons = 2.3836\times 10^{26}

Charge on these electrons = -3.8185\times 10^{7}\ C

Explanation:

1 atom of lead contains 82 protons and 82 electrons

1 mole = 6.023\times 10^{23} atoms

Thus,

1 mole of lead contains 82\times 6.023\times 10^{23} protons

Also, 1 mole of lead weighs 207.2 g

So,

207.2 g of lead contains 82\times 6.023\times 10^{23} protons

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So,

1000 g or 1 kg of lead contains \frac {82\times 6.023\times 10^{23}}{207.2}\times 1000 protons

<u>Number of protons = 2.3836\times 10^{26}</u>

Also, for neutral atom, number of protons = number of electrons.

Thus,

<u>Number of electrons = 2.3836\times 10^{26}</u>

Also,

Charge of 1 electron = - 1.602\times 10^{-19}\ C

Charge on these electrons = -2.3836\times 10^{26}\times 1.602\times 10^{-19}\ C

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3 0
3 years ago
Imagine an alternative universe where the characteristic decay time of neutrons is 3 min instead of 15 min. All other properties
FrozenT [24]

Answer:

(a) [Y_{p} ]_{max} = \frac{2f}{1+f}

(b) f_{new} = 0.013; [Y_{p} ]_{max} = 0.026

Explanation:

Since the neutron-to-proton ratio at the time of nucleosynthesis is given:

f = \frac{n_{n} }{n_{p} }

Therefore:

n_{n} = f*n_{p}

Then, to determine the maximum ⁴He fraction if all the available n_{n} neutrons bind to all the protons. Since, there are 2 protons and 2 neutrons in a ⁴He nucleus, it shows that there would be n_{n}/2 nuclei of ⁴He.

In addition, a ⁴He nucleus has a mass of 4m_{p}, where m_{p} is the mass of one proton. Thus, n_{n}/2 nuclei of such nuclei will have a mass of n_{n}/2*4m_{p}.

Assuming that m_{p}=m_{n}, there would be a total of (n_{n}+n_{p}) protons and neutrons with a total mass of (n_{n}+n_{p})*m_{p}.

Thus:[Y_{p} ]_{max} = \frac{2f}{1+f}

(b) Given:

t_{nuc} = 200 s;   τ_{n} = 3*60s = 180 s

f_{new} = \frac{n_{nf} }{n_{pf} } = \frac{exp (-200/180)}{5 +[1- exp(-200/180)]} =\frac{0.077}{5.923} = 0.013

[Y_{p} ]_{max} = \frac{2f}{1+f} = (2*0.013)/(1+0.013) = 0.026

6 0
3 years ago
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