The force becomes 1/2 F which is the third choice
F=mv^2/r
The magnitude of a vertical electric field that will balance the weight of a plastic sphere of mass 2. 1 g that has been charged to -3. 0 NC is 6.86 ×
N/C.
An electric field is the physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field of a system of charged particles.
It is given that,
Mass of sphere, m = 2.1 g =0.0021kg
Charge,q = ₋3nC = ₋ 3 ₓ ![10^{-9}](https://tex.z-dn.net/?f=10%5E%7B-9%7D)
To balance the weight of a plastic sphere, we must determine the magnitude of the electric field. So,
![ma= qE](https://tex.z-dn.net/?f=ma%3D%20qE)
a = g
![E = \frac{mg}{q}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7Bmg%7D%7Bq%7D)
E = ![\frac{0.0021 * 9.8}{-3 * 10^{-9} }](https://tex.z-dn.net/?f=%5Cfrac%7B0.0021%20%2A%209.8%7D%7B-3%20%2A%2010%5E%7B-9%7D%20%7D)
E = 6860000 N/C
E = 6.86 ×
N/C
Hence, the magnitude of the electric field that balances its weight is 6.86 ×
N/C .
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Answer:
The velocity of the shell when the cannon is unbolted is 500.14 m/s
Explanation:
Given;
mass of cannon, m₁ = 6430 kg
mass of shell, m₂ = 73.8-kg
initial velocity of the shell, u₂ = 503 m/s
Initial kinetic energy of the shell; when the cannon is rigidly bolted to the earth.
K.E = ¹/₂mv²
K.E = ¹/₂ (73.8)(503)²
K.E = 9336032.1 J
When the cannon is unbolted from the earth, we apply the principle of conservation of linear momentum and kinetic energy
change in initial momentum = change in momentum after
0 = m₁u₁ - m₂u₂
m₁v₁ = m₂v₂
where;
v₁ is the final velocity of cannon
v₂ is the final velocity of shell
![v_1 = \frac{m_2v_2}{m_1}](https://tex.z-dn.net/?f=v_1%20%3D%20%5Cfrac%7Bm_2v_2%7D%7Bm_1%7D)
Apply the principle of conservation kinetic energy
![v_2^2 = 250138.173\\\\v_2 = \sqrt{250138.173} \\\\v_2 = 500.14 \ m/s](https://tex.z-dn.net/?f=v_2%5E2%20%3D%20250138.173%5C%5C%5C%5Cv_2%20%3D%20%5Csqrt%7B250138.173%7D%20%5C%5C%5C%5Cv_2%20%3D%20500.14%20%20%5C%20m%2Fs)
Therefore, the velocity of the shell when the cannon is unbolted is 500.14 m/s
The solute would then sink to the bottom and would not dissolve
You will be left with 106 kids
<h3>Meaning of word problem</h3>
A word problem can be defined as a mathematical problem that is written in word or written in a sentence format.
In a word problem, the student is expected to decode the sentence into a mathematical expression before solving
In conclusion, You will be left with 106 kids
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