Answer:
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Explanation:
Molecular theory of magnetism states, "If molecular magnets align in a row, then the substance exhibits magnetic property. If they are kept haphazardly, they do not exhibit magnetic property." This is the molecular theory of magnetism. If molecular magnets align in a row, then the substance exhibits magnetic property.
Answer:
![\boxed {\boxed {\sf 7.84 \ Joules}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%207.84%20%5C%20Joules%7D%7D)
Explanation:
The formula for potential energy is:
![PE=m*g*h](https://tex.z-dn.net/?f=PE%3Dm%2Ag%2Ah)
where <em>m </em>is the mass, <em>g</em> is the gravitational acceleration, and <em>h</em> is the height.
The mass of the book is 0.4 kilograms. The gravitational acceleration on Earth is 9.8 m/s². The height of the book is 2 meters.
![m=0.4 \ kg \\g=9.8 \ m/s^2 \\h=2\ m](https://tex.z-dn.net/?f=m%3D0.4%20%5C%20kg%20%5C%5Cg%3D9.8%20%5C%20m%2Fs%5E2%20%5C%5Ch%3D2%5C%20m)
Substitute the values into the formula.
![PE=(0.4 \ kg)(9.8 \ m/s^2)(2 \ m)](https://tex.z-dn.net/?f=PE%3D%280.4%20%5C%20kg%29%289.8%20%5C%20m%2Fs%5E2%29%282%20%5C%20m%29)
Multiply the first two numbers.
- 0.4 kg*9.8 m/s²= 3.92 kg*m/s²
- If we convert the units now, the problem will be much easier later on.
- 1 kg*m/s² is equal to 1 Newton. So, our answer of 3.92 kg*m/s² is equal to 3.92 N
![PE=(3.92 \ N )(2 \ m)](https://tex.z-dn.net/?f=PE%3D%283.92%20%5C%20N%20%29%282%20%5C%20m%29)
Multiply.
- 3.92 N* 2 m=7.84 N*m
- 1 Newton meter is equal to 1 Joule (this is why we converted the units).
- Our answer is equal to<u> 7.84 Joules.</u>
![PE=7.84 \ J](https://tex.z-dn.net/?f=PE%3D7.84%20%20%5C%20J)
The value of x in the given right triangle in a semicircle is determined as 21.
<h3>What is the measure of a triangle in a semicircle?</h3>
The triangle in a semicircle is always a right angle triangle.
From the figure shown, we can say that the triangle G J K is right triangle and m<K = 90degrees.
Given that m<K = 4x + 6, we will can use the following equation to find the value of x as shown:
4x + 6 = 90
4x = 90 - 6
4x = 84
x = 21
Thus, the value of x in the given right triangle in a semicircle is determined as 21.
Learn more about right angle here: brainly.com/question/64787
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Answer:
- 670 kg.m/s
Explanation:
Newton's third law states that to every action, there is equal and opposite reaction force. Since the force will be same but different in direction and acted in the same time then the impulses ( force multiply by time) of the two car be same in magnitude but different in direction - 670 kg.m/s
Answer:
a) -2.516 × 10⁻⁴ V
b) -1.33 × 10⁻³ V
Explanation:
The electric field inside the sphere can be expressed as:
![E= \frac{kqr}{R^3}](https://tex.z-dn.net/?f=E%3D%20%5Cfrac%7Bkqr%7D%7BR%5E3%7D)
The potential at a distance can be represented as:
V(r) - V(0) = ![-\int\limits^r_0 {\frac{kqr}{R^3} } \, dr^2](https://tex.z-dn.net/?f=-%5Cint%5Climits%5Er_0%20%7B%5Cfrac%7Bkqr%7D%7BR%5E3%7D%20%7D%20%5C%2C%20dr%5E2)
V(r) - V(0) =
₀
V(r) =
₀
Given that:
q = +3.83 fc = 3.83 × 10⁻¹⁵ C
r = 0.56 cm
= 0.56 × 10⁻² m
R = 1.29 cm
= 1.29 × 10⁻² m
E₀ = 8.85 × 10⁻¹² F/m
Substituting our values; we have:
![= -\frac{(3.83*10^{-15}C)(0.560*10^{-2}m)^2}{8 \pi (8.85*10^{-12}F/m)(1.29*10^{-2}m)^3}](https://tex.z-dn.net/?f=%3D%20-%5Cfrac%7B%283.83%2A10%5E%7B-15%7DC%29%280.560%2A10%5E%7B-2%7Dm%29%5E2%7D%7B8%20%5Cpi%20%288.85%2A10%5E%7B-12%7DF%2Fm%29%281.29%2A10%5E%7B-2%7Dm%29%5E3%7D)
= -2.15 × 10⁻⁴ V
The difference between the radial distance and center can be expressed as:
V(r) - V(0) = ![-\int\limits^R_0 {\frac{kqr}{R^3} } \, dr^2](https://tex.z-dn.net/?f=-%5Cint%5Climits%5ER_0%20%7B%5Cfrac%7Bkqr%7D%7BR%5E3%7D%20%7D%20%5C%2C%20dr%5E2)
V(r) - V(0) = ![[\frac{qr^2}{8 \pi E_0R^3 }]^R](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bqr%5E2%7D%7B8%20%5Cpi%20E_0R%5E3%20%7D%5D%5ER)
V(r) = ![-\frac{qR^2}{8 \pi E_0R^3 }](https://tex.z-dn.net/?f=-%5Cfrac%7BqR%5E2%7D%7B8%20%5Cpi%20E_0R%5E3%20%7D)
V(r) = ![-\frac{q}{8 \pi E_0R }](https://tex.z-dn.net/?f=-%5Cfrac%7Bq%7D%7B8%20%5Cpi%20E_0R%20%7D)
V(r) ![= -\frac{(3.83*10^{-15}C)}{8 \pi (8.85*10^{-12}F/m)(1.29*10^{-2}m)}](https://tex.z-dn.net/?f=%3D%20-%5Cfrac%7B%283.83%2A10%5E%7B-15%7DC%29%7D%7B8%20%5Cpi%20%288.85%2A10%5E%7B-12%7DF%2Fm%29%281.29%2A10%5E%7B-2%7Dm%29%7D)
V(r) = -0.00133
V(r) = - 1.33 × 10⁻³ V