Answer:
Explanation:
The application of Gauss's law is used in the derivation as shown with detailed step by step in the attached file.
The potential difference on this spherical capacitor is ΔV = Va - Vb = kQ/a - kQ/b = kQ(1/a - 1/b)
Suppose all of the apples have a mass of 0.10 kg and one of the apples in the bowl (C) is 1.0 meter off the ground. If the apple
2 answers:
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The Earth's rotational kinetic energy is the kinetic Energy that the Earth
has due to rotation.
The rotational kinetic energy of the Earth is approximately <u>3.331 × 10³⁶ J</u>
Reasons:
<em>The parameters required for the question are; </em>
<em>Mass of the Earth, M = </em><em>5.97 × 10²⁴ kg</em>
<em>Radius of the Earth, R = </em><em>6.38 × 10⁶ m</em>
<em>The rotational period of the Earth, T = </em><em>24.0 hrs</em><em>.</em>
Which gives;
Therefore;
Which gives;
The rotational kinetic energy of the Earth, = <u>3.331 × 10³⁶ Joules</u>
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<em>The moment of inertia from part A of the question (obtained online) is that of the Earth approximated to a perfect sphere</em>.
<em>Mass of the Earth, M = 5.97 × 10²⁴ kg</em>
<em>Radius of the Earth, R = 6.38 × 10⁶ m</em>
<em>The rotational period of the Earth, T = 24.0 hrs</em>
Answer:
Explanation:
This is a recoil problem, which is just another application of the Law of Momentum Conservation. The equation for us is:
which, in words, is
The momentum of the astronaut plus the momentum of the piece of equipment before the equipment is thrown has to be equal to the momentum of all that same stuff after the equipment is thrown. Filling in:
Obviously, on the left side of the equation, nothing is moving so the whole left side equals 0. Doing the math on the right and paying specific attention to the sig fig's here (notice, I added a 0 after the 4 in the velocity value so our sig fig's are 2 instead of just 1. 1 is useless in most applications).
0 = 90.0v - 2.0 and
2.0 = 90.0v so
v = .022 m/s This is the rate at which he is moving TOWARDS the ship (negative was moving away from the ship, as indicated by the - in the problem). Now we can use the d = rt equation to find out how long this process will take him if he wants to reach his ship before he dies.
12 = .022t and
t = 550 seconds, which is the same thing as 9.2 minutes
Answer:
5.9 x 10⁻⁷m
Explanation:
Given parameters:
Frequency = 5.085 x 10¹⁴Hz
Speed of light = 3.0 x 10⁸m/s
Unknown:
Wavelength of the orange light = ?
Solution:
The wavelength can be derived using the expression below;
wavelength =
v is the speed of light
f is the frequency
wavelength = = 5.9 x 10⁻⁷m
To solve this problem we will apply the concepts related to energy conservation, so the potential energy in the package must be equivalent to its kinetic energy. From there we will find the speed of the package in the vertical component. The horizontal component is given, as it is the same as the one the plane is traveling to. Vectorially we will end up finding its magnitude. So,
Here,
m = Mass
g = Gravity
h = Height
v = Velocity
Rearranging to find the velocity
Replacing,
Using the vector properties the magnitude of the velocity vector would be given by,
Therefore the package is moving to 66.2m/s