By definition, a cube is a three-dimensional figure that have equal dimensions for all its sides. It comprises of two square bases, one on top and one on the bottom. The face sides are also squares. Therefore, the volume of a cube is equal to s³, where s is the measure of the side's length. To compare the change, let us assume values. First, suppose s=1. Then, we denote this volume as V₁.
V₁ = (1)³ = 1
Next, taking the double, s=2. The volume for this is denoted as V₂.
V₂ = (2)³ = 8
Taking the ratio of V₂ to V₁:
V₂/V₁ = 8
That means the scale factor is 8. When the side dimensions is doubled, the volume of the cube increases 8 times as great as the original volume.
The inner planets are usually rocky because the gravitational pull is stronger closer to the star or in this case the sun. The dust and rocky particles that are left over after a super nova or in a nebula will tend to orbit closer to a proto-star when a solar system is in its early days. In our solar system these planets are Mercury, Venus, Earth and Mars. Gases are less dense and will be less affected by the pull of gravity because rocky particles have more mass. The outer planets are gas giants formed from clouds of gas that would be further out in the spinning disk around a proto-star.
Answer: 2.86 m
Explanation:
To solve this question, we will use the law of conservation of kinetic and potential energy, which is given by the equation,
ΔPE(i) + ΔKE(i) = ΔPE(f) + ΔKE(f)
In this question, it is safe to say there is no kinetic energy in the initial state, and neither is there potential energy in the end, so we have
mgh + 0 = 0 + KE(f)
To calculate the final kinetic energy, we must consider the energy contributed by the Inertia, so that we then have
mgh = 1/2mv² + 1/2Iw²
To get the inertia of the bodies, we use the formula
I = [m(R1² + R2²) / 2]
I = [2(0.2² + 0.1²) / 2]
I = 0.04 + 0.01
I = 0.05 kgm²
Also, the angular velocity is given by
w = v / R2
w = 4 / (1/5)
w = 20 rad/s
If we then substitute these values in the equation we have,
0.5 * 9.8 * h = (1/2 * 0.5 * 4²) + (1/2 * 0.05 * 20²)
4.9h = 4 + 10
4.9h = 14
h = 14 / 4.9
h = 2.86 m
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Answer: Something that's vibrating, and you also need medium for those vibrations to start in.
I hope this helped!
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- Zack Slocum
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Answer:
The angular separation equals 
Explanation:
We have according to Snell's law
Using this equation for both the colors separately we have
Similarly for violet light we have
Thus the angular separation becomes
