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Rufina [12.5K]
3 years ago
13

Velocity has two pieces of information.what are they

Physics
1 answer:
seraphim [82]3 years ago
3 0
They are speed and direction.
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Researchers have estimated that what to what genes reside within the chromosomes and influence all genetic characteristics
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Researchers have estimated that ______ to ______ genes reside within the chromosomes and
influence all genetic characteristics.

a. 10,000; 15,000
b. 20,000; 25,000
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6 0
3 years ago
A very long insulating cylinder has radius R and carries positive charge distributed throughout its volume. The charge distribut
blsea [12.9K]

Answer:

1.E(r) = \frac{\alpha}{4\pi \epsilon_0}(2 - \frac{r}{R})

2.E(r) = \frac{1}{4\pi \epsilon_0}\frac{\alpha R}{r}

3.The results from part 1 and 2 agree when r = R.

Explanation:

The volume charge density is given as

\rho (r) = \alpha (1-\frac{r}{R})

We will investigate this question in two parts. First r < R, then r > R. We will show that at r = R, the solutions to both parts are equal to each other.

1. Since the cylinder is very long, Gauss’ Law can be applied.

\int {\vec{E}} \, d\vec{a} = \frac{Q_{enc}}{\epsilon_0}

The enclosed charge can be found by integrating the volume charge density over the inner cylinder enclosed by the imaginary Gaussian surface with radius ‘r’. The integration of E-field in the left-hand side of the Gauss’ Law is not needed, since E is constant at the chosen imaginary Gaussian surface, and the area integral is

\int\, da = 2\pi r h

where ‘h’ is the length of the imaginary Gaussian surface.

Q_{enc} = \int\limits^r_0 {\rho(r)h} \, dr = \alpha h \int\limits^r_0 {(1-r/R)} \, dr = \alpha h (r - \frac{r^2}{2R})\left \{ {{r=r} \atop {r=0}} \right. = \alpha h (\frac{2Rr - r^2}{2R})\\E2\pi rh = \alpha h \frac{2Rr - r^2}{2R\epsilon_0}\\E(r) = \alpha \frac{2R - r}{4\pi \epsilon_0 R}\\E(r) = \frac{\alpha}{4\pi \epsilon_0}(2 - \frac{r}{R})

2. For r> R, the total charge of the enclosed cylinder is equal to the total charge of the cylinder. So,

Q_{enc} = \int\limits^R_0 {\rho(r)h} \, dr = \alpha \int\limits^R_0 {(1-r/R)h} \, dr = \alpha h(r - \frac{r^2}{2R})\left \{ {{r=R} \atop {r=0}} \right. = \alpha h(R - \frac{R^2}{2R}) = \alpha h\frac{R}{2} \\E2\pi rh = \frac{\alpha Rh}{2\epsilon_0}\\E(r) = \frac{1}{4\pi \epsilon_0}\frac{\alpha R}{r}

3. At the boundary where r = R:

E(r=R) = \frac{\alpha}{4\pi \epsilon_0}(2 - \frac{r}{R}) = \frac{\alpha}{4\pi \epsilon_0}\\E(r=R) = \frac{1}{4\pi \epsilon_0}\frac{\alpha R}{r} = \frac{\alpha}{4\pi \epsilon_0}

As can be seen from above, two E-field values are equal as predicted.

4 0
3 years ago
Zeros that follow non-zero numbers and are also to the right of a decimal point are significant.
Ivenika [448]
Yes that's correct. Also zeros in between non-zero numbers are significant figures
5 0
3 years ago
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Which scientific method could I use to test this hypothesis? "If the mass and the volume of an object are known, then its densit
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Answer:

Multiple so you can test multiple hypothesis at once

Explanation:

because

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A volcano erupted on an island. The entire plant community was destroyed and the island was covered with grey ash. Slowly, liche
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Answer:

There are several kinds of plants who grow and thrive near volcanic locations. For example coffee, grape vines, moss and the rare Hawaiian argyroxiphium, or "silversword." These plants grow and survive using the nutrients from the ashes of the volcanic eruptions along with cooled lava.

Mosses and Lichens form a protective layer over the land which helps it to retain water inside it, rather than drying out which is the case in volcanic sites. Therefore, the retained water helps the land to form and become appropriate for other plants to grow as well.

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3 years ago
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