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MissTica
3 years ago
6

Only the component of force perpendicular to the direction motion does work. true or false

Physics
1 answer:
const2013 [10]3 years ago
4 0
No.  Only the component of force parallel
to the direction of motion does work.

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physical sicence boilagiy sxcience and earth science

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The equator has no continental borders.
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Explanation:

The volume of a sphere is:

V = 4/3 * π * a^3

The volume charge density would then be:

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If the charge density depends on the radius:

p = f(r) = k * r

I integrate the charge density in spherical coordinates. The charge density integrated in the whole volume is equal to total charge.

Q = \int\limits^{2*\pi}_0\int\limits^\pi_0  \int\limits^r_0 {k * r} \, dr * r*d\theta* r*d\phi

Q = k *\int\limits^{2*\pi}_0\int\limits^\pi_0  \int\limits^r_0 {r^3} \, dr * d\theta* d\phi

Q = k *\int\limits^{2*\pi}_0\int\limits^\pi_0 {\frac{r^4}{4}} \, d\theta* d\phi

Q = k *\int\limits^{2*\pi}_0 {\frac{\pi r^4}{4}} \,  d\phi

Q = \frac{\pi^2 r^4}{2}}

Since p = k*r

Q = p*π^2*r^3 / 2

Then:

p(r) = 2*Q / (π^2*r^3)

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