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Nesterboy [21]
3 years ago
6

Two objects each with a mass of 5x10^15 kg have a gravitational

Physics
1 answer:
kipiarov [429]3 years ago
6 0

Answer:

Distance, r = 700.31 m

Explanation:

Mass of two objects, m_1=m_2=5\times 10^{15}\ kg

Force between the objects , F=3.4\times 10^{15}\ N

We need to find the distance between the two objects. The force of gravitational between two objects is given by :

F=G\dfrac{m_1m_2}{r^2}\\\\r=\sqrt{\dfrac{Gm_1m_2}{F}} \\\\r=\sqrt{\dfrac{6.67\times 10^{-11}\times (5\times 10^{15})^2}{3.4\times 10^{15}}}\\\\=700.31\ m

So, the distance between the objects is 700.31 m.

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3 years ago
Solenoid A has total number of turns N length L and diameter D. Solenoid B has total number of turns 2N, length 2L and diameter
vesna_86 [32]

Answer:

∴Inductance of solenoid A is \frac18 of inductance of solenoid B.

Explanation:

Inductance of a solenoid is

L=N\frac\phi I

 =N\frac{B.A}{I}

 =N\frac{\mu_0NI}{l.I}A

 =\frac{\mu_0N^2A}{l}

 =\frac{\mu_0N^2}{l}.\pi(\frac d2)^2

 =\mu_0\pi\frac{N^2d^2}{4l}

N= number of turns

l = length of the solenoid

d= diameter of the solenoid

A=cross section area

B=magnetic induction

\phi = magnetic flux

I= Current

Given that, Solenoid A has total number of turns N, length L and diameter D

The inductance of solenoid A is

=\mu_0\pi\frac{N^2D^2}{4L}

Solenoid B has total number of turns 2N, length  2L and diameter 2D

The inductance of solenoid B is

=\mu_0\pi\frac{(2N)^2(2D)^2}{4.2L}

=\mu_0\pi\frac{16 N^2D^2}{4.2L}

Therefore,

\frac {\textrm{Inductance of A}}{\textrm{Inductance of B}}=\frac{\mu_0\pi\frac{N^2D^2}{4L}}{\mu_0\pi\frac{16 N^2D^2}{4.2L}}

\Rightarrow \frac {\textrm{Inductance of A}}{\textrm{Inductance of B}}=\frac18

\Rightarrow  {\textrm{Inductance of A}}=\frac18\times {\textrm{Inductance of B}}

∴Inductance of solenoid A is \frac18 of inductance of solenoid B.

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4 years ago
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Noticing large amounts of algal growth in her small farm pond, a farmer adds about 20 grass carp to feed on the abundant algae a
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Answer:

D. bacteria feeding on the large volume of carp feces depleted the oxygen

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The most possible explanation for the dead of the fishes in the pond because the bacteria feeds on the carp feces which depletes the dissolved oxygen present in the water. Thus the fishes could not breathe and were finally dead.

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