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diamong [38]
2 years ago
7

Two particles, each of mass m, are initially at rest very far apart.Obtain an expression for their relative speed of approach at

any instant as a function of their separation distance d if the only interaction is their gravitational attraction to each other.Express your answer in terms of some or all of the variables m, d, and gravitational constant G.
Physics
1 answer:
PSYCHO15rus [73]2 years ago
5 0

Answer:

|\Delta v |=\sqrt{\frac{4Gm}{d} }

Explanation:

Consider two particles are initially at rest.

Therefore,

the kinetic energy of the particles is zero.

That initial K.E. = 0

The relative velocity with which both the particles are approaching each other is Δv and their reduced masses are

\mu= \frac{m_1m_2}{m_1+m_2}

now, since both the masses have mass m

therefore,

\mu= \frac{m^2}{2m}

= m/2

The final K.E. of the particles is

KE_{final}=\frac{1}{2}\times \mu\times \Delta v^2

Distance between two particles is d and the gravitational potential energy between them is given by

PE_{Gravitational}= \frac{Gmm}{d}

By law of conservation of energy we have

KE_{initial}+KE_{final}= PE_{gravitaional}

Now plugging the values we get

0+\frac{1}{2}\frac{m}{2}\Delta v^2= -\frac{Gmm}{d}

|\Delta v |=\sqrt{\frac{4Gm}{d} }

=\sqrt{\frac{Gm}{d} }

This the required relation between G,m and d

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Answer:

a. stay the same for very long

Explanation:

It is rare for any motion to stay the same for a very long time. The force applied on a body causes changes in the magnitude of motion.

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  • All the forces on the body must be balanced.
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3 years ago
A. <br> B.<br> C.<br> D.<br> Please help
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Explanation:

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Answer:

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7 0
2 years ago
An elevator is accelerating upward at a rate of 3.6 m/s2. a block of mass 24 kg hangs by a low-mass rope from the ceiling, and a
kozerog [31]
The answer:

<span>When the elevator accelerates upward at a rate of 3.6 m/s², the value of the acceleration becomes

</span>A=g+3.6=13.4 m/s²
and by using the newton's law, F=mass x A, we have 
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</span> and 
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When the elevator accelerates downward at a rate of 3.6 m/s², the value of the acceleration becomes
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2 years ago
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