Answer:
Explanation:
formula for the period of a satellite = 2π.
period of satellite A (Ta) = 2π.
period of satellite B (Tb) = 2π.
ratio of the periods of the satellites = (take note that π is shown as )
where
- Me = mass of the earth
- G = universal gravitational constant
- π = 3.142
- all the above are constants and cancel each since they are both at the numerator and denominator
- R = distance from the earth
the equation now becomes
=
- the velocity of a satellite = (take note that π is shown as )
- rearranging the above R = (take note that π is shown as )
- now substituting the above into the equation we have
= (take note that π is shown as )
2π will cancel itself from the numerator and denominator and we have
=
squaring both sides we have
=
now cross multiplying we have
from the question the velocity of satellite A is 3 times that of satellite B hence Va = 3Vb
The force between the two particles will quadruple
Explanation:
The magnitude of the electrostatic force between two charges is given by Coulomb's law:
where:
is the Coulomb's constant
are the two charges
d is the separation between the two charges
In this problem, let's call F the initial force between the two charges, when they are at a distance of d.
Later, the distance between the two particles is halved, so the new distance is:
This means that the new electrostatic force will be:
Therefore, the force between the two particles will quadruple.
Learn more about electrostatic force:
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