a) At what speed must a satellite be travelling so that it shall remain in a circular orbit1.6 x 103 km above the surface of the Earth. Take the mass of the Earth as 6.0 × 10²4kg, gravitational constant 6.7 × 10-11 N kg-2m-2 and radius of Earth as 6.4 × 106 m.b) A coil of wire, having 50 turns each of area 40 cm?, is placed so that a magneticfield of strength 0.01 T enters the coil at right angles. Using the Faraday's law ofelectromagnetic induction calculate the average induced EMF (electromotive force) inthe coil, if the field reduces to zero in 0.06 s.c) Considering electron and proton as two charged particles separated by d = 5 × 10-11m calculate the following:i) the electrostatic potential at a distance d from the proton.ii) the potential energy of the electron in the field of the protoniii) the Coulomb force between proton and electroniv) the gravitational force between the proton and electron and find its ratio to theCoulomb force.Take the mass of the proton 1.7 × 10-27 kg, the mass of the electron 9.1 × 10-31 kg,the electron charge -1.6 x 10-19 C, the value of the universal gravitational constant16.7 × 10-11 N kg-2m-2 and4πεο9 × 10° m/F.

Answered: Image /qna-images/answer/b11ef013-eb29-44fe-aee2-c2e2de40dfd8.jpg

At what speed must a satellite be travelling so that it shall remain in a circular orbit 1.6 x 103 km above the surface of the Earth. Take the mass of the Earth as 6.0 × 1024 kg, gravitational constant 6.7 × 10-11 N kg-²m-2 and radius of Earth as 6.4 × 106 m.

At what speed must a satellite be travelling so that it shall remain in a circular orbit 1.6 x 103 km above the surface of the Earth. Take the mass of the Earth as 6.0 × 1024 kg, gravitational constant 6.7 × 10-11 N kg-²m-2 and radius of Earth as 6.4 × 106 m.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

a) At what speed must a satellite be travelling so that it shall remain in a circular orbit
1.6 x 103 km above the surface of the Earth. Take the mass of the Earth as 6.0 × 10²4
kg, gravitational constant 6.7 × 10-11 N kg-2m-2 and radius of Earth as 6.4 × 106 m.
b) A coil of wire, having 50 turns each of area 40 cm?, is placed so that a magnetic
field of strength 0.01 T enters the coil at right angles. Using the Faraday's law of
electromagnetic induction calculate the average induced EMF (electromotive force) in
the coil, if the field reduces to zero in 0.06 s.
c) Considering electron and proton as two charged particles separated by d = 5 × 10-11
m calculate the following:
i) the electrostatic potential at a distance d from the proton.
ii) the potential energy of the electron in the field of the proton
iii) the Coulomb force between proton and electron
iv) the gravitational force between the proton and electron and find its ratio to the
Coulomb force.
Take the mass of the proton 1.7 × 10-27 kg, the mass of the electron 9.1 × 10-31 kg,
the electron charge -1.6 x 10-19 C, the value of the universal gravitational constant
1
6.7 × 10-11 N kg-2m-2 and
4πεο
9 × 10° m/F.

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