(b) A 600 kg satellite is in a circular orbit about Earth at a height above Earth equal to Earth's radius. Find i. the satellite's orbital speed, 5.59 x 10' m s ii. the period of its revolution 3.98 h iii. the gravitational force acting on it. 1.47 x 10' N

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Chapter1: Units, Trigonometry. And Vectors
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Question 1(b) (ii) and 1(b) (iii)
COURSE CODE
TUTORIAL 7
SEMESTER 1,
GRAVI TAΤION
CENTRE FOR F
STUDIES IM
UNIVERSITY
PART 1
1. (a) State Newton's Law of Universal Gravitation and write
its equation (define all symbols used).
Newton's Law of Universal Gravitation states that 'Eve.
particle in the Universe attracts every other particle
with a force that is directly proportional to the
product of the masses and inversely proportional to th
square of the distance between them'.
(b) A 600 kg satellite is in a circular orbit about Earth
at a height above Earth equal to Earth's radius. Find
i.
the satellite's orbital speed,
5.59 x 10' m s
ii. the period of its revolution
iii. the gravitational force acting on it. 1.47 × 10³N
3.98 h
2. The Earth has a mass of 5.98 x 1024 kg and a radius of
The Moon has a mas s of 7.35 x 1022 kg and
6.38 x 10° m.
radius of 1.74 x 106 m.
The Moon takes 27 days to g
round the Earth in
an orbit of radius 3.8 x 10 m.
The
escape velocity from the surface of the Earth is 11.2 ki
s1. Calculate
(i)
the escape velocity from the surface of the Moon.
2.33 km s¯1
(ii)the gravitational potential energy of the Moon in its
orbit.
= -7.71 x 1028 }
Additional Questions
Transcribed Image Text:COURSE CODE TUTORIAL 7 SEMESTER 1, GRAVI TAΤION CENTRE FOR F STUDIES IM UNIVERSITY PART 1 1. (a) State Newton's Law of Universal Gravitation and write its equation (define all symbols used). Newton's Law of Universal Gravitation states that 'Eve. particle in the Universe attracts every other particle with a force that is directly proportional to the product of the masses and inversely proportional to th square of the distance between them'. (b) A 600 kg satellite is in a circular orbit about Earth at a height above Earth equal to Earth's radius. Find i. the satellite's orbital speed, 5.59 x 10' m s ii. the period of its revolution iii. the gravitational force acting on it. 1.47 × 10³N 3.98 h 2. The Earth has a mass of 5.98 x 1024 kg and a radius of The Moon has a mas s of 7.35 x 1022 kg and 6.38 x 10° m. radius of 1.74 x 106 m. The Moon takes 27 days to g round the Earth in an orbit of radius 3.8 x 10 m. The escape velocity from the surface of the Earth is 11.2 ki s1. Calculate (i) the escape velocity from the surface of the Moon. 2.33 km s¯1 (ii)the gravitational potential energy of the Moon in its orbit. = -7.71 x 1028 } Additional Questions
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