The approximate change in gravitational force from Earth as a result of the change in radius of the satellite's orbit is -95.07N
<h3>What is the universal law of gravitation?</h3>The universal law of gravitation states that the particle of matter in the universe attracts another particle with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
It is written thus;
F = G ÷
Where
F = Gravitational force
G = Gravitational constant
and
are the masses of the object
r = radius
How to calculate the gravitational force
Formula:
F = G ÷
Given = 100kg
= 5.97 x
kg
r = 7.5 x m
G = 6.67 x N-m²/kg²
For the first orbit, substitute the values
F = 6.67 x × 150 × 5.97 x
÷ (7.5 x
)
F = 5.95 × ÷ 56.25 ×
= 105.77 N
For the second orbit of radius 7.7 x 10^6 m
F = 6.67 x × 100 × 5.97 x
÷ (7.7 x
)2
F = 5.95 × ÷ 59.25 ×
= 200. 84 N
The approximate change = 105. 77 - 200. 84 = -95.07N
Hence, the approximate change in gravitational force from Earth as a result of the change in radius of the satellite's orbit is -95.07N
Learn more about gravitational force here:
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