The acceleration of gravity on the
1 answer:
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<h2>Answer: 1.252</h2>
Explanation:
We are given this equation and we need to find the value of :
(1)
Firstly, we have to clear :
(2)
Applying<u> Natural Logarithm</u> on both sides of the equation (2):
(3)
(4)
According to the Natural Logarithm rules , so (4) can be written as:
(5)
Finally:
The gravity force between Jupiter and Io will be 6.343 × 10²² N.
<h3>What is Newton's law of gravitation?</h3>
Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.
Given data;
Mass of Jupiter,
Mass of moon of Jupiter,]
The gravitational constant is,
Distance between Jupiter and Io, R = 421,700 km = 4,217,00,000 m
The gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.
The gravitational force is found as;
Hence, the gravity force between Jupiter and Io will be 6.343 × 10²² N.
The complete question is
"Jupiter has a mass of 1.9 × 1027 kg, and its moon Io has a mass of 8.9 × 1022 kg. Their centers are separated by a distance of 421,700 km what is the force of gravity acting on Io? "
To learn more about Newton's law of gravitation, refer to the link.
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