1. The gravitational force of attraction between the earth and the sun is 1.6×1023 N. What would be the force if the earth were three times as massive? 2. If the masses remain the same but the distance of separation is decreased to one-half the original distance, what happens to gravitational force? Explain your answer in equation form. 3. How much does a woman of mass 50 kg weigh on the earth's surface? What would be her mass 400,000 km above the earth's surface? 4. A bag of ball bearings weighs 21.56 N on Earth and 3.52 N on another planet. What is the acceleration due to gravity on the other planet?

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Lesson all about is NEWTON’S LAW OF UNIVERSAL GRAVITATION. I attached some formulas maybe it can help in solving the problem and please be concise and step by step answer. 

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1. The gravitational force of attraction between the earth and the sun is 1.6×1023
N. What would be the force if the earth were three times as massive?
2. If the masses remain the same but the distance of separation is decreased to
one-half the original distance, what happens to gravitational force? Explain your
answer in equation form.
3. How much does a woman of mass 50 kg weigh on the earth's surface? What
would be her mass 400,000 km above the earth's surface?
4. A bag of ball bearings weighs 21.56 N on Earth and 3.52 N on another planet.
What is the acceleration due to gravity on the other planet?
Transcribed Image Text:1. The gravitational force of attraction between the earth and the sun is 1.6×1023 N. What would be the force if the earth were three times as massive? 2. If the masses remain the same but the distance of separation is decreased to one-half the original distance, what happens to gravitational force? Explain your answer in equation form. 3. How much does a woman of mass 50 kg weigh on the earth's surface? What would be her mass 400,000 km above the earth's surface? 4. A bag of ball bearings weighs 21.56 N on Earth and 3.52 N on another planet. What is the acceleration due to gravity on the other planet?
We can relate the gravitational potential energy and the universal gravitation by the
following formula:
Gmgm
Where U is the gravitational potential energy; G is the universal gravitational constant;
mɛ is the mass of the Earth; m is the mass of the body and r is the distance of body
from the earth's center.
Every particle of matter in the universe attracts every other
particle with a force that is directly proportional to the product
of the masses of the particles and inversely proportional to the
square of the distance between them.
In mathematical equation:
Gm,m2
where:
F, - Magnitude of the attractive gravitational force between any two
bodies
G – Universal gravitation constant, equal to 6.67×10-11 Nm²/kg?
m1 & m2 – masses of the two objects
r - distance between two objects
Transcribed Image Text:We can relate the gravitational potential energy and the universal gravitation by the following formula: Gmgm Where U is the gravitational potential energy; G is the universal gravitational constant; mɛ is the mass of the Earth; m is the mass of the body and r is the distance of body from the earth's center. Every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of the masses of the particles and inversely proportional to the square of the distance between them. In mathematical equation: Gm,m2 where: F, - Magnitude of the attractive gravitational force between any two bodies G – Universal gravitation constant, equal to 6.67×10-11 Nm²/kg? m1 & m2 – masses of the two objects r - distance between two objects
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