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How does gravity differ on earth compared to other places in the universe?

Answer 1

See explanation for some example calculations...

The gravitational force general equation is:

#F = G (m_1 m_2) / r^2#

where #G = 6.674×10^(−11) N(m"/"kg)^2# is the universal gravitational constant (usually called "big G"), #m_1# and #m_2# are the masses of the two objects involved and #r# is the distance between them. So gravity is proportional to mass and inversely proportional to the square of the distance.

For example, Jupiter is about #11# times the diameter of the Earth and about #1,300# times the volume, but it is less dense than the Earth, so its mass is just #318# times that of Earth. So at the surface of Jupiter the gravity is about #318/11^2 ~~ 2.5# times that we experience on the surface of Earth.

The sun is about #109# times the diameter of the Earth so about #1,300,000# times the volume, but is less dense than the Earth, so its mass is #333,000# times the mass of the Earth. So at the surface of the Sun the gravity is about #(333,000)/109^2 ~~ 28# times the surface gravity on Earth.

A white dwarf has approximately the mass of our sun, but the size of the Earth. That means that its surface gravity would be of the order of #333,000# times Earth surface gravity.

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Answer 2

Olivia Aldridge

Gravity differs on Earth compared to other places in the universe primarily due to variations in mass and distance. For example, the gravitational pull on Earth's surface is relatively strong compared to the Moon, resulting in objects weighing less on the Moon. Similarly, gravity is stronger near massive objects like stars and black holes, but weaker in regions of lower mass or farther away from massive bodies. Additionally, gravitational effects can be influenced by factors such as acceleration, rotation, and the distribution of matter.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.