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) suppose that you traveled to a planet with 4 times the mass and 4 times the diameter of earth. would you weight more or less on that planet than on earth? by what factor?

Sagot :

The weight of ourselves on the new planet will reduce by 1/4 factor.

What is gravitational acceleration?

We know that each body attracts another body, Now if we free fall on any planet then the natural acceleration or acceleration due to gravity force is called gravitation acceleration.

The gravitation acceleration is given by,

g = GM/R²

Where G is constant while M is the mass of the planet and R is the radius of that planet.

The value of g or gravitational acceleration for the earth is 9.81 m/sec².

Given that the new planet has a mass of 4 times then earth and diameter is also 4 times.

Since gravitation acceleration of earth ;

g = GM/R²

Since the diameter is 4 times so radius will also 4 times.

New planet acceleration ;

g' = G(4M)/(4R)²

g' = 4/16(GM/R²)

g' = 1/4(g)

Hence "The weight of ourselves on the new planet will reduce by 1/4 factor".

To learn more about gravitational acceleration,

https://brainly.com/question/14374981

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