Basic question regarding gravitation

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In summary, gravitation is the force of attraction between objects with mass in the universe, discovered by Sir Isaac Newton in 1687. The force of gravity is directly proportional to mass, but mass and weight are different measurements. The force of gravity also decreases as the distance between two objects increases.
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a 120kg person stands on the surface of an asteroid of radius 600m. the person leaves the surface with 15J of kinetic energy and reached a maximum height of 300m above the asteroid's surface. what is the mass of the asteroid.

i am stuck please help me with the problem.

15-GMm/r(i) = 0 - GMm/r(f)

plug in and solve for an unknown mass?
 
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That looks like the right idea.
 

1. What is gravitation?

Gravitation is a natural phenomenon by which all objects with mass are brought towards one another. It is responsible for the force of attraction between objects in the universe, such as planets, stars, and galaxies.

2. Who discovered the law of gravitation?

The law of gravitation was first discovered by Sir Isaac Newton in 1687. He published his theory of gravity in his famous work, "Principia Mathematica".

3. How does mass affect the force of gravity?

The force of gravity is directly proportional to the mass of the objects involved. This means that the greater the mass of an object, the greater the force of gravity it exerts on other objects.

4. What is the difference between mass and weight?

Mass is a measure of the amount of matter an object contains, while weight is a measure of the force of gravity acting on an object. Mass remains constant regardless of location, while weight can change depending on the strength of gravity at a particular location.

5. How does distance affect the force of gravity?

The force of gravity decreases as the distance between two objects increases. This is described by the inverse-square law, which states that the force of gravity is inversely proportional to the square of the distance between two objects.

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