Physics gravitational questioon

In summary: From this, we can find the point where the gravitational force from the Earth is 2 times that of the moon by setting the equations for the two forces equal to each other and solving for R. In summary, to find the point where the gravitational force from the Earth is 2 times that of the moon, use Newton's law of universal gravitation and set the force of gravity from the Earth equal to twice the force from the moon. This can be solved for the distance R from the centre of the Earth, using the given values for the masses of the Earth and moon and the radius of the Earth and moon.
  • #1
crystal5428
2
0
I need a help.

Find the point where the gravitational force from the Earth is 2 times of that from moon.
 
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  • #2
crystal5428 said:
I need a help.

Find the point where the gravitational force from the Earth is 2 times of that from moon.
What is the force of gravity at a point Re from the centre of the earth? What is the force of gravity at a point Rm from the centre of the moon? What is Rm at a point on a line between the centres of the Earth and moon that is Re from the centre of the earth?

AM
 
  • #3
only the mass of earth, mass of moon and radius of moon and Earth is given.
mass of earth=5.98*10(to the power of 24)
mass of moon=7.35*10(to the power of 22)
radius of Earth and moon=3.84*10(to the power of 8)
 
  • #4
crystal5428 said:
only the mass of earth, mass of moon and radius of moon and Earth is given.
mass of earth=5.98*10(to the power of 24)
mass of moon=7.35*10(to the power of 22)
radius of Earth and moon=3.84*10(to the power of 8)
The distance between the centres of the Earth and moon is 3.84 x 10^8 m or 3.84 x 10^5 km.

Just use Newton's law of universal gravitation to express the force of gravity from the Earth at a distance R from the centre of the Earth (R>radius of the earth). Same for the moon. Then set the force of gravity of the Earth equal to twice the force of gravity of the moon.

AM
 

What is the law of universal gravitation?

The law of universal gravitation states that every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

How does gravity affect objects on Earth?

Gravity is the force that pulls objects towards the center of the Earth. This force is what keeps objects on the Earth's surface and also causes objects to fall towards the ground when dropped.

What is the difference between mass and weight?

Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity acting on an object. Mass is constant, but weight can vary depending on the strength of the gravitational force.

What is the significance of the gravitational constant?

The gravitational constant, denoted by G, is a fundamental constant in physics that determines the strength of the gravitational force between two objects. It is used in the calculation of force of attraction between objects and has a value of 6.674 x 10^-11 Nm^2/kg^2.

How does gravity affect the motion of planets and other celestial bodies?

Gravity plays a crucial role in the motion of planets and other celestial bodies. The gravitational pull between these objects and the Sun keeps them in orbit, while the gravitational interactions between planets can also affect their orbits.

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