Universal Gravitation and/or Tidal Force

In summary, the conversation discusses the effect of a single moon on an Earth-like planet, which creates tides and slows down the planet's rotation. The planet's rate of rotation is currently decreasing at a rate of 7.00 x 10-7 radians/sec/century. The mass and diameter of the planet are 6 x 1024 kg and 12,600 km, respectively, and the moon's mass is 7.35 x 1022 kg. The question asks for the rate at which the moon's distance from the center of the planet is increasing, assuming the planet is a uniformly dense sphere. The possible equations discussed include gravitational force, universal gravitation, and tidal force. It is suggested to consider
  • #1
catphysics
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Homework Statement



ANY HELP IS WELCOMED[/B]

The single moon of an Earth-like planet creates tides on the planet that are slowing the planet’s rotation. The planet’s rate of rotation is decreasing at a rate of 7.00 x 10-7 radians/sec/century. The mass of the planet is 6 x 1024 kg, and its diameter is 12,600 km. The radius of the circular orbit of the moon about the planet is 386,000 km. If the moon’s mass is 7.35 x 1022 kg, at what rate is the moon’s distance from the center of the planet increasing? [You may assume that the planet is a uniformly dense sphere.] You must show your work on an attached sheet.

∆r/∆t= __________________ km/year

Homework Equations



Graviational Force/ Universal Graviation
possible tidal force?

The Attempt at a Solution



GMm/r^2 to find acceleration

then use that acceleration in tidal force equation?
 
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  • #2
Is there perhaps a quantity that is conserved in this planet-moon system?
 

What is universal gravitation?

Universal gravitation is a fundamental physical law proposed by Sir Isaac Newton, which 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.

What is the difference between universal gravitation and tidal force?

Tidal force is a secondary effect of universal gravitation, where the gravitational pull of a larger object (such as a planet or moon) on a smaller object (such as a satellite or ocean) causes it to deform or create tides. Universal gravitation is the overall force of attraction between any two objects in the universe, while tidal force is a specific manifestation of this force on a smaller scale.

How does universal gravitation affect the motion of objects in space?

Universal gravitation is responsible for the orbits of celestial bodies, such as planets orbiting around a star or moons orbiting around a planet. The force of gravity between these objects keeps them in stable, elliptical orbits.

What factors affect the strength of universal gravitation?

The strength of the gravitational force between two objects depends on their masses and the distance between them. The greater the mass of the objects and the closer they are to each other, the stronger the gravitational force will be.

What are some real-life examples of universal gravitation and tidal force?

Some examples of universal gravitation include the moon orbiting the Earth, the Earth orbiting the sun, and the gravitational pull between two people standing on the ground. Examples of tidal force include the ocean tides caused by the moon's gravitational pull and the stretching of Earth's crust due to the moon's gravitational pull.

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