Universal Gravitation and/or Tidal Force

Click For Summary
SUMMARY

The discussion focuses on calculating the rate at which the moon's distance from the center of an Earth-like planet is increasing due to tidal forces. Given parameters include the planet's mass (6 x 1024 kg), diameter (12,600 km), and the moon's mass (7.35 x 1022 kg), with the planet's rotation slowing at a rate of 7.00 x 10-7 radians/sec/century. The gravitational force equation GMm/r2 is utilized to find acceleration, which is then applied to analyze tidal forces affecting the moon's orbit.

PREREQUISITES
  • Understanding of gravitational force and Universal Gravitation principles
  • Knowledge of tidal forces and their effects on celestial bodies
  • Familiarity with basic physics equations, particularly GMm/r2
  • Concept of conservation laws in planetary systems
NEXT STEPS
  • Calculate the tidal force acting on the moon using the tidal force equation
  • Explore the concept of angular momentum conservation in the planet-moon system
  • Investigate the effects of tidal locking on planetary rotation and moon distance
  • Learn about the implications of tidal forces on exoplanetary systems
USEFUL FOR

Astronomy students, astrophysicists, and educators interested in celestial mechanics and the dynamics of planetary systems will benefit from this discussion.

catphysics
Messages
1
Reaction score
0

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?
 
Physics news on Phys.org
Is there perhaps a quantity that is conserved in this planet-moon system?
 

Similar threads

Universal Gravitation and/or Tidal Forces?
  • · Replies 1 ·
Replies
1
Views
1K
Calculating Tidal Range (Gravitation)
  • · Replies 12 ·
Replies
12
Views
2K
Solar System Forces -- Simulating the planetary orbits for my project
  • · Replies 18 ·
Replies
18
Views
2K
Finding distance between Earth and Moon in gravitational fields
  • · Replies 5 ·
Replies
5
Views
2K
Ratio of the Magnitude of gravitational force?
  • · Replies 5 ·
Replies
5
Views
5K
Determine the mass of the planet using Newton’s Law of Universal Gravitation
  • · Replies 2 ·
Replies
2
Views
3K
Where between the Moon and the Earth is the gravitational potential=0 ?
  • · Replies 21 ·
Replies
21
Views
3K
Universal Gravitation problem, help with final statement.
  • · Replies 18 ·
Replies
18
Views
2K
Undergrad How our Moon and Sun may affect Earth's equatorial bulge
  • · Replies 3 ·
Replies
3
Views
601
Finding the net gravitational force on a rocket....
  • · Replies 5 ·
Replies
5
Views
2K