Circular Motion & Universal Gravitation: Gravity Between

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SUMMARY

The discussion focuses on calculating the changes in gravitational force between two swarms of krill using the Law of Universal Gravitation. Initially, each swarm contains 1.200×107 krill, and the distance between them is 15.0 meters. The gravitational force changes based on the addition of 9.231×106 krill to each swarm, the transfer of krill between swarms, and varying distances such as 6.52 meters and 45.00 meters. The calculations utilize the formula F=G(m1m2/r2) with G=6.67x10-11.

PREREQUISITES
  • Understanding of the Law of Universal Gravitation
  • Proficiency in proportional reasoning
  • Familiarity with gravitational force calculations
  • Basic knowledge of mass and distance relationships in physics
NEXT STEPS
  • Calculate gravitational force changes with varying swarm sizes using F=G(m1m2/r2)
  • Explore the effects of distance on gravitational attraction
  • Investigate the impact of mass transfer between two bodies on gravitational force
  • Learn about gravitational force in different contexts, such as celestial bodies
USEFUL FOR

Students studying physics, particularly those focusing on gravitational forces and motion, as well as educators seeking to explain the principles of universal gravitation in practical scenarios.

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1. Homework Statement

Two "swarms" of krill each contain 1.200×107 identical individuals. The centers of gravity of the "swarms" are 15.0 meters apart. By what factor will the gravitational force of attraction between the two "swarms" change, if 9.231×106 new krill join each "swarm?"

Use the Law of Universal Gravitation and proportional reasoning. Also, remember that any individual factor of change is simply the new value divided by the old value. A factor is the number you must multiply your old value by to get your new value.

2. By what factor will the gravitational force of attraction between the two original "swarms" change, if 9.231×106 krill move from one swarm to the other?

Use the Law of Universal Gravitation and proportional reasoning

3.By what factor will the gravitational force of attraction between the two original "swarms" change, if 1.080×107 new krill join each "swarm", and the swarms move until they are 6.52 meters apart?

Use the Law of Universal Gravitation and proportional reasoning

4.By what factor will the gravitational force of attraction between the two original "swarms" change, if the swarms drift to 45.00 meters apart?

Use the Law of Universal Gravitation and proportional reasoning




Homework Equations


F=G(m1m2/r^2)
G=6.67x10^-11
F=ma
a=v^2/r
a=4pi^2r/T^2
r=radius
T=period or time
etc...

The Attempt at a Solution


no attempts
 
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Welcome to PF.

How would you think to start?

For instance by what percentage does the effective mass of a swarm increase?
 

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