Graphing Info. NEED HELP!!!

[Lil Pac]

hey dudes

 

i hope its not too much trouble but i have a few questions that i don't know how to answer and was wondering if anyone could help;

 

Draw graphs to show relationship between:

 

a) FORCE and ACCELERATION for an object in circular motion

b) MASS and DISTANCE for forces due to gravitation

c) The PERIOD of orbit of a satellite and its ALTITUDE

 

 

hope its not too much trouble, thankz for ur help

 

Lil' Pac

[James R]

What are the equations which relate the quantities in each of your questions?

 

Let me do the first one for you.

 

An object of mass m in circular motion of radius r at constant speed v has a centripetal force on it, given by:

 

F = mv^2/r

 

It's acceleration is:

 

a = F/m = v^2/r

 

The relationship between the force and acceleration is F = ma.

 

So, the graph of F against a will be a straight line through the origin with slope m.

 

Does that help?

 

Now try the other two questions and tell me what you think.

[MetaFrizzics]

Ill take (b) for $200:

 

Graph for a hollow sphere:

 

The Failure of the Sphere Theorem for a discrete number of particles: