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

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.

Ill take (b) for $200:

 

Graph for a hollow sphere:

 

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