By definition, what is meant by central force ? [2]

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By definition, what is meant by central force ? [2]

 

What is the equivalent definition in terms of potential energy of the system?[2]

 

Give the mathematical relation that links the force in view of the two definitions. [2]

 

Give three examples of central forces [3]

 

State two properties that have a particle subjected only to a central force.[2]

 

Angular momentum plays a key role in dealing with central forces because it is constant over time. Suppose the angular momentum, L, of a point mass is given by:

 

        L = r x p 

 

By nature of the cross product, what two properties does L have? [2]

 

Show that: If a particle is subject to a central force only, then its angular momentum is conserved i.e. If V(r) = V(r), then dL/dt = 0. [5]

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