Problem

A particle of mass m moving in the xy-plane is confined by a two-dimensional potential fun...

A particle of mass m moving in the xy-plane is confined by a two-dimensional potential function,

U(x, y) = ½k(x2 + y2).

a) Derive an expression for the net force ,

b) Find the equilibrium point on the xy-plane.

c) Describe qualitatively the effect of net force.

d) What is the magnitude of the net force on the particle at the coordinate (3.00,4.00) in cm if k = 10.0 N/cm?

e) What are the turning points if the particle has 10.0 J of total mechanical energy?

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Solutions For Problems in Chapter 6

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