1)A single conservative force acting on a particle within a system varies as ๐นโ = (โ๐ด๐ฅ + ๐ต๐ฅ
2
)๐, ฬ
where A and B are constants, ๐นโ is in newtons, and x is in meters. (a) Calculate the potential
energy function U(x) associated with this force for the system, taking U=0 at x=0. Find (b)
the change in potential energy and (c) the change in kinetic energy of the system as the
particle moves from x=2m to x-3m.
Expression of conservative force,
(a) Potential energy,
At x = 0, U = 0 (given)
(b) Change in potential energy as x changes from 2 to 3
(c) If we consider the particle alone as a system, the change in its kinetic energy is the work done by the force on the particle:
For the entire system of which this particle is a member, this work is internal work and equal to the negative of the change in potential energy of the system:
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