See attached file for full problem description.
Previously it was considered a force of the form f = ixy + jcx^2 + kz^3, and found a value of "c" from the following list such that this was a conservative force.
Note: there must really be extra 'constants' in front of each term, with magnitude 1 but the proper units (such as

A shot-putter puts a shot (weight=0.71 N) that leaves his hand at a distance of 1.52 m above the ground.
a.) What is the work done by the gravitational force when the shot has risen to a height of 2.13 m above the ground.
d.) What is the change in the gravitational potentialenergy of the shot.

The force exerted by a one-dimensional spring, fixed at one end, is F=-kx, where x is the displacement of the other end from its equilibrium position. Assuming that this force is conservative (which it is) show that the corresponding potentialenergy is U=1/2kx^2, if we choose U to be zero at the equilibrium position. (b) Suppos

The speed of a 4.0kg object is given by (2t) m/s, where t is in seconds. At what rate is the resultant force on this object doing work at t = 1 second?
Answers:
a) 48 W
b) 40 W
c) 56 W
d) 16 W
A 10kg object is initially at the top of a rise, at point A. It then moves down to point B. Choose point B to be your zero leve

An electron of mass m is in a circular orbit in the potential U=0.5 k r^2. Using Bohr's quantization rule, find the allowed orbital radii andenergy levels of this electron.

A particle at rest is attracted toward a center of force according to the relation F=-mk^2/x^33. Calculate the time required for the particle to reach the force center from a distance d.

A particle of mass 50g moves under an attractive central force of magnitude 4r^3 dynes. The angular momentum is equal to l,000 g*cm/s.
a) Find the effective potentialenergy.
b) Indicate on a sketch of the effective potential the total energy for circular motion.
c) The radius of the particle's orbit varies between ro an