Question

A force ?(?) = −5.0?²+7.0? Newtons acts on a particle.

a) How much work does the force do on the particle as it moves from ? = 2.0m to ? = 5.0m, in Joules?

b) Find the potential energy due to this force, at position x = 2, in Joules, by finding the potential energy as a function of x, U(x). You should use the reference point of the potential energy being 0 when x = 0.

c) Using either the work-kinetic energy theorem, or the conservation of energy (either method will give you the right answer), what is the speed, in meters per second, of a particle with mass m = 10 kg, at x = 5.0 meters, if it has an initial speed of |v₀| = 7.0 m/s at position x = 2.0 meters, and all forces other than the one given in this problem cancel out?

Answer 1

Solution in the uploaded images