Find the work done by the gravitaional force F(x, y,z)=−(GMm)r|r|3 exerted on a particle with mass m from the point (1,0,0) to the point (1,0,5) along a piecewise-smooth curve C. Here r=xi+yj+zk is the vector that connects the mass M (located at the origin) and mass m (moving on the curve C) and G is the Newton's constant. Use the fact that the gravitational field is a conservative field and also use G=1, mass M=6 and m=1. Note that these numbers are not realistic and they are chosen in such a way that your calculations are made easier.

Anonzero net force acts on a particle and does work. which one of the following statements is true? the kinetic energy of the particle changes, but the speed of the particle does not change. the kinetic energy of the particle does not change, but the speed of the particle does change. the kinetic energy of the particle changes, but the velocity of the particle does not change. the kinetic energy and the speed of the particle change, but the velocity of the particle does not change. the kinetic energy, speed, and velocity of the particle change.