A particle of mass M moves along a straight line with initialspeed vi. A force of magnitude Fpushes the particle a distance Dalong the direction of its motion.
A) Find vf, the final speed of the particle after it hastraveled a distance D. Express the final speed in terms of vi, M,F, and D.
B) By what multiplicative factor RK does the initial kineticenergy increase, and by what multiplicative factor RW does the workdone by the force increase (with respect to the case when theparticle had a mass M)? If one of the quantities doubles, forinstance, it would increase by a factor of 2. If a quantity staysthe same, then the multiplicative factor would be 1. You shouldenter the two factors separated by a comma.
C) By what factor RK does the initial kinetic energy increase(with respect to the first situation, with mass M and speed vi),and by what factor RW does the work done by the force increase?