A particle of mass [tex]M[/tex] moves along a straight line with initial speed [tex]v_i[/tex]. A force of magnitude [tex]F[/tex]pushes the particle a distance [tex]D[/tex] along the direction of its motion. assume that the particle's mass is increased to 3M. B.)By what multiplicative factor [tex]R_k[/tex] does the initial kinetic energy increase, and by what multiplicative factor [tex]R_w[/tex] does the work done by the force increase (with respect to the case when the particle had a mass [tex]M[/tex]) If one of the quantities doubles, for instance, it would increase by a factor of 2. If a quantity stays the same, then the multiplicative factor would be 1. You should enter the two factors separated by a comma. [tex]R_k,R_w = ___________ [/tex] this is what i think: to find [tex]R_k[/tex] i must use this formula: 1/2*m*v^2 to find [tex]R_W[/tex], i must use this formula: W=f*d okay, now to find r_k: 1/2*M*v^2 = 3M (cancel everything and get only 3) now to find r_w: [tex]W = 1/2*M*v_i^2+F*D -1/2*M*v_i^2 = 1/2*3M*v_i^2+F*D -1/2*3M*v_i^2[/tex] <-- i get 0, is this correct? i'm pretty sure i'm doing it incorrectly, but i dont know how to correct it. can someone help?