Assuming that the car in problem 12 is initially at rest and holds n men, each of mass m, prove that if the men run with relative velocity v_(rel) and jump in succession they can impart to the car a greater velocity than if they all run and jump simultaneously. [Hint : When the men run together, the effect is the same as for one man of mass nm. :.Delta v=(nm)/(M+nm)v_(rel.) When they run and jump in succession, Deltav = sum_(i=1)^(i=n) =(mv_(rel))/(M+im)=mv_(rel)((1)/(M+m)+(1)/(M+2m)+(1)/(M+3m)+...+(1)/(M+nm))]

Assuming that the car in problem 12 is initially at rest and holds n m

1.	Assuming that the car in problem 12 is initially at rest and holds n men, each of mass m, prove that if the men run with relative velocity v_(rel) and jump in succession they can impart to the car a greater velocity than if they all run and jump simultaneously. [Hint : When the men run together, the effect is the same as for one man of mass nm. :.Delta v=(nm)/(M+nm)v_(rel.) When they run and jump in succession, Deltav = sum_(i=1)^(i=n) =(mv_(rel))/(M+im)=mv_(rel)((1)/(M+m)+(1)/(M+2m)+(1)/(M+3m)+...+(1)/(M+nm))]
Answer» ANSWER :N//a