Velocity of a Roller Coaster Ranking Task

Six roller-coaster carts pass over the same semicircular “bump.” The mass M of each cart (including passenger) and the normal force n of the track on the cart at the top of each bump are given in the figures.

Rank the speeds of the different carts as each passes over the top of the bump.

=>v²/R  = g – N/m = (9.8-N/m;)

a) 200N, 400kg ;

b) 400N, 100kg

c) 300N,300kg

d) 800N, 100kg

e) 800N,800kg

f) 400N,200kg

The ranking is in the order of decreasing speed

a,          c&e,           f,           b,           d