Question

Question 4 In the figure, a frictionless roller coaster car of mass m = 815 kg tops the first hill with speed Vo = 18.0 m/s at height h = 41.0 m. What is the speed of the car at (a) point A, (b) point B, and (c) point C? (d) How high will the car go on the last hill, which is too high for it to cross? Use g=9.81 m/s2 First hill B h h h/2 (a) Number Units > (b) Number Units (c) Number Units (d) Number Units

Answer 1

40) m=815kg Vo=18 m/s h=41m 2.) As height of first hill and point A are same So VA = Vo = 18 m/s By conservation of eneng mgh + 1 m ² = - VA=Vo zum ? tu bu b.) horous so cagarasuos ha unoby = rm 2 + y bu m arm + Y bu mi → mgr +12 m² = 12 mv 2 ² -) VB = Jgh th? = 26.94 m/s 2 Anso Co) For Point C £mv? + mgh = 1 / 2 m 2 zht u bor s =31F 33.6 m/s Anso d) By conservation of energy might 1 2 mv 2 = - * hmax mg honas 2 Iht vo zg =57.5m Ans.