apte Homework x Y Consider the track and cart. x e search o on points PreMous An

Question

apte Homework x Y Consider the track and cart. x e search o on points PreMous Answers Goch 27PO67. Consider the track and carts in the figure below with mi 11 kg, m2 19 kg, and r 0.28 m, but the carts stick together after the collision. (a Find the he ght h from which cart 1 would need to start to make sure that both carts complete the loop without leaving the track. (b) Find the height needed if instead the more massive cart is made to colide with the smaller cart. Answer Sae Progass Practice Another version Submit Assgnment Save Assignmen Progess

Explanation / Answer

TE = PE + KE = mgh + ½mv²

V = ROOT(RG)

TE = 30*9.8*0.56+1/2*30*0.28*9.8 = 205.8 j

AT THE BOTTOM

KE = 1/2mv^2 = 205.8

v = 3.7 m/s

a) conservation of momentum

11*u = 30*3.7

u = 10.1 m/s

h = 1/2mu^2/mg = u^2/2g = 5.2 m

b) from conservation of momentum

19*u = 30*3.7

u = 5.84 m/s

h = 1.74 m

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