Find speed of rollercoaster on point on loop

[aeromat]

Homework Statement

1000kg rollercoaster starts from point A on a frictionless track with the profile shown below.


c) Determine the rollercoaster's speed at point B? <-- the point on the loop itself


Will it work if I apply Conservation of Energy, being:

from A, Ek is 0 (Starting point).

0 + (m)(g)(hA) = 1/2(m)(vB)^2 + (m)(g)(hB)?

Will this equation work, even though it is at a loop? See attachment for the picture.

 

[Doc Al]

Will this equation work, even though it is at a loop?

Sure.

 

[aeromat]

But how does that make sense though?

 

[Doc Al]

But how does that make sense though?

With no friction, mechanical energy is conserved. What are you thinking that doesn't seem to make sense?

 

[cupid.callin]

and you can take zero potential at level of A so that mgh_A = 0