Do A and C have same or different KE at the end?

[JessicaHelena]

Homework Statement

Please look at the attached screenshot.

Homework Equations

Assuming the ramp is frictionless, Ei = Ef and thus mgh = KE ( = 1/2mv^2, which isn't really necessary here)

The Attempt at a Solution

I'm okay with all other examples except for A and C. From the answer template given, I don't think I'm allowed to let two different blocks have the same final KE, but even though C travels a shorter horizontal distance, the conservation of energy tells me they should have the same KE at the end (bc their mgh is the same)! Am I missing something here?

 

[BvU]

You are correct and the answer template is a bit misleading. Conclusion: A and C can be entered in the order of your choice. Or in one box if the work is judged by a human instead of a counting machine.

 

[neilparker62]

I'm okay with all other examples except for A and C. From the answer template given, I don't think I'm allowed to let two different blocks have the same final KE, but even though C travels a shorter horizontal distance, the conservation of energy tells me they should have the same KE at the end (bc their mgh is the same)! Am I missing something here?

I don't think so - since there are no losses - the final KE should be same as initial PE - mgh as you indicated. I guess in the template it wouldn't matter if you rank AC or CA in either order.

 

[JessicaHelena]

Alright, I'll put it that way then. Thank you!