i'm need some help

[butz3]

i'm not sure how to begin this problem. "a cart that is moving at 8:00m/s heads up a frictionless ramp inclined 10.0 degrees from the horizontal. how far up the ramp should it go?" also i want to know if i'm on the right track with this question "give an example of each of the following objects or systems. a) and object with a negative potential enery. " i said an object at rest. b) " an object with zero kinetic energy" i said a ball stopped in a catchers mitt. c) a system that does mechanical work and loses energy. i said an open , non isolated system. and d) themal energy being produced by a system. i said a can of pop on a beach, fast moving molecules. any help would be great as i'm trying to teach my self. its kind of hard thanks

[ek]

1/2mv^2 = mgsinxd

1/2v^2 = gsinxd

d = v^2/2gsinx

That is one way you can solve it. There is probably more than one way.

I might have screwed up though, who knows. In fact I probably did. I'm going to try and do it another way.

Here's another way, easier I guess:

a = gsinx (it's going up at a ten degree angle, so the component of gravity is gsinx)

v^2 = 2ad

d = v^2/2gsinx

Same thing. Guess I was right after initially screwing up sines and cosines. It happens to the best of us.