Say a block was on a ramp, i know that there is peg at the top and KeT at the bottom but it’s going from energy to two-dimensional motion and lands at a certain distance, why does decreasing the height cause the distance the block lands to decrease?
So the important thing in this situation, where we switch from conservation of energy principles to 2-D motion, is the velocity at which the block leaves the ramp.
If we decrease the height of the ramp, we decrease the amount of kinetic energy that can be gain by sliding down. That means we decrease the velocity that the block flies off the ramp. If it isn’t going as fast, it won’t be able to fly as far!