A block is on a frictionless ramp and has a mass of 50g and h is 20cm. The block has an initial velocity of 2 m/s, and slides down. If the coefficient of kinetic friction between the block and the flat portion of the ramp is .2, how far does the block travel along the flat portion of the ramp?

i know that the potential energy and the kinetic energy equal each other given the values of

*m*,

*h, v*. but could there be an instance where they would give an initial velocity of say, 3m/s, and therefore would not equal the potential energy?? if so, which value (p energy or k energy) would you use to get the answer?

also, now that i look at this question more, it doesn't make sense. how can the kinetic energy at the top of the ramp (due to its initial velocity) equal the potential energy? i thought the k energy would equal the p energy only the block reaches the bottom... sorry if i lost you... but any input would be appreciated!