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## Homework Statement

Hi.

The problem is "A wooden block of mass m slides with an initial speed of vi up a straight incline that makes an angle of theta with the horizontal. If the incline is rough with a coefficient of kinetic friction uk, determine the maximum height it rises in terms of h found in part a (which was H = vi^2/2g)"

## Homework Equations

conservation of energy

You can only use m (mass of block), vi (initial velocity), theta, and g (gravity)

## The Attempt at a Solution

KE at the bottom = PE at the top + Work.

mgh + Fd = 1/2mv^2

h = [mvi^2 - ukmgcos(theta)d]/mg

Problem is, I don't know what d is and it can't be part of my final answer. I know it's the distance that the block travels up the ramp, but how do I figure that out?

Also, since it says in terms of h found in part a, does that mean I set everything equal to vi^2/2g?

How would I do this with a hoop with radius R?