minimax

**1. Homework Statement**

A block with a mass of 8.7kg slides down a hill with an angle of 27.4 degrees at an initial velocity of 1.66m/s. The friction uk between the block and hill is 0.62. What is the distance the block slides down the hill?

I solved the equation using components and kinetics, but I'm not quite sure

**how to solve it using energy conservation.**

**2. Homework Equations**

For energy:

I know

initial energy=final energy

KE+PE= ? +ukNx ?????

**3. The Attempt at a Solution**

Here is my work solving it with components

N(0,1)+mg(sin27.4, -cos27.4)+ukN (-1,0)=ma (1,0)

N=mgcos27.4

a=gsin27.4-ukmgcos27.4

=-.89m/s^2

Vf^2=Vi^2+2ad

d=-vo^2/2a

d=1.56m

hopefully doing it this way is also right. Thank you for any help!