Physics  Mechanics and Ocsillatory Motion
posted by Sara on .
An 8.70 kg block slides with an initial speed of 1.56 m/s up a ramp inclined at an angle of 28.4 with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.62. Use energy conservation to find the distance the block slides before coming to rest.
Can anyone help? I am totally stuck on how to solve this problem...

well, things slow it down: 1) friction 2) the component of gravity trying to make the block slide down the plane.
Initial KE=1/2 m vi^2
work done on gravity by movement: m*g*distance/sinTheta
work done on friction: mu*mg*CosTheta*distance.
so, setting initial KE to all the others,
1/2 m vi^2= mg*distance/sinTheta+mu*mg*distance*cosTheta
solve for distance.