A 20 kg block slides with an initial speed of 11 m/s up a ramp inclined at an angle of 25o with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.8. Use energy conservation to find the distance along the incline that the block slides before coming to rest.

Answer 1

PE +KE = W(fr)
m•g•h + m•v^2/2 = k•m•g•cosα•s,
h = s•sinα,
s = m•v^2/2•g•(k•cosα – sinα)