An 8.70-kg block slides with an initial speed of 1.61 m/s up a ramp inclined at an angle of 27.4 ∘ 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.
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Initial KE = 1/2 (m*v^2) = 11.2756 Joules.
(11.2756 x 0.62) = 6.991 Joules.
Height = 6.991/(mg) = 0.082 metre.
Distance up ramp = (0.082/sin 27.4) = 0.1782 metre.