Physics

Problem

10\,\text{kg}

box is projected upward along a rough incline that makes an angle of

30^{\circ}

with the horizontal with an initial speed of

6\,\text{m s}^{-1}

. The coefficient of kinetic friction between the box and the incline is

0.20

. Taking

g = 9.8\,\text{m s}^{-2}

, determine the distance the box travels up the incline before momentarily coming to rest.