A 22.0 kg box is sliding down on an incline set at (44) degrees up from horizontal. The coefficient of kinetic friction between the box and the incline is (.27). Find the acceleration of the box. Give your answer in m/s2 and with 3 significant figures.

Answer 1

mass does not matter, call it m

normal force = m g cos 44
max friction force up slope = .27 m g cos 44

gravity force down slope = m g sin 44
so

m g sin 44 - .27 m g cos 44 = m a

(sin 44 - .27 cos 44) 9.81 = a