Inclined Plane Physics #2

Question

A 3.3 kg block is dragged up a hill by a 40 N force pointing uphill. If the hill is inclined at 11.5 and the coefficient of friction is 0.1 what is the acceleration?

Answer 1

if mass (m) of the block (3.3 kg), g = acceleration due to gravity (9.8 meters/sec²), u = coefficient of friction (.1), c = angle of inclination (11.5 degrees) and we assume that the block is traveling up the hill due to the 40 N force. a = acceleration of the block (meters/sec²)

The F (sum of forces) = ma

F = 40 - (3.3)(9.8)sin(c) - (.1)(3.3)(9.8)cos(c) = ma = 3.3a

or 30.38 = 3.3a then a = 9.2 m/s²