A 301-kg motorcycle is accelerating up along a ramp that is inclined 30.0º above the horizontal. The propulsion force pushing the motorcycle up the ramp is 3420 N, and air resistance produces a force of 230 N that opposes the motion. Find the magnitude of the motorcycle's acceleration.

Answer 1

x-axis is directed along F = 3420 N

x: ma=F –F(res) - mg•sinα,
a= (F-F(res)}/m - g•sin α =
=(3420-230)/301 – 9.8•sin30 =
= 5.7 m/s²