Free Body Vectors

Question: 

A 5 kg lawn mower is being pushed with an applied force of F\(_a\) = 20 N, at an angle of \(\theta\) . There is a frictional force, F\(_f\) opposing the movement of the lawn mower of 10 N. Given that the lawn mower is accelerating at 0.4 m/s\(^2\):

Free body diagram physics example problem

  • Find the angle \(\theta\)
  • Find the magnitude of the normal force, F\(_N\)