A horizontal force P is exerted on a 20-kg box to slide it up a 30^o incline. Assume that the friction force opposing the motion is 80 N. (Use your knowledge of Newton's Laws to solve this problem, and don't forget to break vectors into components when relevant) 

A. Break the force due to gravity into components. 

B. Calculate Px the component of the push in the x direction by writing an equation for newton's second law. Assume that the acceleration is 0 m/s2. 

C. Using your knowledge of right triangles calculate the force P and its Py component using the horizontal component Px you found in part B. 

D. Using the component of the push for in the y-direction Py and the component of the gravity in the y direction calculate the normal force. 

E. Determine the value for the static coefficient of friction assuming that the acceleration in x direction is 0m/s2