A student moves a box f books by attaching a rope to the box and pulling with a force of 90.0 N at an angle of 30.0°. The box of books has a mass of 20.0 kg and the coefficient of friction of kinetic friction between the bottom of the box and the sidewalk is 0.50
a. plan. choose the equation(s) or situation
First find the normal force Fn by applying the first condition of equilibrium in the vertical direction. ΣFy=0
Calculate the force of kinetic friction in the box.
µk=Fk/Fn
b.Apply Newton's second law along the horizintal Direction to find the acceleration of the box. Σfx=ma
c.Choose a convenient coordinate system and find the x and y components of all forces.( refer to the diagram)
d. find the y component of Fapp.
Fapp=?
e.find the x component of Fapp.
Fapp
f. Use the mass to find the force of gravity (g=9.8m/s²) acting on the box
Fg= m×g