6. A worker pushes a 12 kg box of materials with a constant velocity along the sidewalk by applying a horizontal force of 96 N. a. Draw a free body diagram of the box including all of the following forces. b. Calculate the weight of the box. c. Calculate the normal force acting on the box. d. Calculate the frictional force. e. Calculate the coefficient of friction between the box and the sidewalk. 7. A 10 kg wooden crate sits at the top of a wooden ramp with slope 30. A wooden object on a wooden surface has a static coefficient of friction of 0.40. a. Draw a diagram showing the box. Using arrows, draw all of the forces acting on the box. (Not frictionless!) b. What is the weight of the box? c. Will the box slide down the ramp or sit still? 8. A 1 gram foam dart fired from a Nerf gun has a muzzle velocity of 15 m/s. A man shoots the gun holding it at 1.6 m above the ground. a. How long is the dart airborne? b. How far does the dart travel before hitting the ground? 9. Unofficially, the fastest soccer ball ever recorded traveled at about 59 m/s. For the following, assume the ball was kicked at an angle of 25.0 above the horizontal. a. Calculate the vertical and horizontal components of the ball's initial velocity. b. Calculate the amount of time the ball will spend in the air. c. Calculate the range (horizontal distance) the ball travels when it hits the ground