Please help showing work

Topic 5 Application: Application of Two-Dimensional Forces Now that you've practiced equilibrium and non-equilibrium situations with angled forces, you can demonstrate your knowledge by completing the following application questions. Answer the following questions. Be sure to show all work and include units in all calculations. Once you have finished answering the questions, submit your responses to the dropbox. 1 . A man pulls a 85 kg box at a constant speed across the floor. He applies a 250 N force at an angle of 30" a. Draw a free body diagram and determine the magnitudes and directions of (30" the horizontal and vertical components of the pull force. b. Determine the magnitude and direction of the frictional force opposing the motion. Use the summation of the forces in the x-direction to find your answer c. What is the magnitude of the normal force? Use the summation of the forces in the y-direction to find your answer 2. A person pushes on a 50 kg desk with a 200 N force acting at a 40' angle below the horizontal. The desk does not budge. a. Draw a free body diagram of the desk. b. Determine the magnitudes and directions of the horizontal and vertical components of the push force. c. Determine the magnitude of the frictional force. Use the summation of the forces in the x-direction to find your answer. d. Determine the magnitude of the normal force. Use the summation of the forces in the y-direction to find your answer. 3. A girl pushes a 10 kg sled with a force of 75 N downward at an angle of 35 below the horizontal on a frictionless surface. a. Draw a free body diagram and calculate the vertical and horizontal components of the push force. b. Calculate the acceleration of the sled. Use the summation of the forces in the x-direction to find your answer. c. What is the speed of the sled after it has moved 15 meters from rest? 4 . A person pushes a 14.0 kg lawnmower at a constant speed with a force of 88.0 N directed along the handle, which is at an angle of 450 to the horizontal a. Draw a free body diagram and calculate the vertical and horizontal components of the push force on the mower b. Calculate the friction force on the mower. Use the summation of the forces in the x-direction and the y-direction to find your