Problem Solving: Free-Body Diagrams and Newton's Laws 1. Draw a sketch of the situation. 2. Consider only one object (at a time), and draw a free-body diagram for that body, showing all the forces acting on that body. Do not show any forces that the body exerts on other bodies. If several bodies are involved, draw a free-body diagram for each body separately, showing all the forces acting on that body. 3. Newton's second law involves vectors, and it is usually important to resolve vectors into components. Choose an x and y axis in a way that simplifies the calculation. 4. For each body, Newton's second law can be applied to the x and y components separately. That is the x component of the net force on that body will be related to the xcomponent of that body's acceleration: 2F; = ma.I , and similarly for the ydirection. 5. Solve the equation or equations for the unknown(s). Apply these steps Use the steps outlined above to find the magnitude of the acceleration a. of a chair and the magnitude of the normal force F N acting on the chair: Yusef pushes a chair of mass m = 45.0 kg across a carpeted oor with a force Fp (the subscript 'p' here is lowercase and throughout the question) of magnitude Fp = 170 N directed at 0 = 35.0 degrees below the horizontal (gure 1). The magnitude of the kinetic frictional force between the carpet and the chair IS Fk = 91.6N. When solving problems involving forces and Newton's laws. the following summary of things to do will start your Lnind thinking about getting involved in the problem at and. Imvl Imus i , EFy=FNFGFpsin0=rm1, i Solve these equations to find FN and a. V PartE :lrfIIhathiStSe magnitude of the acceleration a of the chair7 What is the magnitude of the normal force FN acting on e (2 air. Express your answers, separated by a comma, In meters per second squared and newton: to three significant figures. b View Available Hint(s) o ? l 0 You have already submitted this answer. Enter a new answer. No credit lost. Try again m Previous Answers R_equest Answer mm Next > 6 Pearson