Learning Goal: Check that the angle in your calculator is in "degrees", sin30 = 0.5 Application of Newton's Laws The physical picture is shown here NO Friction a table like this, fill in each F. = F, - ning frictionless W. = W,= V (smooth) floor Weight IF. -F. +F.. +W. XF, -F, +F., + ( by the earth) and Law'SEF. = ma, EF, = ma This problem has similarity to a problem in "Discussion". On the left panel, the free-body diagram (force een drawn and the +x and +y axies have been set up for you. A suitcase is being pulled by a force F and it slides on a horizontal smooth floor without friction. (We will revisit this problem and include friction). The suitcase' An extremely helpful problem-solving tip is to fill in the table on the right side of the figure. mass is m = 24.8 kg , The magnitude of the gravitational acceleration is 9.80 m/s2 . The magnitude of F is F = 80.0 N . Part A - Force F: What are its correct x- and y- components. Pay attention to what angle to use, which trignometrical functions to use, and the signs of the components. Enter your answers separated by commas. F F. Fy = Submit Request Answer Part B - The normal force F'N : its magnitude is NOT automatically known. (A common mistake is to think FN is always equal to the magnitude of the weight.) Here we use a space holder for magnitude FN- Wh x- and y- components of FN? Keep 2 digits after the decimal point. Unit is Newtons. Separate answers by commas. OFN, X = 0 FN. y= FN OFN, X = FN, FN, y= 0 OFN, X = 0 FN, y= - FN Submit Request Answer Part C - Remember: weight is a force, which is a vector. Calculate its x- and y- components. Pay attention to what angle to use, which trignometrical functions to use, and the signs of the components. Keep 2 digits after the decimal point. Unit is Newtons. Separate answers by commas. weight vector Wz . Wy = Submit Request Answer Now the table on the right side of the figure is complete with FN as a space holder. You can write up EF, and EFy, with FN as a space holder. You will apply Newton's Laws (1st or 2nd) Part D - The physical situation is that the suitcase moves horizontally (along the x axis). You can find the magnitude of FN- If you don't know how, open the "hints". View Available Hint(s) magnitude FN Submit Part E - Now apply Newton's 2nd Law in the x- axis to the find the suitcase's acceleration ax. Keep 3 digits after the decimal point. Unit is m/s az = m / s