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QUESTION 7 A box is at rest on a horizontal, frictionless table. Horizontal force F1 points along the positive x-axis; when it is the only force acting on the box, the box accelerates at 6.75 m/s. Force F3 is also horizontal; it has magnitude 2.85F, and acts at an angle 22.6° to the direction of F1. If forces F1 and F3 act on the box at the same time, find the magnitude of the acceleration of the box now, in m/s QUESTIONS A 291 kg elevator car is supported by two cables. Assume that the tension in each cable is the same. If the elevator is accelerating downward at 0.302 m/s find the magnitude of the tension in each cable, in N. QUESTION 9 A heavy rope of mass 3.25 kg is tied around a box of mass 97.1 sitting at rest on a horizontal, frictionless surface. If the rope is pulled horizontally with a force of 20.9 N, find the magnitude of the acceleration of the box, in m/s HINT: This is different from the problem where the rope is massless! Assume the rope remains completely horizontal. QUESTION 10 Refer to diagram 2. A light rope is tied around a box of mass 10.2 kg sitting at rest on a frictionless horizontal surface. You pull on the string with a 64.7 N force, and the rope makes an angle = 36.7° with the horizontal. Find the magnitude of the normal force (the force of contact) between the box and the surface, in N. QUESTION 11 Refer to diagram 3. In the 19th century, barges were pulled by rope through the Erie Canal. Suppose two ropes of equal length make an angle = 38.1° to each other. Assume the frictional force between the boat and the water, opposing its forward motion, is 7.78x10 N, and that, on average, each man pulls with a constant force of 937 N. Find the total number of men needed to pull the boat at constant velocity through the canal. NOTE Since you cannot have a fraction of a man, you must raise the answer to the nearest whole man (so 123.1 becomes 124). of a man, you must raise teded to pull the boat at co is 7.78x10% N, and that swer to the nearest wholocity through the cand age, each man QUESTION 12 Refer to diagram 4. This is a view from above: the x and y-axis are both horizontal A charged particle (mass 3.11 g) is shot horizontally between two charged parallel plates of length L = 73 cm moving at speed 24.7 m/s. The particle feels a constant electric force toward the negative plate, and deflects distance y = 0.918 cm from its original path. Find the magnitude of the not force on the charge, in N, while it is between the plates. You may assume gravity can be ignored. Click Save and submit to save and submit. Click Save All Am

(diagrams 2,3,4 are included here )

Answer 1

2.65F From questim Fama = = mx 6-750 is applied F + 2-85 FCO 226° = ma When Fo = → 6.75 m + 2.85* 6-75 mx 0.923 = ma → a= 24.5 m/s Ans M=291kg By Hewton's and law mg-27ma T= m() 29119.8:302) - 1882N Total mass = (htm) F = (Mam) a → a= - 3.25tazi = 0.21 m/s2 F = 64.7N 367 mln.2kg For vertical Forces. N + F Sin( 34.7) = mg Na mg - f Sin36-7 = 10.2%918- 647X SM 96.7 - 61:3N Ans: