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41. II An accident victim with a broken BIO leg is being placed in traction. The patient wears a special boot with a pulley attached to the sole. The foot and boot together have a mass of 4.0 kg, and the doctor has decided to hang a 6.0 kg mass from the rope. The boot is held suspended by the ropes, as shown in fIGURE P6.41, and does not touch the bed. a. Determine the amount of tension FIGU RE P6-41 in the rope by using Newton's laws to analyze the hanging mass. b. The net traction force needs to pull straight out on the leg. What is the proper angle 6 for the upper rope? c. What is the net traction force pulling on the leg? Hint: If the pulleys are frictionless, which we will assume, the tension in the rope is constant from one end to the other. 45. II a. A rocket of mass m is launched straight up with thrust Fthrust. Find an expression for the rocket's speed at height h if air resistance is neglected. b. The motor of a 350 g model rocket generates 9.5 N thrust. If air resistance can be neglected, what will be the rocket's speed as it reaches a height of 85 m?47. II A truck with a heavy load has a total mass of 7500 kg. It is climbing a 150 incline at a steady 15 m/s when, unfortunately, the poorly secured load falls off! Immediately after losing the load, the truck begins to accelerate at 1.5 m/s . What was the mass of the load? Ignore rolling friction.51. II A 2.0 kg wood block is launched up a wooden ramp that is inclined at a 30 angle. The block's initial speed is 10 mfs. a. What vertical height does the block reach above its starting point? b. What speed does it have when it slides back down to its starting point? 53. II A large box of mass M is pulled across a horizontal, frictionless surface by a horizontal rope with tension T. A small box of mass m sits on top of the large box. The coefficients of static and kinetic friction between the two boxes are us and uk, respectively. Find an expression for the maximum tension max for which the small box rides on top of the large box without slipping.55. II You're driving along at 25 mfs with your aunt's valuable an- tiques in the back of your pickup truck when suddenly you see a giant hole in the road 55 m ahead of you. Fortunately, your foot is right beside the brake and your reaction time is zero! a. Can you stop the truck before it falls into the hole? b. If your answer to part a is yes, can you stop without the antiques sliding and being damaged? Their coefficients of friction are #5 = 0.60 and M = 0.30. Hint: You're not trying to stop in the shortest possible distance. What's your best strategy for avoiding damage to the antiques