During a step, the force on the hip joint is approximately 2.5 times the weight of the person taking the step. For a single step, the joint slides approximately 30 mm inside the socket. The coefficient of kinetic friction for synovial fluid that lubricates the joint is 0.003. 1. For a 60 kg person, what is the magnitude of the frictional force on the joint?
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- You can hold a book against the wall, preventing it from sliding down, if you press your hand against it. Suppose the coefficient of static friction between the book and the wall is 0.450, but there is no friction between your hand and the book. The mass of your book is 3.75 kg. (a) What minimum force do you need to apply to keep the book from slipping down the wall? Give your answer in units of Newtons. Assume you are applying the force horizontally. (b) Now suppose you are pushing the book at an angle of 37.5 ̊ above the horizontal. Now what is the minimum force you need to apply to keep the book from slipping down the wall? Give your answer in units of Newtons.Running on a treadmill is slightly easier than running outside because there is no drag force to work against. Suppose a 60 kg runner completes a 5.0 km race in 19 minutes. The density of air is 1.20 kg/m3 Determine the drag force on the runner during the race. Suppose that the runner has the cross section area of 0.72 m2 and the drag coefficient of 1.2. What is this force as a fraction of the runner's weight?You can hold a book against the wall, preventing it from sliding down, if you press your hand against it. Suppose the coefficient of static friction between the book and the wall is 0.450, but there is no friction between your hand and the book. The mass of your book is 3.75 kg. What minimum force (P) do you need to apply to keep the book from slipping down the wall? Give your answer in units of Newtons. Hint: apply Newton's 2nd law to the book, and set the acceleration equal to zero, since it is not moving! P
- It is autumn. You look outside a window and see a maple leaf falling face down, in a straight vertical line. You estimate the speed of the leaf to be 25.77 cm/s. You then pick up the leaf and do measurements. It has a mass of 2.76 g and a cross sectional area of 76 square cm. You measure the density of air to be 1.298 kg m-³. What is the drag coefficient between the leaf and the air? (numerical value only) Number (Hint: For an object to fall with constant speed, it must be at 'terminal velocity'.)An object hangs between two walls which are 1.8 m apart. If the rope sags 15° below horizontal and the object’s mass is 1.5 kg, what is the tension in the rope?A block of mass 1.45 kg is resting on a board with friction.The board is inclined until the mass just starts to slide. If the angle of the incline when the mass just barely begins to slide is 17.5 degrees,what is the coefficient of static friction between the block and the board?
- A 50-kg box is resting on a horizontal floor. A force of 250 N directed at an angle of 30.0° below the horizontal is applied to the box. The coefficient of static friction between the box and the surface is 0.40, and the coefficient of kinetic friction is 0.30. What is the force of friction on the box?You can hold your 2.5 kg textbook against the wall, preventing it from slipping down, if you press your hand against it horizontally. Suppose the coefficient of static friction between the book and the wall is 0.50, and there is no friction between your hand and the book. What minimum force do you need to apply to keep the book from slipping down?The coefficient of kinetic friction between a box and the floor is μk = 0.14 and the coefficient of static friction is μs = 2.0μk. Calculate the ratio of static to kinetic friction force if m = 8 kg.
- An early submersible craft for deep-sea exploration was raised and lowered by a cable from a ship. When the craft was stationary, the tension in the cable was 6500 N. When the craft was lowered or raised at a steady rate, the motion through the water added an 1800 N drag force. What was the tension in the cable when the craft was being lowered to the seafloor?A small box is held in place against a rough wall by someone pushing on it with a force directed upward at an angle of 260 above the horizontal. The coefficient of static and kinetic friction between the box and the wall are 0.40 and 0.30, respectively. The box slides down unless the applied force has a magnitude of 13 N. What is the mass of the box?A 150-lb block rests on a horizontal surface. The coefficient of static and kinetic frictions between the block and the surface are 0.30 and 0.20, respectively. What is the acceleration of the block when P = 90 lb. P μs=0.30, μk=0.20 150 lb