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- (a) What is the minimum force of friction required to hold the system of Figure P4.74 in equilibrium? (b) What coefficient of static friction between the 100.-N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 100.-N block and the table is 0.250, what hanging weight should replace the 50.0-N weight to allow the system to move at a constant speed once it is set in motion? Figure P4.74A certain orthodontist uses a wire brace to align a patients crooked tooth as in Figure P4.88. The tension in the wire is adjusted to have a magnitude of 18.0 N. Find the magnitude of the net force exerted by the wire on the crooked tooth. Figure P4.38Three objects are connected on a table as shown in Figure P4.73. The coefficient of kinetic friction between the block of mass m2 and the table is 0.350. The objects have masses of m1 = 4.00 kg, m2 = 1.00 kg, and m3 = 2.00 kg as shown, and the pulleys are frictionless. (a) Draw a diagram of the forces on each object. (b) Determine the acceleration of each object, including its direction. (c) Determine the tensions in the two cords. (d) If the tabletop were smooth, would the tensions increase, decrease, or remain the same? Explain. Figure P4.73
- In Figure P4.35, the man and the platform together weigh 950 N. The pulley can be modeled as frictionless. Determine how hard the man has to pull on the rope to lift himself steadily upward above the ground. (Or is it impossible? If so, explain why.) Figure P4.35A 78 kg crate rests on a rough horizontal surface. The coefficient of static friction and coefficient of kinetic friction are 0.3 and 0.2, respectively. What is the value of kinetic friction? 15.6 N 140.4 N 152.9 N 156.0 NA 750 N box moves at a constant velocity on a floor with a coefficient of static friction μs = 0.800 and coefficient of kinetic friction μk = 0.600. What horizontal force is required to keep the box moving? Multiple Choice 750 N 450 N 600 N 550 N 500 N
- A hockey puck (mass = 2 kg) leaves the players stick with a speed of 22 m/s and slides on the ice before coming to rest. The coefficient of friction between the puck and the ice is 0.9. What is the magnitude of the acceleration of the puck due to this friction force? m/s2 Tries 0/2A 78 kg crate rests on a rough horizontal surface. The coefficient of static friction and coefficient of kinetic friction are 0.3 and 0.2, respectively. What is the value of the maximum static friction? Choices: 23.4 N 210.6 N 234.0 N 229.2 NA stacked pair of books with masses m1= 2.0 kg (bottom book) and m2 = 1.5 kg (top book) are tossed onto a table. The books strike the table with no vertical velocity and their common horizontal speed is ?o = 0.75 m/s. The kinetic friction coefficient between the bottom book and the table is ?k1=0.45; the kinetic and static friction coefficients between the two books are ?k2=0.3 and ?s2= 0.4. Find the final horizontal position of each book relative to the spot where the stack hits the table.
- A 78 kg crate rests on a rough horizontal surface. The coefficient of static friction and coefficient of kinetic friction are 0.3 and 0.2, respectively. What is the normal force acting on the crate? Choices: 78 N 702 N 764 N 780 NAn ice skater is traveling in a straight, horizontal line on the ice with a velocity of v = 7.5 m/s in the positive x-direction. The coefficient of kinetic friction between the skates and the ice is μk = 0.23. v=7.5 m/s uk= 0.23 Using the expression for normal force,write an expression for the skaters acceleration in the x-direction, a9) A block is pushed across a horizontal surface by the force shown in the image. If the coefficient of kinetic friction between the block and the surface is 0.30, F = 20 N, and M = 3.0 kg, what is the magnitude of the block's acceleration? Answers: a) 2.8 m/s b) 2.3 m/s c) 1.8 m/s d) 3.3 m/s e) 5.4 m/s