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1. Four blocks, with masses m1 = 5.60 kg, m2 = 4.60 kg, m; = 7.90 kg, and m4 = 7.50 kg, are pulled on
1. Four blocks, with masses m1 = 5.60 kg, m2 = 4.60 kg, m; = 7.90 kg, and m4 = 7.50 kg, are pulled on a horizontal frictionless surface by a 36.0 N force that makes a 36 0 angle (6) with the horizontal (see figure). What is the magnitude of the tension between the m3 and m4 blocks? 2. To move a large crate across a rough floor, you push down on it at an angle 6 = 24, as shown in the figure. Find the force necessary to start the crate moving, given that the mass of the crate is m = 31.0 kg and the coefficient of static friction between the crate and the floor is 0.66. N 3. To keep a large crate moving across a rough floor, you push down on it at an angle 9 = 24, as shown in the figure. What is the normal force when the crate moves at constant velocity, given that the mass of the crate is m = 31.0 kg and the coefcient of kinetic friction between the crate and the floor is 0.31? 4. A box slides down a 29 incline with an acceleration that is precisely one-fourth what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction of the rough incline. 5. A mass m1 = 4.40 kg block on a tabletop is attached by a string to a hanging block of mass m2 = 2.50 kg, as shown in the figure. The coefficient of kinetic friction between the mass (m1) and the surface is 0.29. The blocks are released from rest and allowed to move freely. Find the magnitude of the tension in the string. 6. In the figure below, the rope and the pulleys are massless and the mass m1 = 8.20 kg. The coefficient of static friction between the mass m1 and the surface on which it rests is 0.34. What is the maximum mass that (m2) can have for which the system will still remain in equilibrium? k9 7. A 6.50 kg block is pressed against a vertical wall by a force (1:), as shown in the gure below. The coefcient of static friction between the block and the wall is 0.36 and the directional angle 0 for the force is 48. Determine the magnitude of the force ('F) when the block is about to slide up the wall. 8. Two blocks are connected by a string, as shown in the figure. The smooth inclined surface makes an angle of G = 41 with the horizontal, and the block on the incline has a mass m1 = 6.3 kg. Find the mass m2 of the hanging block that will cause the system to be in equilibrium. k9 9. A large box is pulled by a person with a force 13" as shown in the figure. The angle 6 = 22. What is the magnitude of the force that is needed to start the box moving if the mass of the box is m = 29.0 kg and the coefficient of static friction between the box and the floor is 0.58? N 10. According to Newton's third law, what is the reaction force in the previous question to the gravitational pull of the box on Earth? 1 The normal force of the box on the floor \"1 The normal force of the person on the floor *' The weight of the box . The normal force of the floor on the box v The weight of the person The force of the person on the box The normal force of the floor on the person The force of the box on the person 7 The gravitational pull of the person on Earth
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