Alex is asked to move two boxes of books in contact with each other and resting on a rough floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force F, = 9.1 N. Here A has a mass m, = 10.2 kg and B has a mass m. = 7.0 kg. The contact force between the two boxes is F. The coefficient of kinetic friction between the boxes and the floor is 0.02. (Assume F, acts in the +x direction.) F, (a) What is the magnitude (in m/s?) of the acceleration of the two boxes? 0.56 |x Did you draw three free-body diagrams, one for each box and one for the two boxes combined and identify the forces acting on each system? What is the system of interest here for finding the acceleration of the two boxes? m/s? (b) What is the force exerted on ma by m.? In other words what is the magnitude (in N) of the contact force F,? 5.292 What is the system of interest here for finding the contact force between the two boxes? N (c) If Alex were to push from the other side on the 7.0-kg box, what would the new magnitude (in N) of F c be? 3.81 Think about symmetry or lack thereof as you try to answer this part of the question. N

Alex is asked to move two boxes of books in contact with each other and resting on a rough floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force F, = 9.1 N. Here A has a mass m, = 10.2 kg and B has a mass m. = 7.0 kg. The contact force between the two boxes is F. The coefficient of kinetic friction between the boxes and the floor is 0.02. (Assume F, acts in the +x direction.) F, (a) What is the magnitude (in m/s?) of the acceleration of the two boxes? 0.56 |x Did you draw three free-body diagrams, one for each box and one for the two boxes combined and identify the forces acting on each system? What is the system of interest here for finding the acceleration of the two boxes? m/s? (b) What is the force exerted on ma by m.? In other words what is the magnitude (in N) of the contact force F,? 5.292 What is the system of interest here for finding the contact force between the two boxes? N (c) If Alex were to push from the other side on the 7.0-kg box, what would the new magnitude (in N) of F c be? 3.81 Think about symmetry or lack thereof as you try to answer this part of the question. N

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 46P: An aluminum block of mass m1 = 2.00 kg and a copper block of mass m2 = 6.00 kg are connected by a...

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The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net force F are given by x = t4 6t and y = 4t2 + 1, with x and y in meters and t in seconds. What is the magnitude of the force F at t = 4.00 s?
A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.
Two blocks of mass 3.50 kg and 8.00 kg are connected by a massless string that passes over a frictionless pulley (Fig. P4.47). The inclines are frictionless. Find (a) the magnitude of the acceleration of each block and (b) the tension in the string. Figure P4.47
FIGURE P5.49 Problems 49 and 50. Suppose the system of blocks in Problem 49 is initially held motionless and, when released, begins to accelerate. a. If m1 = 7.00 kg, m2 = 2.00 kg, and the magnitude of the acceleration of the blocks is 0.134 m /s2, find the magnitude of the kinetic frictional force between the second block and the ledge. b. What is the value of the coefficient of kinetic friction between the block and the ledge?
A bag of cement weighing 325 N hangs in equilibrium from three wires as suggested in Figure P4.23. Two of the wires make angles 1 = 60.0 and 2 = 40.0 with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires. Figure P4.23 Problems 23 and 24.
An object of mass m = 1.00 kg is observed to have an acceleration a with a magnitude of 10.0 m/s2 in a direction 60.0 east of north. Figure P4.29 shows a view of the object from above. The force F2 acting on the object has a magnitude of 5.00 N and is directed north. Determine the magnitude and direction of the one other horizontal force F1 acting on the object. Figure P4.29
An object of mass M is held in place by an applied force F and a pulley system as shown in Figure P4.43. The pulleys are massless and frictionless. (a) Draw diagrams showing the forces on each pulley. Find (b) the tension in each section of rope, T1, T2, T3, T4, and T5 and (c) the magnitude of F. Figure P4.43 44. Any device that allows you to increase the force you exert is a kind of machine. Some machines, such as the prybar or the inclined plane, are very simple. Some machines do not even look like machines. For example, your car is stuck in the mud and you cant pull hard enough to get it out. You do, however, have a long cable that you connect taut between your front bumper and the trunk of a stout tree. You now pull sideways on the cable at its midpoint, exerting a force f. Each half of the cable is displaced through a small angle from the straight line between the ends of the cable. (a) Deduce an expression for the force acting on the car. (b) Evaluate the cable tension for the case where = 7.00 and f = 100 N.
If the vector components of the position of a particle moving in the xy plane as a function of time are x(t)=(2.5ms2)t2i and y(t)=(5.0ms3)t3j, when is the angle between the net force on the particle and the x axis equal to 45?
Two blocks are connected by a rope that passes over a massless and frictionless pulley as shown in Figure P5.41. Given that m0 = 15.93 kg and m2 = 10.45 kg, determine the magnitudes of the tension in the rope and the blocks acceleration. FIGURE P5.41
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Alex is asked to move two boxes of books in contact with each other and resting on a rough floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force FP = 8.5 N. Here A has a mass mA = 11.0 kg and B has a mass mB = 7.0 kg. The contact force between the two boxes is FC. The coefficient of kinetic friction between the boxes and the floor is 0.04. (Assume FP acts in the +x direction.) What is the magnitude (in m/s2) of the acceleration of the two boxes? What is the force exerted on mB by mA? In other words what is the magnitude (in N) of the contact force If Alex were to push from the other side on the 7.0-kg box, what would the new magnitude (in N) of FC be?