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- Consider the baby being weighed in Figure 4.34. (a) What is the mass of the child and basket if a scale reading of 55 N is observed? (b) What is the tension T1 in the cord attaching the baby to the scale? (c) What is the tension T2 in the cord attaching the scale to the ceiling, if the scale has a mass of 0.500 kg? (d) Draw a sketch of the situation indicating the system of interest used to solve each part. The masses of the cords are negligible.(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 P4.74Give reasons for the answers to each of the following questions: (a) Clan a normal force be horizontal? (b) Can a normal force be directed vertically downward? (c) Consider a tennis ball in contact with a stationary floor and with nothing else. Can the normal force be different in magnitude from the gravitational force exerted on the ball? (d) Can the force exerted by the floor on the hall be different in magnitude from the force the ball exerts on the floor?
- A block with a mass of m = 46 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 10.5 N. The second has a magnitude of F2 = 23.5 N and acts on the body at an angle θ = 23° measured from horizontal, as shown. a) Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. b)Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. c)Find the block's acceleration in the x-direction, ax, in meters per second squared.A block with a mass of m = 46 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 10.5 N. The second has a magnitude of F2 = 23.5 N and acts on the body at an angle θ = 23° measured from horizontal, as shown. a)Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. b)Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid.In the arrangement shown in the figure, friction exists only on the horizontal table where the body of mass m = 7 kg is located. The mass of the thread and the pulley can be neglected, m1 = 2 kg, m2 = 4 kg. a) At least how large should the coefficient of static friction be if the system starts to move?b) Now let the coefficient of friction be µ = 0.4. Calculate the forces in the parts of the thread and the acceleration of the bodies.
- A horizontal force, F1 = 75 N, and a force, F2 = 16.7 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 4.6 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right. F1 = 75 NF2 = 16.7 Nm = 4.6 kg a.) Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. b.) Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°.A toy rocket engine is securely fastened to a large puck that can glide with negligible friction over a horizontal surface, taken as the xy plane. The 5.80-kg puck has a velocity of 1.40î m/s at one instant. Eight seconds later, its velocity is (6.00î + 8.0ĵ) m/s. (a) Assuming the rocket engine exerts a constant horizontal force, find the components of the force. î + ĵ N(b) Find its magnitude. NA block of mass m1 = 38.4 kg on a horizontal surface is connected to a mass m2 = 15.2 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. Assume that the horizontal surface is smooth. a) What is the acceleration (in m/s2) of the hanging mass? (Enter the magnitude only.) b) Determine the tension (in N) in the cord. (Enter the magnitude only.)
- What is the weight, in N, of an object with a mass of 140 kg at a location where g = 9.6 m/s2? The weight of the object is ______ N.Four forces act on an object and are given by A = 37.3 N east, B = 38.3 N to the north, C = 62.7 N to the west, Y D = 64.7 N to the south. (Consider that east goes in the direction of the + x axis and that north goes in the direction of the + y axis.) a) What is the magnitude of the net force (in N) on the object? b) What is the direction of the force? (Enter your answer in degrees counterclockwise from the + x axis)A block with a mass of m = 16 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 8.5 N. The second has a magnitude of F2 = 19.5 N and acts on the body at an angle θ = 11° measured from horizontal, as shown. a.) Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. b.) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. c.) Find the block's acceleration in the x-direction, ax, in meters per second squared.