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A painter sits on a scaffold that is connected to a rope passing over a pulley. The other end of the rope rests in the hands of the painter who wants to lift the scaffold. She plans to pull downward on the loose end of the rope, thinking that the scaffold will then rise vertically with her along for the ride. The scaffold has a mass of 52 kg, and her mass is 63 kg. The painter pulls downward on the rope with a force of 600.0 N, while she and the scaffold are hanging from the other end above the ground. a. What is the net acceleration on the system consisting of the painter and the scaffold? b. What is the magnitude of the normal force exerted on the painter by the scaffold?
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Chapter 5 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- 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.arrow_forwardThe starship Enterprise has its tractor beam locked onto some valuable debris and is trying to pull it toward the ship. A Klingon battle cruiser and a Romulan warbird are also trying to recover the item by pulling the debris with their tractor beams as shown in Figure P5.25. a. Given the following magnitudes of the tractor beam forces, find the net force experienced by the debris: FEnt = 7.59 106 N, FRom = 2.53 106 N, and FKling = 8.97 105 N. b. If the debris has a mass of 2549 kg, what is the net acceleration of the debris? FIGURE P5.25arrow_forwardTwo people are pushing a stalled car, as the figure indicates. The mass of the car is 1850 kg. One person applies a force of 275 N to the car, while the other applies a force of 395 N. Both forces act in the same direction. A third force of 560 N also acts on the car, but in a direction opposite to that in which the people are pushing. This force arises because of friction and the extent to which the pavement opposes the motion of the tires. Find the acceleration of the car.arrow_forward
- The figure below shows a bird feeder that weighs 161.7 N. The feeder is supported by a vertical string, which is in turn tied to two strings, each of which is attached to a horizontal branch. The left string makes a 60° angle with the branch, while the right string makes a 30° angle. What is the tension in each string (in N)? left string right string bottom string 60° Bird food 30° 72.44 X N N 161.7 Narrow_forwardA cart of mass 0.85 kg is on a track, connected by a string over a pulley to a hanging mass of 0.1 kg. A friction pad is attached to the bottom of the cart, and you push the cart so that it first moves toward the sensor, then away from the motion sensor.arrow_forwardA 5.00 kg (m₁) block and a 7.25 kg (m₂) block are hanging on opposite sides of a pulley. Assume that the pulley is frictionless, and the string has negligible mass and cannot be stretched. What is the sum of the forces acting on the block of mass m₁?arrow_forward
- A box is hanging at rest from the ceiling by two ropes. The rope on the left (Rope 1) forms a 20degree angle with the ceiling and has a total tension of 25N. The box on the right (Rope 2) forms a 32degree angle with the ceiling and has a total tension of 15N. What is the weight of the box? What is the mass of the box? A person ties a 2.5 g ball to the end of a 200 cm rope and swings it around in a circle directly over their head. It takes the ball 1.2 seconds to move around the circle one time. What is the velocity of the ball? What is the magnitude of the centripetal acceleration of the ball? What is the magnitude of the centripetal force on the ball? What type of force provides the centripetal force?arrow_forwardSee the figure. A light string connects three blocks, two of which are being pulled across a frictionless horizontal tabletop as the third block is hanging from the massless pulley. Block A has a mass of mA = 2.50 kg, block B has a mass of m³ = 1.50 kg and block C has a mass of mc = 2.00 kg. Find: a) the tensions in the strings between the blocks, T₁ and T2; and b) the acceleration a of the system. Be sure to include the free-body diagram for all of the considered objects. T₂ A T₁ B сarrow_forwardThe figure below shows a bird feeder that weighs 167.9 N. The feeder is supported by a vertical string, which is in turn tied to two strings, each of which is attached to a horizontal branch. The left string makes a 60° angle with the branch, while the right string makes a 30° angle. What is the tension in each string (in N)? left string __N right string __N bottom string __Narrow_forward
- A force F acts to the right on a 6.4 kg block. A 3.43 kg block is stacked on top of the 6.4 kg block and can slide on it with a coefficient of 1. 40.72541 2. 22.0506 friction of u1 =0.2 between the blocks. Both pulleys are massless and frictionless. The string is also massless. Note the axle of the upper pulley is free to move so it will accelerate to the left as the 6.4 kg block accelerates to the right. Think carefully about the magnitude of that axle's acceleration. The axle of the lower pulley is fixed at the position shown. The table has a coefficient of friction of 3. 49.393639 O 4. 56.648308 5. 39.322021 O 6. 31.94706 O 7, 42.29855 H2 =0.19. The acceleration of gravity is 9.8 m/s 8. 48.740013 O 9. 32.937958 3.43 kg F O 10. 34.211868 6.4 kg 12 Find the force F required to accelerate the 6.4 kg block at 1.7 m/s. (Hint: How many frictional forces are on the 6.4 kg block?) Answer in units of N.arrow_forwardA rope is attached to an object with mass 8.5-kg that rests on a frictionless, horizontal surface. The horizontal rope passes over a pulley, and a block with mass 5 kg is suspended from the other end. When the blocks are released, the tension in the rope is 11.6 newtons. What is the acceleration of either block? The pulley is frictionless and massless.arrow_forwardThe figure below shows a bird feeder that weighs 158.9 N. The feeder is supported by a vertical cable, which is in turn tied to two cables, each of which is attached to a horizontal post. The left cable makes a 60° angle with the post, while the right cable makes a 30° angle. What is the tension in each cable (in N)? left cable N Right cable N bottom cable Narrow_forward
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