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- An elevator has a mass of 200kg. An average person has of 40 kg. The elevator must accelerate upward at 3 m/s^2. If the elevator cable is capable of supporting 6500 N of tension before it breaks. What is the maximum number of people you could have on board?A 50.7 kg box is resting on a horizontal floor. A force of 317.1 N directed at an angle of 34.1° below the horizontal is applied to the box. The coefficient of static friction between the box and the surface is 0.5, and the coefficient of kinetic friction is 0.2. The force of friction on the box is:A mass is suspended from the ceiling in an elevator by a heavy rope. The mass is 80 kg and the mass of the rope is 2 kg. If the breaking strength of the rope is 1000 N, what is the maximum acceleration of the elevator such that the rope will not break?
- A crate is pushed across a horizontal surface by the applied force shown in the figure. The magnitude of the force F = 24.1 N, 0 = 27.9°, the coefficient of kinetic friction between the block and the surface is 0.4, and M = 2.49 kg, what is the magnitude of the acceleration of the crate in m/s?You are pushing a metal crate against a metal floor. The two surfaces have a static coefficient of friction of 0.62 and a kinetic coefficient of friction of 0.50. The floor is horizontal, and the crate has a mass of 25.0 kg. What is the minimum force you need to apply to get the crate moving from rest? Give your answer in units of N, to three significant figures.Two dogs are pulling on a weird-shaped twig of a tree in different directions. The first dog pulls with force F; = (10.0î – 20. 4j)N , the second dog pulls with force F2 = (-15.0î – 6. 5j)N . What is the angle between forces F, and F2?
- Pulling the string on a bow back with a force of 29.0 lb, an archer prepares to shoot an arrow.If the archer pulls in the center of the string, and the angle between the two halves is 128 degrees , what is the tension in the string?If the uniform concrete block has a mass of 500 kg, determine the smallest horizontal force P needed to move the wedge to the left. The coefficient of static friction between the wedge and the concrete and the wedge and the floor is 0.3. The coefficient of static friction between the concrete and floor is 0.5. ANSWER: P = 1797.52 N = 1.80 kN 3 m B 150 mm; 7.5° a.) the angle of friction between the wedge and the concrete and the wedge and the floor. Answer: 0wedge and concrete = 0wedge and floor = 16.7° b.) the coefficient of static friction between the concrete and floor. Answer: 0concrete and floor = 263.56° %3DA person doing a chin-up weighs 700 N, exclusive of the arms. During the first 25.0 cm of the lift, each arm exerts an upward force of 355 N on the torso. If the upward movement starts from rest, what is the person’s velocity at that point?