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A fisherman poles a boat as he searches for his next catch. He pushes parallel to the length of the light pole, exerting a force of 240 N on the bottom of a shallow lake. The pole lies in the vertical plane containing the boat’s keel. At one moment, the pole makes an angle of 35.0° with the vertical and the water exerts a horizontal drag force of 47.5 N on the boat, opposite to its forward velocity of magnitude 0.857 m/s. The mass of the boat including its cargo and the worker is 370 kg. (a) The water exerts a buoyant force vertically upward on the boat. Find the magnitude of this force. (b) Assume the forces are constant user a short interval of time. Find the velocity of the boat 0.450 s after the moment described, (c) If the angle of the pole with respect to the vertical increased but the exerted force against the bottom remained the same, what would happen to buoyant forte and the acceleration of the boat?
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COLLEGE PHYSICS,V.1-W/ENH.WEBASSIGN
- A makeshift sign hangs by a wire that is extended over an ideal pulley and is wrapped around a large potted plant on the roof as shown in Figure P6.10. When first set up by the shopkeeper on a sunny and dry day, the sign and the pot are in equilibrium. Is it possible that the sign falls to the ground during a rainstorm while still remaining connected to the pot? What would have to be true for that to be possible? FIGURE P6.10 Problems 10 and 11.arrow_forwardThe figure shows an overhead view of a 0.025 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F→1 has a magnitude of 3 N and is at θ1 = 29˚. Force F→2 has a magnitude of 8 N and is at θ2 = 27˚. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity v→=(11î −16ĵ ) m/s, and (c) has the v→=(11tî −11tĵ ) m/s2, where t is time?arrow_forwardTarzan, who weighs 820 N, swings from a cliff at the end of a 20.0 m vine that hangs from a high tree limb and initially makes an angle of 22.0 with the vertical. Assume that an x axis extends horizontally away from the cliff edge and a y axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is 760 N. Just then, what are (a) the force on him from the vine in unit-vector notation and the net force on him (b) in unit-vector notation and as (c) a magnitude and (d) an angle relative to the positive direction of the x axis? What are the (e) magnitude and (f) angle of Tarzan’s acceleration just then?arrow_forward
- A fisherman casts his bait toward the river at an angle of 25° above the horizontal. As the line unravels, he notices that the bait and hook reach a maximum height of 2.9m. What was the initial velocity he launched the bait with? Assume that the line exerts no appreciable drag force on the bait and hook and that air resistance is negligible. A) 18 m/s B) 7.9 m/s C) 7.6 m/s D) 6.3 m/sarrow_forwardA man pushing a crate of mass m = 92.0 kg at a speed of v = 0.860 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.359 and he exerts a constant horizontal force of 281 N on the crate. ) Find the magnitude and direction of the net force on the crate while it is on the rough surface Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude N=? Find the net work done on the crate while it is on the rough surface.J=? Find the speed of the crate when it reaches the end of the rough surface.m/s=?arrow_forwardIn the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 55 kg vaulter is moving at 2.5 m/s and is 5.1 m from the bottom end of the pole. What vertical force does the pole exert on the vaulter?arrow_forward
- A 5.20-kg wooden crate is being pulled up on an incline by a motor with a pulling force of 75.0 N. The coefficients of friction (static and kinetic) between the crate and the incline are μs = 0.75 and μk = 0.25, respectively. At the instant shown, the normal force, N, exerted by the incline on the crate is equal to 46.2 N, and θ = 25.0°Determine the magnitude and direction of the resultant of the friction force and normal force.arrow_forwardA drag force is represented by vector a of magnitude 5.72 N and direction 148.6 degrees (measured from the +x-axis, counter-clockwise). If the gravitational force of a projectile is represented by vector bof magnitude of 11.2 N. The x-component of the Sum vector, sx (N) is:arrow_forwardA Person received a huge package from an unknown sender. He tries to move the package by pushing it with a force P = 150.0 N inclined at 40.0 degrees from the horizontal at h=1.456m from the floor. The coefficients of non-sliding and sliding friction between the floor and the package are 0.350 and 0.300, respectively. Knowing that the package is 60.0 kg and 0.900m wide, 1. limiting friction force between the package and the ground? 2. location of the point of application of the normal force along the bottom surface of the body? 3. Is the package sliding, tipping or about to tip, or moving?arrow_forward
- Given a drag coefficient of 0.42 kg/sec, the magnitude of the drag force (N) on a projectile moving with a speed of 8 m/s isarrow_forwardIf a horizontal force is applied to an object, how can you tell if an object will start moving? A.The object will start moving if any force is applied. B.The object will start moving if the applied force is greater than the maximum static friction. C.The object will start moving if the applied force is greater than the minimum static friction. D.The object will start moving if the applied force is greater than the maximum kinetic friction. E.The object will start moving if the applied force is greater than the minimum kinetic frictionarrow_forwardIn the figure, a slab of mass m1 = 40 kg rests on a frictionless floor, and a block of mass m2 = 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F→ of magnitude 104 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill