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A student builds and calibrates an accelerometer and uses it to determine the speed of her car around a certain unbanked highway curve. The accelerometer is a plumb bob with a protractor that she attaches to the roof of her car. A friend riding in the car with the student observes that the plumb bob hangs at an angle of 15.0° from the vertical when the car has a speed of 23.0 m/s. (a) What is the centripetal acceleration of the car rounding the curve? (b) What is the radius of the curve? (c) What is the speed of the car if the plumb bob deflection is 9.00° while rounding the same curve?
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Chapter 6 Solutions
Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
- You are working as an expert witness for the defense of a container ship captain whose ship ran into a reef surrounding a Caribbean island. The captain is being charged with intentionally running the ship into the reef. In discovery, the following information has been presented, and attorneys on both sides have stipulated that the information is correct: The ship was traveling at 2.50 m/s toward the reef when a mechanical failure caused the rudder to jam in the straight-ahead position. At that point in time, the ship was 900 m from the reef. The wind was blowing directly toward the reef, and exerting a constant force of 9.00 x 103 N on the boat in a direction toward the reef. The mass of the ship and its cargo was 5.50 x 107 kg. During the preparation for the trial, the captain claims that without control of the direction of travel, the only choice he had was to put the engines in reverse at maximum power, such that the total force exerted by the frictional drag force of the water and…arrow_forwardThe 1.0 kg block in the figure is tied to the wall with a rope. It sits on top of the 2.0 kg block. The lower block is pulled to the right with a tension force of 20 N. The coefficient of kinetic friction at both the lower and upper surfaces of the 2.0 kg block is μkμk = 0.42. What is the acceleration of the 2.0 kg block? Express your answer with the appropriate units. The anwer is NOT 3.826 1.6 3.7 7.942arrow_forwardTwo horizontal forces, and F, are acting on a box, but only F is shown in the drawing. F₂2 can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the surface. Suppose that F₁ = +9.4 N and the mass of the box is 3.6 kg. Find the magnitude and direction of F₂ when the acceleration of the box is (a) +5.1 m/s², (b) -5.1 m/s², and (c) 0 m/s². F₁ <-+xarrow_forward
- A 37.0-kg child swings in a swing supported by two chains, each 3.02 m long. The tension in each chain at the lowest point is 356 N. (a) Find the child's speed at the lowest point. m/s (b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.). N (upward)arrow_forwardA 50.0-N box is sliding on a rough horizontal floor, and there is only one horizontal force acting against the motion of the box. You observe that at one instant the box is sliding to the right at 1.75 m/s and that it stops in 2.25 s with uniform (constant) acceleration. What is the magnitude of the force acting against the motion of the box?arrow_forwardThe figure shows three blocks attached by cords that loop over frictionless pulleys. Block B lies on a frictionless table; the masses are mA=5.00 kg, mB=7.00 kg, and mC=9.00 kg. When the blocks are released, what is the tension in the cord at the right?arrow_forward
- Two horizontal forces, and F2, are acting on a box, but only is shown in the drawing. F₂ can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the surface. Suppose that F₁ = +4.6 N and the mass of the box is 3.6 kg. Find the magnitude and direction of F2 when the acceleration of the box is (a) +6.9 m/s², (b) -6.9 m/s², and (c) 0 m /s². (a) F₂ (b) F₁₂ (c) F₂ = II ◄► ◄► F₁ +xarrow_forwardThe physics of circular motion sets an upper limit to the speed of human walking. (If you need to go faster, your gait changes from a walk to a run.) If you take a few steps and watch what's happening, you'll see that your body pivots in circular motion over your forward foot as you bring your rear foot forward for the next step. As you do so, the normal force of the ground on your foot decreases and your body tries to "lift off" from the ground. A. A person's center of mass is very near the hips, at the top of the legs. Model a person as a particle of mass m at the top of a leg of length L. Find an expression for the person's maximum walking speed vmax Express your answer in terms of the variables L and appropriate constants. b.)Evaluate your expression for the maximum walking speed of a 70 kg person with a typical leg length of 70 cm . Give your answer in m/s. c.) Give your answer in mph.arrow_forwardA 1.90 kgkg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.170 mm, to a hanging book with mass 3.10 kgkg. The system is released from rest, and the books are observed to move 1.10 mm in 0.900 ss. a) What is the tension in the part of the cord attached to the textbook? Express your answer with the appropriate units. b) What is the tension in the part of the cord attached to the hanging book? Express your answer with the appropriate units. c) What is the moment of inertia of the pulley about its rotation axis? Express your answer with the appropriate units.arrow_forward
- The suspended 2.41 kg mass on the right is moving up , the 2.1 kg mass slides down the ramp and is on an inclined 34 degrees from the horizontal, and the suspended 7.8 kg mass on the left is moving down. There is friction between the block and the ramp, the coefficient of static friction is 0.17. The acceleration of gravity is 9.8 m/s2. The pulleys are massless and frictionless. What is the acceleration of the three block system?arrow_forwardBlock and three cords. In the figure below, a block B of mass M = 16.8 kg hangs by a cord from a knot K of mass mk, which hangs from a ceiling by means of two cords. The cords have negligible mass, and the magnitude of the gravitational force on the knot is negligible compared to the gravitational force on the block. The angles are 0₁ = 25.0° and 0₂ = 59.0°. What is the tension in (a) cord 3, (b) cord 1, and (c) cord 2? (a) Number (b) Number i (c) Number i 0₁ Cord 1 Units Units Units M 8₂ Cord 2 Knot K Cord 3 Block Barrow_forwardA girl swings a 0.190 kg rock attached to a taut string in a circle around her head; her hand holds the end of the string above her head, and the string angles down slightly. The string is massless and 0.680 m long. A coordinate system lies with its origin at the location where the string comes out of the girl's hand. The positive z-axis points vertically upwards, the positive y- axis points horizontally towards the right, and the positive x-axis points out of the screen. At a certain instant, the rock makes 3.25 revolutions per second (rev/s) in a counterclockwise direction, as seen from above. The string is inclined at an angle of 0 = 12.4° below the xy-plane, and the projection of the string onto the xy- plane makes an angle o = 36.8° with the positive x-axis. What is the tangential velocity vector v in meters per second (m/s) at this instant? Report your answer using ijk unit vector notation. i = v, i + vyj+ vz k m/sarrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
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