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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
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
- A city is trying to determine the speed limit for a given stretch of road. If a stop sign is visible from 62.0m on a straight, horizontal stretch of road and the coefficient of static friction between the road and the tires of a car is 0.525 then what is the maximum speed for a car in meters per second so that it can come to a complete stop at the stop sign?arrow_forwardIn the figure, m1=10kg and m2=4.0kg. The coefficient of static friction between m1 and the horizontal surface is 0.50 and the coefficient of kinetic friction is 0.30. a) If the system is in imminent motion, what is the tension in the rope? b) If the system is set in motion with m2 moving downward, what will be the acceleration of the system and the tension of the string?arrow_forwardA student of weight 641 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force F→N on the student from the seat is 599 N. (a) What is the magnitude of F→N at the lowest point? If the wheel's speed is doubled, what is the magnitude FN at the (b) highest and (c) lowest point?arrow_forward
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- A block with mass m1 = 9.2 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.58. A second block with a mass m2 = 10.8 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs. Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2. Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1. Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a⃗ 1=a1i^a→1=a1i^ and a⃗ 2=a2y^a→2=a2y^. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1. Write an expression using the…arrow_forwardA block with mass m1 = 9.2 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.58. A second block with a mass m2 = 10.8 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs. Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2. Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1. Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a⃗ 1=a1i^a→1=a1i^ and a⃗ 2=a2y^a→2=a2y^. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1. Write an expression using the…arrow_forwarda block of mass m1 = 5.0 kg on a smooth horizontal surface pulled by a massless string, which is attached to a second block with mass m2 = 1.0 kg hanging over a pulley. Assume that the pulley has no mass and is frictionless and that it merely serves to change the direction of the tension in the string at that point. The magnitude of the tension in the string is uniform, and the string itself is massless. Find the net acceleration of the system when the masses are allowed to move.arrow_forward
- A Wall of Death is a carnival show featuring a motorcyclist rides along the vertical wall of the cylinder and performs various stunts while doing so. Given that the radius of the cylinder is 7 m and the static coefficient of friction is 0.8, what is the minimum speed in m/s2 that the motorcyclist must do to prevent the motorcycle to slip from the wall?arrow_forwardIn 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.arrow_forwardA 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.)arrow_forward
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