Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 5, Problem 65P

(I) Use dimensional analysis (Section 1–7) in Example 5–17 to determine if the time constant τ is τ = m/b or τ = b/m.

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(II) At an accident scene on a level road, investigators measure a car's skid mark to be 98 m long. It was a rainy day and the coefficient of friction was estimated to be 0.38. Use these data to determine the speed of the car when the driver slammed on (and locked) the brakes. (Why does the car's mass not matter?)
. (III) An engineer is designing a spring to be placed at thebottom of an elevator shaft. If the elevator cable breakswhen the elevator is at a height h above the top of thespring, calculate the value that the spring constant k shouldhave so that passengers undergo an acceleration of no morethan 5.0 g when brought to rest. Let M be the total massof the elevator and passengers.
A mass m is attached to a spring which is held stretched a distance x by a force F, Fig. 6–45, and then released. The spring pulls the mass to the left, towards its natural equilibrium length. Assuming there is no friction, determine the speed of the mass m when the spring returns: (a) to its normal length (x = 0); (b) to half its original extension (x/2). m x= 0 FIGURE 6–45 Problem 75.

Chapter 5 Solutions

Physics for Scientists and Engineers with Modern Physics

Ch. 5 - Why is the stopping distance of a truck much...Ch. 5 - Can a coefficient of friction exceed 1.0?Ch. 5 - Cross-country skiers prefer their skis to have a...Ch. 5 - When you must brake your car very quickly, why is...Ch. 5 - When attempting to stop a car quickly on dry...Ch. 5 - You are trying to push your stalled car. Although...Ch. 5 - It is not easy to walk on an icy sidewalk without...Ch. 5 - A car rounds a curve at a steady 50 km/h. If it...Ch. 5 - Will the acceleration of a car be the same when a...Ch. 5 - Describe all the forces acting on a child riding a...Ch. 5 - A child on a sled comes flying over the crest of a...Ch. 5 - Sometimes it is said that water is removed from...Ch. 5 - Technical reports often specify only the rpm for...Ch. 5 - A girl is whirling a ball on a string around her...Ch. 5 - The game of tetherball is played with a ball tied...Ch. 5 - Astronauts who spend long periods in outer space...Ch. 5 - A bucket of water can be whirled in a vertical...Ch. 5 - A car maintains a constant speed v as it traverses...Ch. 5 - Why do bicycle riders lean in when rounding a...Ch. 5 - Why do airplanes bank when they turn? How would...Ch. 5 - For a drag force of the form F = bv, what are the...Ch. 5 - Suppose two forces act on an object, one force...Ch. 5 - (I) If the coefficient of kinetic friction between...Ch. 5 - (I) A force of 35.0 N is required to start a...Ch. 5 - (I) Suppose you are standing on a train...Ch. 5 - (I) The coefficient of static friction between...Ch. 5 - (I) What is the maximum acceleration a car can...Ch. 5 - (II) (a) A box sits at rest on a rough 33 inclined...Ch. 5 - (II) A 25.0-kg box is released on a 27 incline and...Ch. 5 - (II) A car can decelerate at 3.80 m/s2 without...Ch. 5 - (II) A skier moves down a 27 slope at constant...Ch. 5 - (II) A wet bar of soap slides freely down a ramp...Ch. 5 - (II) A box is given a push so that it slides...Ch. 5 - (II) (a) Show that the minimum stopping distance...Ch. 5 - (II) A 1280-kg car pulls a 350-kg trailer. The car...Ch. 5 - (II) Police investigators, examining the scene of...Ch. 5 - (II) Piles of snow on slippery roofs can become...Ch. 5 - (II) A small box is held in place against a rough...Ch. 5 - (II) Two crates, of mass 65 kg and 125 kg, are in...Ch. 5 - (II) The crate shown in Fig. 5-33 lies on a plane...Ch. 5 - (II) A crate is given an initial speed of 3.0 m/s...Ch. 5 - (II) Two blocks made of different materials...Ch. 5 - (II) For two blocks, connected by a cord and...Ch. 5 - (II) A flatbed truck is carrying a heavy crate....Ch. 5 - (II) In Fig 535 the coefficient of static friction...Ch. 5 - (II) Determine a formula for the acceleration of...Ch. 5 - (II) A small block of mass m is given an initial...Ch. 5 - (II) A 75-kg snowboarder has an initial velocity...Ch. 5 - (II) A package of mass m is dropped vertically...Ch. 5 - (II) Two masses mA = 2.0 kg and mB = 5.0 kg are on...Ch. 5 - (II) A child slides down a slide with a 34...Ch. 5 - (II) (a) Suppose the coefficient of kinetic...Ch. 5 - (III) A 3.0-kg block sits on top of a 5.0-kg block...Ch. 5 - (III) A 4.0-kg block is stacked on top of a...Ch. 5 - (III) A small block of mass m rests on the rough...Ch. 5 - (I) What is the maximum speed with which a 1200-kg...Ch. 5 - (I) A child sitting 1.20 m from the center of a...Ch. 5 - (I) A jet plane traveling 1890 km/h (525 m/s)...Ch. 5 - (II) Is it possible to whirl a bucket of water...Ch. 5 - (II) How fast (in rpm) must a centrifuge rotate if...Ch. 5 - (II) Highway curves are marked with a suggested...Ch. 5 - (II) At what minimum speed must a roller coaster...Ch. 5 - (II) A sports car crosses the bottom of a valley...Ch. 5 - (II) How large must the coefficient of static...Ch. 5 - (II) Suppose the space shuttle is in orbit 400 km...Ch. 5 - (II) A bucket of mass 2.00 kg is whirled in a...Ch. 5 - (II) How many revolutions per minute would a...Ch. 5 - (II) Use dimensional analysis (Section 1-7) to...Ch. 5 - (II) A jet pilot takes his aircraft in a vertical...Ch. 5 - (II) A proposed space station consists of a...Ch. 5 - (II) On an ice rink two skaters of equal mass grab...Ch. 5 - (II) Redo Example 511, precisely this time, by not...Ch. 5 - (II) A coin is placed 12.0cm from the axis of a...Ch. 5 - (II) The design of a new road includes a straight...Ch. 5 - (II) A 975-kg sports car (including driver)...Ch. 5 - (II) Two blocks with masses mA and mB, are...Ch. 5 - (II) Tarzan plans to cross a gorge by swinging in...Ch. 5 - (II) A pilot performs an evasive maneuver by...Ch. 5 - (III) The position of a particle moving in the xy...Ch. 5 - (III) If a curve with a radius of 85 m is properly...Ch. 5 - Since the curve is designed for a speed of 85...Ch. 5 - Prob. 60PCh. 5 - (II) In Problem 60 assume the tangential...Ch. 5 - (II) An object moves in a circle of radius 22 m...Ch. 5 - (III) A particle rotates in a circle of radius...Ch. 5 - (III) An object of mass m is constrained to move...Ch. 5 - (I) Use dimensional analysis (Section 17) in...Ch. 5 - (II) The terminal velocity of a 3 105 kg raindrop...Ch. 5 - (II) An object moving vertically has v=v0at t = 0....Ch. 5 - (III) The drag force on large objects such as...Ch. 5 - (III) A bicyclist can cost down a 7.0 hill at a...Ch. 5 - (III) Two drag forces act on a bicycle and rider:...Ch. 5 - (III) Determine a formula for the position and...Ch. 5 - (III) A block of mass m slides along a horizontal...Ch. 5 - (III) Show that the maximum distance the block in...Ch. 5 - (III) You dive straight down into a pool of water....Ch. 5 - (III) A motorboat traveling at a speed of 2.4 m/s...Ch. 5 - A coffee cup on the horizontal dashboard of a car...Ch. 5 - A 2.0-kg silverware drawer does not slide readily....Ch. 5 - A roller coaster reaches the top of the steepest...Ch. 5 - An 18.0-kg box is released on a 37.0 inclinc and...Ch. 5 - A flat puck (mass M) is revolved in a circle on a...Ch. 5 - A motorcyclist is coasting with the engine off at...Ch. 5 - In a Rotor-ride at a carnival, people rotate in a...Ch. 5 - A device for training astronauts and jet fighter...Ch. 5 - A 1250-kg car rounds a curve of radius 72 m banked...Ch. 5 - Determine the tangential and centripetal...Ch. 5 - The 70.0-kg climber in Fig. 550 is supported in...Ch. 5 - A small mass m is set on the surface of a sphere,...Ch. 5 - A 28.0-kg block is connected to an empty 2.00-kg...Ch. 5 - A car is heading down a slippery road at a speed...Ch. 5 - What is the acceleration experienced by the tip of...Ch. 5 - An airplane traveling at 480 km/h needs to reverse...Ch. 5 - A banked curve of radius R in a new highway...Ch. 5 - A small head of mass m is constrained to slide...Ch. 5 - Earth is not quite an inertial frame. We often...Ch. 5 - While fishing, you get bored and start to swing a...Ch. 5 - Consider a train that rounds a curve with a radius...Ch. 5 - A car starts rolling down a 1-in-4 hill (1-in-4...Ch. 5 - The sides of a cone make an angle with the...Ch. 5 - A 72kg water skier is being accelerated by a ski...Ch. 5 - A ball of mass m = 1.0 kg at the end of a thin...Ch. 5 - A car drives at a constant speed around a banked...Ch. 5 - (III) The force of air resistance (drag force) on...Ch. 5 - (III) The coefficient of kinetic friction k...Ch. 5 - (III) Assume a net force F = mg kv2 acts during...

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