Fundamentals of Physics, Volume 1, Chapter 1-20
Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 6, Problem 58P

Brake or turn? Figure 6- 44 depicts an overhead view of a car’s path as the car travels toward a wall. Assume that the driver begins to brake the car when the distance to the wall is d = 107 m, and take the car’s mass as m = 1400 kg, its initial speed as v0 = 35 m/s, and the coefficient of static friction as µs = 0.50. Assume that the car’s weight is distributed evenly on the four wheels, even during braking. (a) What magnitude of static friction is needed (between tires and road) to stop the car just as it reaches the wall? (b) What is the maximum possible static friction ƒs, max? (c) If the coefficient of kinetic friction between the (sliding) tires and the road is µk = 0.40, at what speed will the car hit the wall? To avoid the crash, a driver could elect to turn the car so that it just barely misses the wall, as shown in the figure. (d) What magnitude of frictional force would be required to keep the car in a circular path of radius d and at the given speed v0, so that the car moves in a quarter circle and then parallel to the wall? (e) Is the required force less than ƒs, max so that a circular path is possible?

Chapter 6, Problem 58P, Brake or turn? Figure 6- 44 depicts an overhead view of a cars path as the car travels toward a

Figure 6-44 Problem 58.

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Chapter 6 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

Ch. 6 - A person riding a Ferris wheel moves through...Ch. 6 - During a routine flight in 1956, test pilot Tom...Ch. 6 - A box is on a ramp that is at angle to the...Ch. 6 - The floor of a railroad flatcar is loaded with...Ch. 6 - In a pickup game of dorm shuffleboard, students...Ch. 6 - SSM WWW A bedroom bureau with a mass of 45 kg,...Ch. 6 - A slide-loving pig slides down a certain 35 slide...Ch. 6 - GO A 2.5 kg block is initially at rest on a...Ch. 6 - A baseball player with mass m 79 kg, sliding into...Ch. 6 - SSM ILW A person pushes horizontally with a force...Ch. 6 - The mysterious sliding stones. Along the remote...Ch. 6 - GO A 3.5 kg block is pushed along a horizontal...Ch. 6 - Figure 6-20 shows an initially stationary block of...Ch. 6 - SSM A 68 kg crate is dragged across a floor by...Ch. 6 - In about 1915, Henry Sincosky of Philadelphia...Ch. 6 - A worker pushes horizontally on a 35 kg crate with...Ch. 6 - Figure 6-22 shows the cross section of a road cut...Ch. 6 - The coefficient of static friction between Teflon...Ch. 6 - A loaded penguin sled weighing 80 N rests on a...Ch. 6 - In Fig. 6-24, a force P acts on a block weighing...Ch. 6 - GO You testify as an expert witness in a case...Ch. 6 - A 12 N horizontal force F pushes a block weighing...Ch. 6 - GO In Fig. 6-27, a box of Cheerios mass mC = 1.0...Ch. 6 - An initially stationary box of sand is to be...Ch. 6 - GO In Fig. 6-23, a sled is held on an inclined...Ch. 6 - When the three blocks in Fig. 6-29 are released...Ch. 6 - A 4.10 kg block is pushed along a floor by a...Ch. 6 - SSM WWW Block B in Fig. 6-31 weighs 711 N. The...Ch. 6 - GO Figure 6-32 shows three crates being pushed...Ch. 6 - GO Body A in Fig. 6-33 weighs 102 N, and body B...Ch. 6 - In Fig. 6-33, two blocks are connected over a...Ch. 6 - GO In Fig. 6-34, blocks A and B have weights of 44...Ch. 6 - A toy chest and its contents have a combined...Ch. 6 - SSM Two blocks, of weights 3.6 N and 7.2 N, are...Ch. 6 - GO A block is pushed across a floor by a constant...Ch. 6 - SSM A 1000 kg boat is traveling at 90 km/h when...Ch. 6 - GO In Fig. 6-37, a slab of mass m1= 40 kg rests on...Ch. 6 - ILW The two blocks m = 16 kg and M = 88 kg in Fig....Ch. 6 - The terminal speed of a sky diver is 160 km/h in...Ch. 6 - Continuation of Problem 8. Now assume that Eq....Ch. 6 - Assume Eq. 6-14 gives the drag force on a pilot...Ch. 6 - Calculate the ratio of the drag force on a jet...Ch. 6 - In downhill speed skiing a skier is retarded by...Ch. 6 - A cat dozes on a stationary merry-go-round in an...Ch. 6 - Suppose the coefficient of static friction between...Ch. 6 - ILW What is the smallest radius of an unbanked...Ch. 6 - During an Olympic bobsled run, the Jamaican team...Ch. 6 - SSM ILW A student of weight 667 N rides a steadily...Ch. 6 - A police officer in hot pursuit drives her car...Ch. 6 - A circular-motion addict of mass 80 kg rides a...Ch. 6 - A roller-coaster car at an amusement park has a...Ch. 6 - GO In Fig. 6-39, a car is driven at constant speed...Ch. 6 - An 85.0 kg passenger is made to move along a...Ch. 6 - SSM WWW An airplane is flying in a horizontal...Ch. 6 - An amusement park ride consists of a car moving in...Ch. 6 - An old streetcar rounds a flat corner of radius...Ch. 6 - In designing circular rides for amusement parks,...Ch. 6 - A bolt is threaded onto one end of a thin...Ch. 6 - GO A banked circular highway curve is designed for...Ch. 6 - GO A puck of mass m = 1.50 kg slides in a circle...Ch. 6 - Brake or turn? Figure 6- 44 depicts an overhead...Ch. 6 - SSM ILW In Fig. 6-45, a 1.34 kg ball is connected...Ch. 6 - GO In Fig. 6-46, a box of ant aunts total mass m1...Ch. 6 - SSM A block of mass mt = 4.0 kg is put on top of a...Ch. 6 - A 5.00 kg stone is rubbed across the horizontal...Ch. 6 - In Fig. 6-49, a 49 kg rock climber is climbing a...Ch. 6 - A high-speed railway car goes around a flat,...Ch. 6 - Continuation of Problems 8 and 37. Another...Ch. 6 - GO In Fig. 6-50, block 1 of mass m1 = 2.0 kg and...Ch. 6 - In Fig. 6-51, a crate slides down an inclined...Ch. 6 - Engineering a highway curve. If a car goes through...Ch. 6 - A student, crazed by final exams, uses a force P...Ch. 6 - GO Figure 6-53 shows a conical pendulum, in which...Ch. 6 - An 8.00 kg block of steel is at rest on a...Ch. 6 - A box of canned goods slides down a ramp from...Ch. 6 - In Fig. 6-54, the coefficient of kinetic friction...Ch. 6 - A 110 g hockey puck sent sliding over ice is...Ch. 6 - A locomotive accelerates a 25-car train along a...Ch. 6 - A house is built on the top of a hill with a...Ch. 6 - What is the terminal speed of a 6.00 kg spherical...Ch. 6 - A student wants to determine the coefficients of...Ch. 6 - SSM Block A in Fig. 6-56 has mass mA = 4.0 kg, and...Ch. 6 - Calculate the magnitude of the drag force on a...Ch. 6 - SSM A bicyclist travels in a circle of radius 25.0...Ch. 6 - In Fig. 6-57, a stuntman drives a car without...Ch. 6 - You must push a crate across a floor to a docking...Ch. 6 - In Fig. 6-58, force F is applied to a crate of...Ch. 6 - In the early afternoon, a car is parked on a...Ch. 6 - A sling-thrower puts a stone 0.250 kg in the...Ch. 6 - SSM A car weighing 10.7 kN and traveling at 13.4...Ch. 6 - In Fig. 6-59, block 1 of mass m1 = 2.0 kg and...Ch. 6 - SSM A filing cabinet weighing 556 N rests on the...Ch. 6 - In Fig. 6-60, a block weighing 22 N is held at...Ch. 6 - Prob. 91PCh. 6 - A circular curve of highway is designed for...Ch. 6 - A 1.5 kg box is initially at rest on a horizontal...Ch. 6 - A child weighing 140 N sits at rest at the top of...Ch. 6 - In Fig. 6-61 a fastidious worker pushes directly...Ch. 6 - A child places a picnic basket on the outer rim of...Ch. 6 - SSM A warehouse worker exerts a constant...Ch. 6 - In Fig. 6-62, a 5.0 kg block is sent sliding up a...Ch. 6 - An 11 kg block of steel is at rest on a horizontal...Ch. 6 - A ski that is placed on snow will stick to the...Ch. 6 - Playing near a road construction site, a child...Ch. 6 - A 100 N force, directed at an angle above a...Ch. 6 - A certain string can withstand a maximum tension...Ch. 6 - A four-person bobsled total mass = 630 kg comes...Ch. 6 - As a 40 N block slides down a plane that is...
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