Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 5, Problem 69P
Repeat the preceding problem for an arbitrary value of by μk, using calculus to find the minimum force needed to move the trunk with constant speed.
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A desperate hiker has to think fast to help his
friend who has fallen below him. Quickly, he ties a
rope to a rock of mass ma and makes his way over
the ledge (see the figure).
If the coefficient of maximum static friction
between the rock and the ground is µ, and the mass
of the hiker is mâ, what is the maximum mass of
the friend, mc, that the rock can hold so the hikers
can then make their way up over the ledge?
Assume the rope is parallel to the ground and the
point where the rope passes over the ledge
is frictionless.
mc
= Ju
A group of students carry out an experiment in which they want to find the coefficient of kinetic friction between a box and a table. For this, a wooden box is used that has a mass of 250 gr and additional masses that are placed on top. The box is pulled and the force at which it moves at constant speed is measured. Determine:
a) The normal force when the box had no masses on top and when masses were placed on top of the box. (Fill in the table below) (You have to show an example of the calculation)
Mass (gr)
Normal Force (N)
0
5
10
15
20
25
30
35
40
45
50
A group of students carry out an experiment in which they want to find the coefficient of kinetic friction between a box and a table. For this, a wooden box is used that has a mass of 250 gr and additional masses that are placed on top. The box is pulled and the force at which it moves at constant speed is measured. Determine:
a) The normal force when the box had no masses on top and when masses were placed on top of the box. (Fill in the table below) (You have to show an example of the calculation)
Mass (gr)
Normal Force (N)
0
5
10
15
20
25
30
35
40
45
50
b) After calculating the normal force of the box, the students proceeded to measure the force applied to the 250-gr box. These values of the applied force are shown in the table. With this information, make a graph of normal force vs. applied force.
Applied Force (N)
0.5
19
30
33
43
57
80
83
109
115
118
c) Determine the coefficient of kinetic friction.
Chapter 5 Solutions
Essential University Physics (3rd Edition)
Ch. 5.1 - A roofers toolbox rests on an essentially How does...Ch. 5.2 - In the figure below weve replaced one of the hands...Ch. 5.3 - You whirl a bucket of water around in a vertical...Ch. 5.4 - The figure shows a logging vehicle pulling a...Ch. 5 - Compare the net force on a heavy trunk when its...Ch. 5 - The force of static friction acts only between...Ch. 5 - A jet plane flies at constant speed in a vertical...Ch. 5 - In cross-country skiing, skis should easily glide...Ch. 5 - Why do airplanes bank when turning?Ch. 5 - Why is it easier for a child to stand nearer the...
Ch. 5 - Gravity pulls a satellite toward Earths center. So...Ch. 5 - Explain why a car with ABS brakes can have a...Ch. 5 - A fishing line has a 20-lb breaking strength. Is...Ch. 5 - Two blocks rest on slopes of unequal angles,...Ch. 5 - Youre on a plane undergoing a banked turn, so...Ch. 5 - A backcountry skier weighing 700 N skis down a...Ch. 5 - Two forces, both in the x-y plane, act on a...Ch. 5 - Two forces act on a 3.1-kg mass that undergoes...Ch. 5 - At what angle should you tilt an air table to...Ch. 5 - A skier starts from rest at the top of a 24 slope...Ch. 5 - A tow truck is connected to a 1400-kg car by a...Ch. 5 - Studies of gymnasts show that their high rate of...Ch. 5 - Find the minimum slope angle for which the skier...Ch. 5 - Section 5.2 Multiple Objects Your 12-kg baby...Ch. 5 - If the left-hand slope in Fig. 5.30 makes a 60...Ch. 5 - Suppose the angles shown in Fig. 5.30 are 60 and...Ch. 5 - Two unfortunate climbers, roped together, are...Ch. 5 - Suppose the Moon were held in its orbit not by...Ch. 5 - Show that the force needed to keep a mass m in a...Ch. 5 - A 940-g rock is whirled in a horizontal circle at...Ch. 5 - Youre investigating a subway accident in which a...Ch. 5 - A tetherball on a 1.55-m rope is struck so that it...Ch. 5 - An airplane goes into a turn 3.6 km in radius. If...Ch. 5 - Movers slide a 73-kg file cabinet along a floor...Ch. 5 - A hockey puck is given an initial speed of 14 m/s....Ch. 5 - Starting from rest, a skier slides 100 m down a 28...Ch. 5 - A car moving at 40 km/h negotiates a 130-m-radius...Ch. 5 - Prob. 34PCh. 5 - A block is launched with initial speed 2.2 m/s up...Ch. 5 - In the process of mitosis (cell division), two...Ch. 5 - A 14.6-kg monkey hangs from the middle of a...Ch. 5 - A camper hangs a 26-kg pack between two trees...Ch. 5 - A mass m, undergoes circular motion of radius R on...Ch. 5 - Patients with severe leg breaks arc often placed...Ch. 5 - Riders on the Great American Revolution...Ch. 5 - A 45-kg skater rounds a 5.0-m-radius turn at 6.3...Ch. 5 - When a piano turns, it banks as shown in Fig. 5.35...Ch. 5 - You whirl a bucket of water in a vertical circle...Ch. 5 - A child sleds down an 8.5 slope at constant speed....Ch. 5 - The handle of a 22-kg lawnmower makes a 35 angle...Ch. 5 - Repeal Example 5.4, now assuming that the...Ch. 5 - A bat crashes into the vertical front of an...Ch. 5 - The coefficient of static friction between steel...Ch. 5 - A bug crawls outward from the center of a CD...Ch. 5 - A 310-g paperback book rests on a 1.2-kg textbook....Ch. 5 - Children sled down a41-m-long hill inclined at 25....Ch. 5 - In a typical front-wheel-drive car, 70% of the...Ch. 5 - A police officer investigating an accident...Ch. 5 - A slide inclined at 35 takes bathers into a...Ch. 5 - You try to move a heavy trunk, pushing down and...Ch. 5 - A block is shoved up a 22 slope with an initial...Ch. 5 - At the end of a factory production line, boxes...Ch. 5 - Youre in traffic court, arguing against a speeding...Ch. 5 - A space station is in the shape of a hollow ring,...Ch. 5 - In a loop-the-loop roller coaster, show that a car...Ch. 5 - Find an expression for the minimum frictional...Ch. 5 - An astronaut is training in an earthbound...Ch. 5 - You stand on a spring scale at the north pole and...Ch. 5 - Driving in thick fog on a horizontal road, you...Ch. 5 - A block is projected up an incline at angle . It...Ch. 5 - A 2.1-kg mass is connected to a spring with spring...Ch. 5 - Take k = 0.75 in Example 5.11, and plot the...Ch. 5 - Repeat the preceding problem for an arbitrary...Ch. 5 - Moving through a liquid, an object of mass m...Ch. 5 - Suppose the object in Problem 70 had an initial...Ch. 5 - A block is launched with speed v0 up a slope...Ch. 5 - A florist asks you to make a window display with...Ch. 5 - Youre al the state fair. A sideshow barker claims...Ch. 5 - One of the limiting factors in high-performance...Ch. 5 - Figure 5.39 shows an apparatus used to verify...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...
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