College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 5, Problem 33PE
(a) By how much does a 65.0-kg mountain climber stretch her 0.800-cm diameter nylon rope when she hangs 35.0 m below a rock outcropping? (b) Does the answer seem to be consistent with what you have observed for nylon ropes? Would it make sense if the rope were actually a bungee cord?
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(a) The “lead” in pencils is a graphite composition with a Young's modulus of about 1×109 N / m2 . Calculate the change in length of the lead in an automatic pencil if you tap it straight into the pencil with a force of 4.0 N. The lead is 0.50 mm in diameter and 60 mm long. (b) Is the answer reasonable? That is, does it seem to be consistent with what you have observed when using pencils?
(a) The “lead” in pencils is a graphite composition with a Young’s modulus of about 1×109 N/m2 . Calculate the change in length of the lead in an automatic pencil if you tap it straight into the pencil with a force of 4.0 N. The lead is 0.50 mm in diameter and 60 mm long. (b) Is the answer reasonable? That is, does it seem to be consistent with what you have observed when using pencils?
One end of a light spring with spring constant k, is attached to the ceiling. A second light spring is attached to the lower end, with spring constant k,. An object of mass m is attached to the lower end of the
second spring.
(a) By how much does the pair of springs stretch? (Use the following as necessary: k,, k,, m, and g, the gravitational acceleration.)
Xtotal =
(b) What is the effective spring constant of the spring system? (Use the following as necessary: k,, k,, m, and g, the gravitational acceleration.)
keff
=
(c) What If? Two identical light springs with spring constant k, are now individually hung vertically from the ceiling and attached at each end of a symmetric object, such as a rectangular block with uniform
mass density. In this case, with the springs next to each other, we describe them as being in parallel. Find the effective spring constant of the pair of springs as a system in this situation in terms of k2.
(Use the following as necessary: ka, M, the mass of the…
Chapter 5 Solutions
College Physics
Ch. 5 - Define normal force. What is its relationship to...Ch. 5 - The glue on a piece of tape can exert forces. Can...Ch. 5 - When you learn to drive, you discover that you...Ch. 5 - When you push a piece of chalk across a...Ch. 5 - Athletes such as swimmers and bicyclists wear body...Ch. 5 - Two expressions were used for the drag force...Ch. 5 - As cars travel, oil and gasoline leaks onto the...Ch. 5 - Why can a squirrel jump from a tree branch to the...Ch. 5 - The elastic properties of the arteries are...Ch. 5 - What are you feeling when you feel your pulse?...
Ch. 5 - Examine different types of shoes, including sports...Ch. 5 - Would you expect your height to be different...Ch. 5 - Why can a squirrel from a tree branch to the...Ch. 5 - Explain why pregnant women often suffer from back...Ch. 5 - An old carpenter's trick to keep nails from...Ch. 5 - When a glass bottle full of vinegar warms up, both...Ch. 5 - A physics major is cooking breakfast when he...Ch. 5 - (a) When rebuilding her car's engine, a physics...Ch. 5 - (a) What is the maximum frictional force in the...Ch. 5 - Suppose you have a 120-kg wooden crate resting on...Ch. 5 - (a) If half of the weight of a small 1.00103 kg...Ch. 5 - A team of eight dogs pulls a sled with waxed wood...Ch. 5 - Consider the 65.0-kg ice skater being pushed by...Ch. 5 - Show that the acceleration of any object down a...Ch. 5 - Show that the acceleration of any object down an...Ch. 5 - Calculate the deceleration of a snow boarder going...Ch. 5 - (a) Calculate the acceleration of a skier heading...Ch. 5 - If an object is to rest on an incline without...Ch. 5 - Calculate the maximum deceleration of a car that...Ch. 5 - Calculate the maximum acceleration of a car that...Ch. 5 - Repeat Exercise 5.14 for a car with four-wheel...Ch. 5 - A freight train consists of two 8.00105 -kg...Ch. 5 - Consider the 52.0-kg mountain climber in Figure...Ch. 5 - A contestant in a winter sporting event pushes a...Ch. 5 - Repeat Exercise 5.18 with the contestant pulling...Ch. 5 - The terminal velocity of a person falling in air...Ch. 5 - A 60-kg and a go-kg skydiver jump from an airplane...Ch. 5 - A 560-g squirrel with a surface area of 930 cm2...Ch. 5 - To maintain a constant speed, the force provided...Ch. 5 - By what factor does the drag force on a car...Ch. 5 - Calculate the speed a spherical rain drop would...Ch. 5 - Using Stokes' law, verify that the units for...Ch. 5 - Find the terminal velocity of a spherical...Ch. 5 - Stokes' law describes sedimentation of particles...Ch. 5 - During a circus act, one performer swings upside...Ch. 5 - During a wrestling match, a 150 kg wrestler...Ch. 5 - (a) The "lead" in pencils is a graphite...Ch. 5 - TV broadcast antennas are the tallest artificial...Ch. 5 - (a) By how much does a 65.0-kg mountain climber...Ch. 5 - A 20.0-m tall hollow aluminum flagpole is...Ch. 5 - As an oil well is drilled, each new section of...Ch. 5 - Calculate the force a piano tuner applies to...Ch. 5 - A vertebra is subjected to a shearing force of 500...Ch. 5 - A disk between vertebrae in the spine is subjected...Ch. 5 - When using a pencil eraser, you exert a vertical...Ch. 5 - To consider the effect of wires hung on poles, we...Ch. 5 - A farmer making grape juice fills a glass bottle...Ch. 5 - (a) When water freezes, its volume increases by...Ch. 5 - This problem returns to the tightrope walker...Ch. 5 - The pole in Figure 5.24 is at a 90.0° bend in a...
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- An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?arrow_forwardA tutor told me that the answer to 1b was 10N but I don't understand why it would be 10N for the tension. If that is correct could someone break it down for me?arrow_forwardThe anchor rope of a sailboat is a nylon rope of length 60 mand diameter 1.3 cm. While anchored during a storm, thesailboat momentarily pulls on this rope with a force of 1.8 104 N. How much does the rope stretch?arrow_forward
- Logs weighing 1.3 kg and 2.2 kg lie on a flat surface and are connected by a rope that breaks at a force of 20 N. The coefficient of friction between the lighter log and the base is 0.50, and between the heavier log and the base 0.30. With what maximum force can we pull the lighter log so that the string does not break?arrow_forwardTwo ends of the string are fastened at two corners of a picture frame weighing 200 N which are 60 cm apart. The midpoint is suspended from the nail on the wall. If the string is 70 cm long, what tension does each part of the string exert in order to maintain equilibrium? O 200 N O 156 N O 164 N O 194 Narrow_forwardKindly check the answer mentioned in the picture containing the question before submitting the solution.arrow_forward
- The following wires are made of the same material. Which of these will have the largest extension, when the same tension is applied? a) Length = 50cm, diameter = 0.5mm b) Length = 100cm, diameter = 1mm c) Length = 200cm, diameter = 2mm d) Length = 300cm, diameter = 3mmarrow_forwardConsider the figure above, where a rigid beam of negligible mass and 10 m long is supported by a cable attached to a spring. When NO block is hung from the beam, the length L (cable-spring) is equal to 5 m. Assume that immediately after block (weight of 250 N) is hung at the end of the beam the spring does not stretch, calculate the tension under this assumption. Using this tension find how much the spring stretches. Express the amount the spring is stretched in cm. k =8275 N/m.arrow_forwardConsider the figure above, where a rigid beam of negligible mass and 10 m long is supported by a cable attached to a spring. When NO block is hung from the beam, the length L (cable-spring) is equal to 5 m. Assume that immediately after block (weight of 260 N) is hung at the end of the beam the spring does not stretch, calculate the tension under this assumption. Using this tension find how much the spring stretches. Express the amount the spring is stretched in cm. k =8275 N/m.arrow_forward
- A 5 kg mass hangs from the end of a pendulum. Determine the horizontal force necessary to pull the mass so that the pendulum forms an angle of 30° with respect to the vertical?arrow_forwardA laboratory exercise on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each m, m2 string is strung over a separate pulley clamped to the edge of the platform and then tied to a freely hanging mass, so that each string is under tension and the ring is suspended m, parallel to the table surface. There is a mass of m1 157 g located at 0, = 24.5° and a second masss of m2 = 215 g located at 02 = 291°. Calculate the mass mg and the location 03 (in degrees) that will balance the system and hold the ring stationary over the center of the platform. m3 03arrow_forwardTHE STRING ATTACHED TO THE KITE WEIGHS 0.4 OZ/FT. IF THE TENSION IN THE STRING IS 2.8 LB AT O AND 3.2 LB AT B, DETERMINE THE LENGTH S OF THE STRING AND THE HEIGHT H OF THE KITE.arrow_forward
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