Suppose that an object was formed using 7.25 x 10° Pa. When it was released from the press and brought to atmospheric pressure, 1.01 x 10° Pa, its volume changed from 6.829 x 10° m³ to 7.12 x 10* m, what is the bulk modulus of the object?

Suppose that an object was formed using 7.25 x 10° Pa. When it was released from the press and brought to atmospheric pressure, 1.01 x 10° Pa, its volume changed from 6.829 x 10° m³ to 7.12 x 10* m, what is the bulk modulus of the object?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 62P: Normal forces of magnitude 1.0106N are applied uniformly to a spherical surface enclosing a volume...

See similar textbooks

Related questions

Q: Compute the decrease in volume of 2.5 x 10-4 m³, of mercury when subjected to a pressure of 20 x 105…

A: Given data: mercury's volume V=2.5×10-4 m3 Pressure P=20×105 N/m2 bulk modulus β=2.8×1010N/m2

Q: The elevator in a vertical mine shaft is supported by a steel cable of cross-sectional area 3.20 x…

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.60 mm, if the wire…

A: The diameter of the piano wire, D=0.900 mm Therefore, the radius of the wire, r=D2=0.450 mm =…

Q: In a structure you need to place a 7.5 m steel wire that does not stretch more than 6.7 cm when a…

A: Given,

Q: The Achilles tendon, which connects the calf muscles to the heel, is the thickest and strongest…

Q: Find the Young’s modulus of the wire. (g= 9.81 m/s/s)

Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

A: Given : L = 50 m ∆L = 1 cm = 0.01 m m = 70 kg Y = 3.51 x 109 N/m2

Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

Q: A cube with original edges of L=3.5 cm long is made of material with a bulk modulus of 8.8*10^9…

Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

Q: Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial…

A: Initial volume (V) = 1.28×10-6 m3 Pressure or Stress (P) = 5.05 GPa or 5.05×109 Pa Bulk Modulus (B)…

Q: If a pressure applied to 1 kg of water is 13.2 x 10^7 N/m^2 causes a percentage reduction in volume…

Q: In a structure you need to place a 6.7 m steel wire that does not stretch more than 2.5 cm when a…

Q: A string has a diameter of 1 cm and the original length of 2 m. The string is pulled by a force of…

A: Denote the change in length of the string, having original length L & cross sectional area A due…

Q: A 45 kg boy whose leg bones are 5 cm? in area and 50 cm long falls through a height of 2 m without…

A: Given data m=45 kg B. S= 0.9×108 N/m2 A= 5cm2 L=50 cm loss in PE = gain energy Stored in leg bones…

Q: When water freezes, its volume increases by 9.05% (that is, ΔV/V0=9.05×10^−2) a. What force per…

Q: In a structure you need to place a 1.7 m steel wire that does not stretch more than 3.7 cm when a…

A: Given that, Length steel wire = 1.7 m Stretched length = 3.7 cm Force = 417 N Young's modulus =…

Q: A 215-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000*10-5 m2, and Young's…

A: Given data: Mass (m) =215-kg Length (L) = 3.30 m cross-sectional area (A) =2.000*10-5 m2 Young's…

Q: The Young modulus of steel is determined using a length of steel wire and is found to have the value…

Q: A 5.0 × 102-N object is hung from the end of a wire of a cross-sectional area of 0.010 cm2. The…

A: Given data: Force (F) = 5.0×102 N Cross-sectional area (A) = 0.010 cm2 = 0.010×10-4 m2 Original…

Q: A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length…

A: This question involves two concepts: (A) Free body diagram and subsequent condition for the static…

Q: A cubic marshmallow is 3 cm on each side sitting in a room at atmospheric pressure (1.01x105 Pa).…

A: Original side of cube is Pressure is The new side of cube is The pressure at which volume expands is…

Q: One end of a wire 2 m long and 02 cm in cross-section is fixed in a ceiling and a load of 4:8 kg is…

Q: A 50-kg bucket of concrete is suspended from a steel wire that is 1.0 mm in diameter 1.0 mm and 11.2…

A: As we know Stress = γ * Strain (γ = Young's modulus = 2.0 x 1011…

Q: The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean.…

A: Given: The increase in pressure is 1.0×104 N/m2 per meter. The bulk modulus of Pyrex is 2.6×1010…

Q: A 28.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.40…

A: Y=mg/A∆L/L =mgLA∆L∆L=mgLYA

Q: A mass of 3000 kg hangs at the end of a steel rod 5.0 meters in length. The area of the cross…

A: Given Data: The mass of a steel rod is, m=3000 kg The actual length of a rod is, l=5 m The…

Q: For a brass alloy, the stress at which plastic deformation begins is 350 MPa, and the modulus of…

A: Solution: Given that Plastic strentgh = 350 MPa E = 103 GPa

Q: A metal rod that is 3.10 m long and 0.48 cm2 in cross-sectional area is found to stretch 0.19 cm…

A: Length of the rod L= 3.10 mCross sectional area of the rod A=0.48cm2= 0.000048 m2Tension in rod…

Q: Ex. 40 : A steel wire of length 1 m and diameter 0.2 mm is elongated by 1 mm due to a weight of 3.14…

A: To Find- Young's modulus of steel wire (Y)=? Given- g=9.8 m/s2 Length of wire (L)=1 m Diameter of…

Q: Find the diameter of a 17m (L) long steel wire that will stretch no more than 0.009m (AL) when a…

Q: An oil specimen has an initial volume of 597 cm³ and is subjected to 3.6 MPa pressure increase. The…

A: Initial volume V=597 cm3 Rise in volume △V=0.35 cm3 Rise in pressure △P=3.6 MPa=3.6×106 Pa To find:…

Q: An aluminium (Bulk Modulus =70.0 GPa) sphere of radius 53.1 cm is dropped to the bottom of a 2.80 m…

A: We have givenBulk Modulus =70 GPaSphere of radius =53.1 cmDepth of dropped sphere =2.80 m

Q: A composite material with a bulk modulus of 4.50x109Pa is made in the shape of a cube 1.50cm on a…

Q: A 62kg load is suspended from a steel wire of diameter 2mm and length 10m. By what distance will the…

Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

Suppose that an object was formed using 7.25 x 10° Pa. When it was released from the press and
brought to atmospheric pressure, 1.01 x 10° Pa, its volume changed from 6.829 x 10* m³ to 7.12 x
10* m, what is the bulk modulus of the object?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Alarge uniform cylindrical steel rod of density =7.8g/cm3 is 2.0 m long and has a diameter of 5.0 cm. the rod is fastened to a concrete floor with its long axis vertical.what is the normal stress in the rod at the cross-section located at (a)1.0 mfrom its lower end?(b)1.5 m from the lower end?
Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod stretches by 0.15mm under some stress, how much does the steel rod stretch under the same stress?
Normal forces of magnitude 1.0106N are applied uniformly to a spherical surface enclosing a volume of a liquid. This causes the radius of the surface to decrease from 50.000 cm to 49.995 cm. What is the bulk modulus of the liquid?
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 ?
Review the relationship between stress and strain. Can you find any similarities between the two quantities?
Two thin rods, one made of steel and the other of aluminium, are joined end to end. Each rod is 2.0m long and has cross-sectional area 9.1mm2 . If a 10,000N tensile force is applied at each end of the combination, find: (a) stress in each rod; (b) strain in each rod; and, (c) elongation of each rod.
Can Young’s modulus have a negative value? What about the bulk modulus?
By how much does a 65.0kg mountain climber stretch her 0.800cm diameter nylon rope when she hangs 35.0m below a rock outcropping? (For nylon, Y=1.35109Pa. )
A brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force. Is the cross-sectional radius of the brass wire more, less, or equal to the cross-sectional radius of the steel wire? Explain. Youngs moduli for brass and steel are 1.0 1010 N/m2 and 2.0 1011 N/m2, respectively.
A 90-kg mountain climber bangs from a nylon rope and stretches it by 25.0 cm. If the rope was originally 30.0 m bog and its diameter is 1.0 cm, is Young’s modulus for the nylon?
The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.50 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 50.0 cm2. Youngs modulus for the concrete is 30.0 109 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.00 106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released? (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length? (d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length? (e) Find the required original tension T1 in the rod. Figure P12.27
A copper rod with length 1.4 m and cross-sectional area 2.0 cm2 is fastened to a steel rod of length L and cross-sectional area 1.0 cm2. The compound structure is pulled on each side by two forces of equal magnitude 6.00 104 N (Fig. P14.57). Find the length L of the steel rod if the elongations (L) of the two rods are equal. Use the values Ysteel = 2.0 1011 Pa and YCu = 1.1 1011 Pa. FIGURE P14.57