A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 105 N/m². When it is subjected to a pressure of 2.0 x 105 Pa the length of its any of its sides is: (a) 0.85 cm, (b) 1.15 cm, (c) 1.66 cm, (d) 2.0 cm, (e) none of these.

A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 105 N/m². When it is subjected to a pressure of 2.0 x 105 Pa the length of its any of its sides is: (a) 0.85 cm, (b) 1.15 cm, (c) 1.66 cm, (d) 2.0 cm, (e) none of these.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 47PQ

See similar textbooks

Related questions

Q: The unknown metal cube measures 4.2 x 10 ― 2 m has a stress of 9.2 x 1011 N/m 2 and a change of…

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

Q: A 4.0 m steel beam with a cross sectional area of 1.0 x 10-2 m² and a Young's modulus of 2.0 x 1011…

A: Given:- The length of the steel beam L = 4 m The cross-sectional area of the beam is A = 1.0 x…

Q: On a forest trail a 4m long birch tree trunk is laid across a ravine as a bridge. The trunk is 4m…

A: Given that, The length of the trunk = 4 mThe diameter of the trunk = 20 cmThe Young's modulus of…

Q: A 3800N load is hung on the end of an 18-m steel wire. What must be its diameter so that the stretch…

A: Given: The load is 3800 N. The length of the wire is 18 m. The elongation in the wire is 9 mm.…

Q: The bell crank is in equilibrium for the forces acting in rods (1) and (2). The bell crank is…

A: Solution:- Using the FBD shown, calculate the reaction forces that act on the…

Q: A bar of length 100 cm is supported at its two ends. The breadth and depth of bar 5 cm and 0.5 cm…

A: We have to find the depression produced in the bar. Area, A=5 mm2=5×10-6 m2, Length, L=100 cm=1 m,…

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: A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 10³ N/m². When it is…

Q: A cube with edges exactly 2.00 cm long is made of material with a bulk modulus of 3.50 x 10° N/m².…

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: Assume that Young's Modulus for bone is 1.50 ✕ 1010 N/m2 and that the bone will fracture if more…

A: (a) Let us calculate the cross-sectional area, A of the bone:

Q: A cube with edges exactly 2 cm long is made of material with a bulk modulus of 3.5 x 10 9 N/m 2.…

A: The Bulk Modulus of a system is given as

Q: A wire of 0.5 mm cross-section diameter nd 120 cm length is suspended vertically. What is the…

A: Write the given value of this problem: Diameter of wire(d)=0.5 mm or 0.5×10-3mLength of wire(L)=120…

Q: A solid gold bar is pulled up from the hold of the sunken RMS Titanic. (a) What happens to its…

A: Given,A solid gold bar is pulled up from the hold of the sunken RMS Titanic.

Q: To compress a liquid by 10 % of its original volume, the pressure required 18 2 x 105 N/m?. The bulk…

A: To find-Bulk modulus (K)=?Given data-dV=(10%) VdVV=10100VdV=10010dP=2×105 N/m2

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

A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 105 N/m². When it is
subjected to a pressure of 2.0 x 105 Pa the length of its any of its sides is:
(a) 0.85 cm, (b) 1.15 cm, (c) 1.66 cm, (d) 2.0 cm, (e) none of these.
1

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Calculation for change in volume.

VIEW

Step 3: Calculation for length of any of side of given cube.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 22 images

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

A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a second 100-N weight is added to the wire, it stretches 3.0 mm. The diameter and the length of the wire are 1.0 mm and2.0 m, respectively. What is Young’s modulus of the metal used to manufacture the wire?
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?
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
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
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?
Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial diamond of volume 1.00 106 m3 is formed under a pressure of 5.00 GPa. Find the change in its volume when it is released from the press and brought to atmospheric pressure. Take the diamonds bulk modulus to be B = 194 GPa.
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 ?
Because atmospheric pressure is about 105 N/m2 and the area of a persons chest is about 0.13 m2, the force of the atmosphere on ones chest is around 13 000 N. In view of this enormous force, why dont our bodies collapse?
Using the equation of the previous problem, find the viscosity of motor oil in which a steel ball of radius 0.8 mm falls a terminal speed of 4.32 cm/s. The densities of the ball and the oil are 7.86 and 0.88 g/mL, respectively.
A host pours the remnants of several of wine into a jug a party. The host then inserts a cork with a 2.00-cm diameter into the bottle, placing it in direct contact with the wine. The host is amazed when the host pounds the cork into place and the bottom of the jug (with a 14.0-cm diameter) breaks away. Calculate the extra force exerted against the bottom if he pounded the cork with a 120-N force.
An oil gusher shoots crude 25.0 m the through a pipe with a 0.100-m diameter. Neglecting resistance but not resistance of the pipe, and assuming laminar flow, calculate pressure at be entrance of be 50.0-m-Iong vertical pipe. Take of the oil to be 900 kg/m3 and its viscosity to be 100(N/m2) s (or 1.00 Pa s). Note that you must take into account the pressure due to 50.0-m column of oil in pipe.
A certain hydraulic system is designed to exert a force 100 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.