A metal cube made of aluminum has a mass of 2 kg. (a) What is the mass of an aluminum cube that is three times as tall and three times as wide? (b) By what factor does the weight increase? (c) By what factor does the strength increase?

A metal cube made of aluminum has a mass of 2 kg. (a) What is the mass of an aluminum cube that is three times as tall and three times as wide? (b) By what factor does the weight increase? (c) By what factor does the strength increase?

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 85PQ

See similar textbooks

Related questions

Q: A motor boat is pulling a skier across a lake. The mass of the skier is 71 kg and their coefficient…

Q: Direction: Describe the intermolecular force/s exhibited on the following liquids 4. An ant…

A: 4. An ant suspended at the surface of the water: The intermolecular force exhibited on the surface…

Q: In the figure, a block of mass m = 3.15 kg is pulled along a horizontal frictionless floor by a cord…

Q: A 0.352 kg particle moves in an xy plane according to x(t) = -11.0+ 1.00 t-5.00 t³ and y(t) =…

A: The mass of the particle is given as: m=0.352 kg The x and y positions are given as…

Q: 2. The great white shark can have a mass as great as 3400 kg. Suppose such a shark is cruising the…

Q: 0 cm Force on q₁ by q2 = 629.129 N 2 -10 3 91 Force on 9₂ by q₁ = 629.129 N Charge 1 -7 µC 10 10 6…

Q: 0 A cube with side length 12 cm is oriented parallel to the coordinate planes as shown. The cube is…

A: The flux us given as the dot product of electric field vector and the area vector . The direction of…

Q: What electric field strength would store 10.0 J of energy in every 6.00 mm³ of space?

Q: The force exerted on a point charge of 6μC by a point charge of 9μC that is located 75cm away is…

Q: A beam contains 5.1 x 10° doubly charged positive ions per cubic centimeter, all of which are moving…

Q: (a) In which situations does the object's acceleration have an x component? 3N 2N AN AN 0000 AN (1)…

Q: The inverse Fourier transform of the position probability amplitude y(x,t) is: a. w(p.t): O b. y…

Q: In the circuit below the Vo equals 18 V, V1 = 27, R1 = 3 € and R2 = 3 €. Determine the current…

Q: Assume that your body (with temperature of 310 K and a surface area of 2 m2) can be approximated as…

Q: You create a plot of voltage (in V) vs. time (in s) for an RC circuit as the capacitor is charging,…

A: We have the given value of A, B, C A=4.211±0.4211 B=0.1699±0.007211 C=1.901±0.2051 Given Capacitor…

Q: You drive a beat-up pickup truck down a straight road for 5.2 mi at 43 mi/h, at which point you run…

Q: When an object is sitting on a sloped surface that is tilted up at an angle of 30° from the…

A: When an object of mass m is sitting on a sloped surface that is tilted up at an angle of 30° from…

Q: Below is a diagram of a node in a circuit. The current is known for all but one of the wires…

Q: Consider a horizontal pinball launcher as shown in the diagram below. The 80.6 g ball with a radius…

Q: A man weighing 690 N and a woman weighing 420 N have the same momentum. What is the ratio of the…

A: Given data: Weight of the man, Wm=690 N Weight of the women, Ww=420 N Kinetic energy of the man be…

Q: The figure below shows equipotential surfaces (cross-section view in the x-y plane). In which of the…

Q: The figure shows a man sitting in a bosun's chair that dangles from a massless rope, which runs over…

Q: A 4.6 kg rocket is launched directly upward from Earth at 9.00 km/s (rE = 6.38 x 10^ 6m, mE = 5.98 x…

Q: The diagram below shows a junction between four wires the currents for three of the wires are…

Q: A combination of series and parallel connections of capacitors is shown in the figure. The sizes of…

Q: 7. A billiard ball is shot west at 3.00 m/s. A second, identical billiard ball is shot east at 2.00…

Q: A charged particle (Q=1 C, m = 0.1 kg) moves at a speed of 70 m/s perpendicular to the direction of…

A: Answer the following question is

Q: Four resistors, two of which are 161 ohms and two of which are 558 ohms, are all connected in…

Q: In the circuit shown in the figure, both capacitors are initially charged to 45.0 V. a. How long…

Q: Problem-4 A very large, square, flat, plane sheet of charge with edge length L = 2.00m with a…

A: Given: Length of square sheet = 2 mCharge density of sheet = σ = -2.67×10-10 C/m2At t = 0 ,…

Q: 3. A star of mass 7×1030 kg is located at (5x1012,2x 1012,0)m. A planet of mass3x1024 kg is located…

Q: uppose m2 equals 2.00 kg and it's on a frictionless surface. If m1 = 8.2 kg, someone holds m2 at…

Q: Current Attempt in Progress A cat rides a merry-go-round turning with uniform circular motion. At…

Q: Consider the circuit shown in the figure. (a) When the switch is in position a, for what value of ?…

Q: For the wavefunctions and and the operator A the bra-ket notation of the integral q*Ãødt = : ○a. O…

A: Bra-ket notation is a standard notation for expressing quantum states in quantum mechanics theory…

Q: Two thin lenses with a focal length of magnitude 10.5 cm, the first diverging and the second…

Q: The terminal velocity of a 4x10-5 kg raindrop is about 9 m/s. Assume a drag force FD = -bv. Part A…

A: Mass of rain drop m= 4(10-5 ) kg Terminal velocity vt = 9 m/ s Drag force FD =-bv

Q: 0 cm Force on q₁ by q2 = 629.129 N 2 -10 3 91 Force on 9₂ by q₁ = 629.129 N Charge 1 -7 μC 10 6 7…

A: Given value--- all value given in Figure. We have to find--- free body diagram ?

Q: A 3.0 kg block is thrown downward from a point 37 m above the Earth's surface. At what height above…

Q: A sound has an intensity of 0.0000024 Watts per square meter. What is this sound's decibel level?

Q: Three resistors, each 86.2 ohms, are connected in series. How much current will flow through this…

Q: 3. Use Ampere's Law to calculate the magnetic field from an infinitely long, straight wire or all…

Q: An 80 kgkg construction worker sits down 2.0 mm from the end of a 1450 kgkg steel beam to eat his…

A: Given data- The person sits at a distance of d=2.0 m Mass of the steel beam is m1=1450 kg Mass of…

Q: -Calculate the average power of the discrete-time wave shown in fig a? * ******* O -1 O 1 06 O 0…

A: 1st question... Avarage power is 1 unit

Q: In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley…

Q: Direction: Describe the intermolecular force/s exhibited on the following liquids 1. Heating of…

A: Given: Only 3 parts will be answered. Inter molecular forces.

Q: A straight wire of mass 10.7 g and length 5.0 cm is suspended from two identical springs that, in…

Q: An object with a mass of m= 3.00 kg is traveling with an initial velocity ofv (5.2012.403) m/s. (a)…

Q: 1. A long rectangular U-shaped guide rail, angled to the horizontal, on which a bare wire slides…

Q: The atomic weight of 3484Kr is 83.9115. Solve the following: (a) the mass defect, (b) the binding…

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 metal cube made of aluminum has a mass of 2 kg.

(a) What is the mass of an aluminum cube that is three times as tall and three times as wide?

(b) By what factor does the weight increase?

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 : Part (a)

VIEW

Step 2 : Part (b) and Part (c)

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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 uniform silver sphere and a uniform gold sphere have the same mass. What is the ratio of the radius of the silver sphere to the radius of the gold sphere?
A piece of wire of length 1.00 m is cut into two parts, one of which is bent into a shape of a circle and the other into the shape of a square. How should the wire be cut so that the sum of the enclosed areas is a minimum?
A lead cube has a total mass of 50 kg. What is the length of the side?
The question: Add the following quantities: 4.05 kg + 567.95 g + 100.1 g My solution: 4.05 + 567.95 + 100.1 = 672.1 There are several things wrong with my solution. Tell me what they are.
An engineering apprentice is given a rectangular sheet of metal of dimensions 500mm x 300mm. She is asked to cut out four identical squares, one in each corner of the sheet, fold up the sides and weld the corner seams to make a metal box. What should she make the length of the sides of the squares in order to maximise the volume?
Question 6: Suppose you have a coffee mug with a circular cross-section and vertical sides. What is its inside radius in cm if it holds 375 g of coffee when filled to a depth of 7.5 cm? Density of coffee is 1000 kg/m³. Unit conversion: 1 kg = 1000 g; 1 m = 100 cm.
There is relatively little empty space between atoms in solids and liquids, so that the average density of an atom is about the same as matter on a macroscopic scale-approximately 103 kg/m³. The nucleus of an atom has a radius about 10-5 that of the atom and contains nearly all the mass of the entire atom. (a) What is the approximate density (in kg/m3) of nucleus? 1000000000000 x in kg/m3 (b) One remnant of a supernova, called a neutron star, can have the density of a nucleus. What would be the radius (in m) of a neutron star with a mass 1.3 times that of our Sun (the radius of the Sun is 7 x 108 m)? 7640 X m
A cylindrical piece of aluminum is 4.25 cm tall and 1.95 cm in radius. How much does it weigh?
An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 ✕ 103 kg/m3. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.645 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 21.2 cm. What is the moment of inertia (in kg · m2) of the tire about an axis perpendicular to the page through its center?
An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 103 kg/m3. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.660 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 17.8 cm. What is the moment of inertia (in kg m2) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 50.5 em Tread kg m?
An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 10³ kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.665 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 16.8 cm. What is the moment of inertia (in kg. m²) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm Tread 16.5 cm 30.5 cm kg - m²
An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 103 kg/m3. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.630 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 16.0 cm. What is the moment of inertia (in kg · m2) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 30.5 cm Tread kg · m2