When water freezes, it expands by about 9.00%. What pressure increase would occur inside your automobile engine block if the water in it froze? (The bulk modulus of ice is 2.00 × 109 N/m2.)

Q: The pressure on a volume of liquid V= 1.6 m3 at the surface is approximately equal to the…

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Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A: solution as .

Q: The Young’s modulus for steel is at most 215 GPa (1 GPa= 109 N/m2).  If you apply a force of 50.0…

A: Given quantities: Young's modulus of steel (Y) = 215 GPa Applied force (F) = 50 GPa initial length…

Q: A 200.- kg load is hung on a wire of length 4.00 m, crosssectional area 0.200 x 10-4 m2, and Young’s…

A: Write the expression for the increase in length.

Q: For safety in climbing, a mountaineer uses a nylon rope that is 50. m long and 1.0 cm in diameter.…

A:

Q: An anchor made of cast iron of bulk modulus 60.0 × 109 PA and volume of 0.230 m3, is lowered over…

A: Given  Bulk Modulus B=60×109 Pa Change in pressure ∆P=1.75 × 106 Pa. Volume V=0.230 m3

Q: (TUATION 3: A vertical brass post is 3.75m long and has a diameter of 25 cm. If the brass post is to…

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Q: What is the pressure required to reduce the volume of a brass block by 10%?[Given the Bulk Modulus…

A: To solve the question we will use the formula: Bulk modulus, k=PdVV

Q: A man with a mass of 70.5 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm and…

A: mass of man (m) = 70.5 kg weight (w) = m×g = 70.5×9.8= 690.9 N Cross sectional area of femur (A) = 8…

Q: An aluminum rod of length 1.0 m and cross-sectional area 0.0005 m2 is used to support a load of…

A: Given data: Original Length (L) = 1.0 m Cross-sectional area (A) = 0.0005 m2 Force (F) = 5000 N…

Q: A cylindrical aluminum rod, with an initial length of 0.8769 m and radius 996.0 µm, is clamped in…

A: Given initial length of cylindrical aluminum rod Li = 0.8769 m initial radius of cylindrical…

Q: A sphere of copper has a radius of 3.00 cm and is compressed uniformly by a force of 4.00 x 10° N.…

A: Given that, Force (F)= 4× 10⁸ N Radius (r)= 0.03 m Bulk modulus (k)= 140× 10⁹ N/m² Let the final…

Q: The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150…

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Q: What is maximum diameter of brass rod if it has to support a 400N load without exceeding its elastic…

A: Let Y be the stress on the brass rod, F be the load, A be the cross-sectional area, and D be the…

Q: Suppose a person’s femoral diaphysis is idealized as a circular cylinder with a periosteal diameter…

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Q: The cross-sectional area of each member of the truss is 42 cm². B D 100 kN 300 kN Determine the…

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Q: a diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a…

A:

Q: 'One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A:

Q: Assume Young's modulus of a femure bone of an effective diameter 2.5 cm is 1.5 x1010 N/m2. The bone…

A: Given: A femur bone of an effective diameter 2.5 cm and it's Young's modulus = 1.5 × 1010 N/m2.…

Q: A 200-kg load is hung on a wire having a length of 4.00 m, cross-sectional area 0.200 x 10-4 m2, and…

A: Load = 200 kg Length of wire (L) = 4 m Weight of load = 200×9.8= 1960 NArea = 2×10-5 m2Young's…

Q: For safety in climbing, a mountaineer uses a nylon rope that is 50. m long and 1.0 cm in diameter.…

A: Young’s modulus is given by,

Q: For safety in climbing, a mountaineer uses a nylon rope that is 50 m long and 1.0 cm in diameter.…

A:

Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A:

Q: Oil in hydraulic cylinder is compressed from an initial volume 3 m³ to 2.12 m³. If the pressure of…

A: Initial volume, v = 3 m³ Final volume, V = 2.12 m³ Initial pressure, p = 50 MPa Final pressure, P =…

Q: A 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14…

A: Given data: The height of cylinder is l=5 m. Load supported P=450 kN. Maximum allowable stress is…

Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

Q: When a certain liquid freezes, it expands about 10.0%. What would be the pressure increase inside an…

A:

Q: One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A: We need to calculate the elongation of the rod when the given force is applied.

Q: When water freezes, it expands by about 9.00%. What pressure increase will occur inside your…

A: Given data The ratio of the expansion volume of water when the freeze is ∆VV = 9 % = 0.09 The bulk…

Q: When water freezes, it expands by about 9%. What would be the pressure increase inside your…

A:

Q: A 200-kg load is hung on a wire with a length of 4.00 m, a cross-sectional area of 0.200 x 10-4…

A:

Q: When a certain liquid freezes, it expands about 10.0%. What would be the pressure increase inside an…

A: Bulk modulus is relative change in volume of a body produced by compressive or tensile stress. And…

Q: A solid steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure…

A: Given : radius, r= 2 m  Pressure, P = 15 MN/m2 = 15 × 106 N/m2  Bulk modulus, B=1.6×1011 N/m2  Find…

Q: A metallic cube of side 125cm is subjected to a uniform force acting normal to the whole surface of…

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Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.80…

A: Given data:  Length (L) = 22.0 m Cross sectional area (A) = 2.01 × 10-3 m2 Mass (m) = 3.80 × 103 kg…

Q: When water freezes, it expands about 8.65%. What would be the pressure increase inside your…

A: The expansion of the freeze water is, The bulk modulus of the ice is,

Q: A marble column of cross-sectional area 0.80 m2 supports a mass of 18000 kg. The elastic modulus for…

A:

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: shear modulus is given by, G =FlA∆xwhere, F=force acting on the body =2×106 dynes = 20 Nl =initial…

Q: A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 × 10–4 m2, and Young’s…

A:

Q: A solid copper cube has an edge length of 85.3 cm. Ho w much st The bulk modulus of copper is 1.4x…

A: givenLi=85.3 cmLf=85 cmK=1.4×1011 N/m2

Q: How large a pressure increase (in ATM) must be applied to water if it is to be compressed in volume…

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Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

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Q: A plank 2.00 cm thick and 14.7 cm wide is firmly attached to the railing of a ship by clamps so that…

A:

Q: After a fall, a 94 kg rock climber finds himself dangling from the end of a rope that had been 18 m…

A:

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).