77-kg water skier is being pulled by a nylon (Young's modulus 3.7 × 10° N/m2) tow rope that is attached to a boat. The unstretched length of the rope is 11 m and its cross-section area is 2.4 x 10-5 m2. As the skier moves, a resistive force (due to the water) of magnitude 160 N acts on her; this force is directed opposite to her motion. What is the change in length of the rope when the skier has an acceleration whose magnitude is 0.63 m/2?

Q: the figure, a 137 kg uniform log hangs by two steel wires, A and B, both of radius 1.20 mm.…

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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: The dimensions of a rectangular block of brass (Young's modulus 9.0x1010 N/m², shear modulus…

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Q: TV broadcast antennas are the tallest artificial structures on Earth. In 1987, a 63.0 kg physicist…

A:

Q: TV broadcast antennas are the tallest artificial structures on Earth. In 1987, a 71.5 kg physicist…

A: Mass of physicist (m) = 71.5 kg Mass of equipment (M) = 400 kg Length of antenna (L) = 610 m Young's…

Q: After a fall, a 97 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

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Q: In the figure, a 131 kg uniform log hangs by two steel wires, A and B, both of radius 1.05 mm.…

A:

Q: After a fall, a 97 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A: Given,         Mass of Climber (M)  = 97 kg.         Initial Length of Rope  (L) = 16 meter.…

Q: When pushing off horizontally from a pool wall with her legs, the resulting force of the wall on the…

A: compression in length (∆L) = 2.98×10-5 m Length (L) = 36 cm = 0.36 m Radius (r) = 1.82 cm = 0.0182 m…

Q: In the figure, a 131 kg uniform log hangs by two steel wires, A and B, both of radius 1.30 mm.…

A:

Q: A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands…

A: thank you

Q: In the figure, a 110 kg uniform log hangs by two steel wires. A and B, both of radius 1.05 mm,…

A:

Q: After a fall, a 97 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A: Length of the rope,  L = 16 m = 16 x 102 cm Change in length of the rope, ∆L = 3.3 cm  Strain is…

Q: A 1.9-m-long, 1.0-mm-diameter steel string is pulled by a 3.6 × 103 N tension force. By how much is…

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Q: A copper wire of diameter 1.0 cm stretches 1.0% when it is used to lift a load upward with an…

A: All metal follows Hooke's law as per that stress is directly proportional to the strain.  σ = εE…

Q: A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum,…

A: Given: The mass is 75 kg. The Young's modulus of aluminum is 0.70x1011 Pa. The Young's modulus of…

Q: water has a bulk modulus of 2.2 x 109 n/m2. Suppose water at an atmospheric pressure has a density…

A: The bulk modulus of water is The density of the water at atmospheric pressure is The depth of the…

Q: A copper wire of diameter 1.0 cm stretches 1.0% when it is used to lift a load upward with an…

A: Given that:- Diameter of copper wire=d=1 cm

Q: A cube of unknown material is 0.200 m on each side and has a mass of 17.6 kg. It is suspended in a…

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Q: A helicopter is using a circular steel cable to lift a m = 2100-kg jeep. The unstretched length of…

A: The objective of the question is to find out how much the steel cable stretches when a force is…

Q: A copper wire of diameter 1.2 cm stretches 0.02% when it is used to lift a load upward with an…

A: Given data: Diameter of copper wire, d=1.2 cm=1.2×10-2 m Length stretches = 0.02% of original…

Q: A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands…

A: ∆V/V0 = 3 × 10-3 Bulk modulus (B) = 1.6 × 109 N/m2

Q: In the figure, a 134 kg uniform log hangs by two steel wires, A and B, both of radius 1.20 mm.…

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Q: By how much does a 75.0-kg mountain climber stretch her 0.750-cm diameter nylon rope when she hangs…

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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).