As an oil well is drilled, each new section of drill pipe supports its own weight and that of the pipe and drill bit beneath it. Calculate the stretch, in millimeters, in a new 6.5 m length of steel pipe that supports 3.00 km of pipe having a mass per length density of 23 kg/m and a 120-kg drill bit. The pipe is equivalent in strength to a solid cylinder 5.00 cm in diameter with Young's modulus of 2.10 × 1011 Pa.

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: During a wrestling match, a 110 kg wrestler briefly stands on one hand during a maneuver designed to…

A:

Q: A wire of 2.0000 m length and 1.0 mm diameter is suspended from the ceiling. Hanging a 4.500 kg…

A: Original length L = 2.0000 m  Diameter of wire d = 1.0 mm  Radius of wire r = d/2 = 1.0 / 2 mm = 0.5…

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: A 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2.…

A: Given F=557 N L=66m A=2.8 mm2 Y=1.0x10^11 N/m2

Q: A wall climber of mass 85 kg dangles at the end of a rope. The rope has a diameter of 9.6 mm, and is…

A: mass= 85 Kg Length, L= 21 m radius, r= 4.8 mm ∆L= 3.2 cm

Q: WRK-1: The average cross-sectional area of leg 3 cm² and all of body weight 700 orted of this leg,…

A: Cross-sectional area of leg is Weight of body or the force is The change in length of leg is Young's…

Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…

A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…

Q: A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The…

A: The expression for find force exerted by moonshine is K=FA∆VV0FA=K∆VV0 Substitute values in the…

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: A 3.0 m long cylindrical alloy beam is 21 cm in radius. It is found to stretch by 1.5 cm under a…

A: The expression for Young's modulus is, Y=FA∆LL                                 (I)…

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).