The normal force of the ground on the foot can reach three times a runner's body weight when the foot strikes the pavement.  By what amount does the 52-cm-long femur of an 75 kg runner compress at this moment? The cross-section area of the bone of the femur can be taken as 5.2×10−4m2 and its Young'’s modulus is 1.6×1010N/m2. Express your answer to two significant figures and include the appropriate units.

Q: A rod with a radius of 0.005 m and length of 2 m stretches 0.002 m when subjected to a tension force…

A:

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: In a structure you need to place a 7.5 m steel wire that does not stretch more than 6.7 cm when a…

A: Given,

Q: A 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm2. The wire…

A:

Q: During a wrestling match, a 116 kg wrestler briefly stands on one hand during a maneuver designed to…

A: Basic Details The young’s modulus is defined as the ratio of stress to that of strain. Stress is…

Q: A nylon rope used by mountaineers elongates 1.8 m under the weight of a 68-kg climber. If the rope…

A:

Q: The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a…

A: Given: s=2.0*108 Pad = 0.5 cm = 0.005 mM = 200 Kg

Q: How large a force is necessary to stretch a 2.0-mm-diameter steel wire (Y = 2.0 x 1011 N/m2) by…

A:

Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

A:

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

A:

Q: A 18 cm long tendon was found to stretch 5.4 mm by a force of 14.0 N. The tendon was approximately…

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:

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: The force applied in the cable is given as, F=557 N, The original length of the cable is given as,…

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: A cylindrically shaped piece of collagen (a substance found in the body in connective tissue) is…

A: Force, F = 0.0398 N Length, L = 2.03 cm Radius, r = 0.0791 cm Y = 3.1x106 N/m2

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: Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials…

A:

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: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x10 N/m2. If a rock…

A: Given: Diameter,d=10.5mm=10.5×10-3mRadius,r=5.25mm=5.25×10-3mYoung's…

Q: A 16.7 cm long tendon is found to stretch 4.22 mm when a force of 15.8 N is applied to it. If the…

A:

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 metal wire 1.3 mm in diameter and 2.5 m long hangs vertically with a 5.1-kg object suspended from…

A: Young's modulus is a measure of the ability of a material to withstand changes in length when under…

Q: The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of…

A: Write the expression for young’s modulus of the material.

Q: An 1800-kg elephant is placed on top of an aluminum cylinder, 4.3 meters high. The area of the top…

A: height of cylinder (h) = 4.3 m Surface area (A) = 0.080 m2mass of elephant (m) = 1800 kg Young's…

Q: To compress a liquid by 10 % of its original volume, the pressure required is 2 x 105 N/m². The bulk…

A: We are aware that K is the necessary pressure to compress a liquid by 10% of its initial volume.We…

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: During a wrestling match, a 119 kg wrestler briefly stands on one hand during a maneuver designed to…

A:

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50 x…

A: Given :      Young's modulus for bone, Y = 1.50*1010 N/m2       Stress to break the bone, S =…

Q: A wire has 20 x 10^10 N/msquared young modulus. Its diameter is 1mm that can handle a tension of 0.2…

A: Given data- young modulus= 20×1010 N/m2 1mm diameter can handle a tension of 0.2 kN.

Q: Consider the 3D vectors C and D defined as C = 4i + 5j - 12k and D = 12i - 8j + 2k. Which of the…

A: Given,  C = 4i + 5j - 12k   And  D = 12i - 8j + 2k

Q: For safety in climbing, a mountaineer uses a nylon rope that is 63 m long and 100-kg climber, the…

A: Given:- The length of the rope L = 63 m  The diameter of the rope is d = 1.2 cm  The mass of climber…

Q: After a fall, a 80 kg rock climber finds himself dangling from the end of a rope that had been 14m…

A:

Q: Humans can bite with a force of approximately 792 N. If a human tooth has the Young's modulus of…

A: Force exerted (F) = 792 N Cross sectional area (A) = 1.3 cm2= 0.00013 m2Length of bone (L) = 1.7cm =…

Q: Humans can bite with a force of approximately 795 N. If a human tooth has the Young's modulus of…

A: Young's modulus is defined as the ability of a material to withstand the change in length due to…

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: When pushing off of a pool wall, a swimmer exerts a force parallel to the length of her femur,…

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).