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What is young's modulus and how do you calculate it? Explain it in layman's terms.
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- (a) The "lead" in pencils is a graphite composition with a Young's modulus of about 1109 N/ m2. Calculate the change in length of the lead in an automatic pencil if you tap it straight into the pencil with a force of 4.0 N. The lead is 0.50 mm in diameter and 60 mm long. (b) Is the answer reasonable? That is, does it seem to be consistent with what you have observed when using pencils?(a) When water freezes, its volume increases by 9.05% (that is, V/V0=9.05102 ). What force per unit area is water capable of exerting on a container when it freezes? (It is acceptable to use the bulk modulus of water in this problem.) (b) Is it surprising that such forces can fracture engine blocks, boulders, and the like?Humans can bite with a force of approximately 810 N. If a human tooth has the Young's modulus of bone, a cross-sectional area of 1.5 cm, and is 1.5 cm long, determine the change in the tooth's length during an 8.10 x 10 N bite. 54.73e-7 Your response differs from the correct answer by more than 10%. Double check your calculations. m
- Humans can bite with a force of approximately 796 N. If a human tooth has the Young's modulus of bone, a cross-sectional area of 1.1 cm2, and is 1.9 cm long, determine the change in the tooth's length during an 7.96 ✕ 102 N bite. mA spider silk line has a circular cross section. Its diameter is 7.14 micrometers. Its unstretched length is 12cm and when a 1g spider hangs from it it stretches to 27cm. What is the Young's Modulus of the thread? Give your answer in MPa. Answer:A 2.0-m-long, 1.0-mm-diameter wire is suspended from the ceiling. Hanging a 4.5 kg mass from the wire stretches the wire’s length by 1.0 mm. What is Young’s modulus for this wire? What is the material?
- 2. The "lead" in pencils is a graphite composition with a Young's modulus of approximately 1.0 x 109 N/m2. Calculate the change in length of the lead in an automatic pencil if you tap it straight into the pencil with a force of 4.0 N. The lead is 0.50 mm in diameter and 60 mm long. Al =Spiderweb An orb weaver spider with a mass of 0.25 g hangs vertically by one of its threads. The thread has a Young's modulus of 4.6×109 N/m^2 and a radius of 8.4×10−6 mm . A. What is the fractional increase in the thread's length caused by the spider? B. Suppose a 86 kg person hangs vertically from a nylon rope. What radius must the rope have if its fractional increase in length is to be the same as that of the spider's thread? Assume that Young's modulus for nylon is 0.37×10^10 N/m^2.A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum, brass, or copper. The values of Young's modulus for these metals are 0.70 x 1011 Pa (aluminum), 0.91 x 1011 (brass), and 1.1 x 10¹1 (copper). Which wire would stretch the least distance? O A. copper OB. aluminum O C. brass O D. They will all stretch the same distance.
- In some recent studies it has been shown that women are more susceptible to torn anterior cruciate ligaments, or ACLs, than men when competing in similar sports (most notably in soccer and basketball). Select the statement that explains why this disparity might exist. The ACL of women is more elastic than the ACL of men. The Young's modulus of women's ACLs is typically smaller than that of men's, resulting in more stress for the same amount of strain. The cross-sectional area of the ACL is typically larger in men, and therefore experiences less strain for the same tensile force and Young's modulus. The cross-sectional area of the ACL is typically smaller in women, and therefore experiences less stress for the same tensile force.A 2.4-m-long, 1.0-mm-diameter steel string is pulled by a 4 × 103 N tension force. By how much is the string stretched, in mm? The Young's modulus for steel is 20 × 1010 N/m2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross section with radius r = 3.2 mm. If we hang the rod vertically and hang a mass of m = 22 kg at its end we find that it is stretched by d = 2.5 mm. a) Using the information given, estimate the Young’s modulus for this metal rod, in N/m. b) If we know that this metal has a density of 11 g/cm^3, what would be the speed of sound in this metal in m/s?