College Physics
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Author: Raymond A. Serway, Chris Vuille
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A weight of 125 Newton is attached to a brass wire of 7.5 meters long. Young’s modulus for brass is 8.96 X 10^11 Pa. The radius of the wire is 0.7 mm. What is the change in its length in meter?
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- A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010 N/m2 and its unstressed length was 5 m, what is its length while stressed? A 4 mm B 5 m C 5 m 1 mm D 5 m 4 mmarrow_forwardWhen pushing off of a pool wall, a swimmer exerts a force parallel to the length of her femur, compressing it 3 × 10−5 m. The bone is equivalent to a uniform cylinder 36.0 cm long and 1.75 cm in radius. Young's modulus for bone is 16 × 10⁹ N/m². (a) Calculate the force exerted (in N). 1710 X Consider the basic definition for Young's modulus. N (b) If her mass is 65.5 kg and water resistance is negligible, what is her acceleration (in m/s²)? Assume her weight is precisely supported by the water. m/s² (c) How fast (in m/s) is she going once she exerts this force through a distance of 20.5 cm, starting from rest? m/sarrow_forwardTwo wires are made of the same material, their Young’s Modulus constant is 10 x10^10 Pa. Wire X is 5 times as long and has half the diameter of wire Y. If they are to be compressed by the same amount, the needed force on Y must bearrow_forward
- A weed trimmer for yard work has a rotating head which consists of a spool of monofilament line, with a strand of line that extends out from the edge. The spool has an inner diameter of 3.00 cm and an outer diameter of 18.0 cm, and a mass of 100 g. The strand has a length of 16.0 cm. The monofilament line has a linear density of 10.0 g/m. 16.0 cm- Need Help? 3.00 cm (a) When switched on, the trimmer speeds up from 0 to 2.500 rev/min in 0.225 s. What average power (in W) is delivered to the head by the trimmer motor while it is accelerating? (Round your answer to at least one decimal place.) -18.0 cm- (b) When the trimmer is cutting weeds, it spins at 2,100 rev/min and the weeds exert an average tangential force of 9.15 N on the outer end of the line, which is still at a radial distance of 16.0 cm from the outer edge of the spool. What is the power (in W) delivered to the head under load? W Readarrow_forwardHumans 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. marrow_forwardA cube with edges exactly 3.00 cm long is made of material with a bulk modulus of 7.00 x 10 9 N/m 2. When it is subjected to a pressure of 6.00 x 107 Pa its final volume in cm 3 is:arrow_forward
- A steel wire, 3.0 m long, has a diameter of 1.0 mm. If a 10 kg load is hung from the wire how far will it stretch? Young's modulus for steel is 2.0 × 10^11 paarrow_forwardConsider a square-faced beam supporting a section of a building. a) Before installation, the length of the beam is found to be l0 = 15.02 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.98 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 35000 kg and has a side length d = 1.9 m. b) Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.arrow_forwardOn a forest trail a 4m long birch tree trunk is laid across a ravine as a bridge. The trunk is 4m long and just touching each side of the ravine. The trunk is 20cm in diameter and roughly cylindrical. The Young's modulus of birch is 15.2 GPa and its density is 610kg/m. How far does the middle of the trunk bend under its own weight? (answer in mm) Answer:arrow_forward
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