College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A spring, with a spring constant of 750 N/m, is hung vertically from the ceiling. If a mass of 500 kg is added to this spring, how much will it elongate?
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- A rope of length 40.0 meters and 5.0 mm in diameter elongates by 1.0 meters when supporting a 50.0 kilogram mountain climber. What is the Stress and strain experienced by the rope?arrow_forwardA rope 40.0m with a diameter of 2.50cm has a Young’s modulus of 6.50x108Pa. How much will the length of the rope increase in centimeters if a 325kg mass is attached to the end of the rope?arrow_forwardMany caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 × 10⁹ N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to make a rope 8.2 m long that would stretch only 1.02 cm when supporting a pair of 91-kg mountain climbers? N = Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? strands d = cmarrow_forward
- When a tension of 70 N is applied to a piano wire of length 1.8 m, it stretches by 2.0 mm. If the same tension is applied to a similar piano wire of length 3.6 m, by how much will it stretch?arrow_forwardA certain wire stretches 1.2 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with six times the diameter and 12 times the length. The second wire stretches in cm:arrow_forwardA uniform brass plate with area of 18 x 18 m?, has mass of 3 kg which is hold by three cables in the horizontal position as shown. Please calculate the tension in each cable. B A 6 m. 9 m. 12 m. 9 m. ANSWERS TA (N) TB (N) Tc (N)arrow_forward
- Energy stored in stretching a string per unit volume is ___________ a) 1/2×stress×strain b) stress×strain c) Y(Strain)2 d) 1/2 Y(Stress)2arrow_forwardA spring of unstreched length 25 cm is pulled in a horizontal direction with 150 N force. Since we apply a force in a horizontal direction, the spring is stretched to 28 cm. Now we suspend the spring from a hook in a vertical direction and attached a 15 kg mass at the bottom. How long my spring will stretch?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
- A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its end. (Ignore the mass of the girder itself.) If the girder is 9.50 m long, how much is it lengthened? Note that the Young's modulus =200x10 9 * O 8.4x10 6m 4.4x10 -6m O 4.8x10 -6m O All answers are wrongarrow_forwardCalculate the work done in stretching a wire of diameter 1.2 mm and length 4 m by 0.2 m. Young's modulus of the wire = 2 x 10¹¹ N/m².arrow_forwardThe 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.arrow_forward
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