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C Secure I https://sllte. Q Messages Zachary Joseph Shango (Student section 730)

ID: 1559565 • Letter: C

Question

C Secure I https://sllte. Q Messages Zachary Joseph Shango (Student section 730) PHY 2310, Spring 2017 introductory Phy Course Contents Correction Exam 3 (Due 4/18 at 11:59PM Question 5 A wire is used to anchor an NoAA research buoy to the ocean floor as shown in the diagram below. The wire keeps the buoy from rising to the ocean's surface. As a result of the tension in the wire, the length of the wire used to anchor the increases by amount. force diagram depicting all forces acting on the buoy is shown in the diagram on the right. Bis the buoyant is the weight buoy and T is the tension in the wire. The forces are not drawn to scale, but their directions are correct. DATA: Mass of buoy: 8.281x102 kg Unstretched length of wire: 321 m Cross-sectional area of wire: 3.514x10-4 m2 Increase in length of wire: 4.563x10 4 m Young's Modulus of wire material: 1.347x1011 Pa Density of ocean water: 1021 kg/m What is the magnitude of the tension in the wire? Submit Answer Tries 0/20 What is the the volume of the buoy?

Explanation / Answer

Tension in the wire = Modulus constant * Extension in the wire / Natural length of the wire

= (1.347*1011 * 3.514*10-4) * (4.563*10-4) / (4.321)

= 5000 N