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A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal Rope Figure 1: Hallow sphere in liquid attached to the bottom of a tank. rope such that its top is at a depth of d = 27.50m below the surface as shown in Figure 1. The sphere has an outer radius of r, = 46.83cm, and an inner radius of r; = 41.47cm. a) Draw a free body diagram for the sphere. b) What material is the sphere made of. Note: use the Table 13.1 in Giancoli or Table 14.1 in Openstax c) What is the tension in the rope? | d) The rope is cut and the sphere is allowed to float. What is the magnitude of the acceleration of the sphere as it floats to the surface? e) The rope is cut and the sphere is allowed to float to the surface. How much of the sphere remains below the surface?

A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal Rope Figure 1: Hallow sphere in liquid attached to the bottom of a tank. rope such that its top is at a depth of d = 27.50m below the surface as shown in Figure 1. The sphere has an outer radius of r, = 46.83cm, and an inner radius of r; = 41.47cm. a) Draw a free body diagram for the sphere. b) What material is the sphere made of. Note: use the Table 13.1 in Giancoli or Table 14.1 in Openstax c) What is the tension in the rope? | d) The rope is cut and the sphere is allowed to float. What is the magnitude of the acceleration of the sphere as it floats to the surface? e) The rope is cut and the sphere is allowed to float to the surface. How much of the sphere remains below the surface?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal Rope Figure 1: Hallow sphere in liquid attached to the bottom of a tank. rope such that its top is at a depth of d = 27.50m below the surface as shown in Figure 1. The sphere has an outer radius of r. = 46.83cm, and an inner radius of r; = 41.47cm. a) Draw a free body diagram for the sphere. b) What material is the sphere made of. Note: use the Table 13.1 in Giancoli or Table 14.1 in Openstax c) What is the tension in the rope? | d) The rope is cut and the sphere is allowed to float. What is the magnitude of the acceleration of the sphere as it floats to the surface? e) The rope is cut and the sphere is allowed to float to the surface. How much of the sphere remains below the surface?
Transcribed Image Text:A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal Rope Figure 1: Hallow sphere in liquid attached to the bottom of a tank. rope such that its top is at a depth of d = 27.50m below the surface as shown in Figure 1. The sphere has an outer radius of r. = 46.83cm, and an inner radius of r; = 41.47cm. a) Draw a free body diagram for the sphere. b) What material is the sphere made of. Note: use the Table 13.1 in Giancoli or Table 14.1 in Openstax c) What is the tension in the rope? | d) The rope is cut and the sphere is allowed to float. What is the magnitude of the acceleration of the sphere as it floats to the surface? e) The rope is cut and the sphere is allowed to float to the surface. How much of the sphere remains below the surface?
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