Q4] A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal d To Rope

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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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Q4]
A hallow metal sphere with mass m =
355.0kg is held to the bottom of a water tank using an ideal
d
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.
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:Q4] A hallow metal sphere with mass m = 355.0kg is held to the bottom of a water tank using an ideal d 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. 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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