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5. A crane is used to lower weights into the sea (density=1025kg/m 3 ) for an un

ID: 1815624 • Letter: 5

Question

5. A crane is used to lower weights into the sea (density=1025kg/m3) for an underwater construction project. Determinethe tension in the rope of the crane due to a rectangular 0.4m by0.4m by 3cm concrete block (density = 2300 kg/m3) whenit is a) suspended in the air b) completely immersed in water 5. A crane is used to lower weights into the sea (density=1025kg/m3) for an underwater construction project. Determinethe tension in the rope of the crane due to a rectangular 0.4m by0.4m by 3cm concrete block (density = 2300 kg/m3) whenit is a) suspended in the air b) completely immersed in water

Explanation / Answer

My class was cancelled b) Draw a free body diagram.       Downward force = mblock *gravity = mb * g       Upward force = density of liquid *Volume displaced by block *gravity = * Vblock *g       Tension in rope = downward force -upward force      1. Downward force = 108.3 N (from previousproblem)      2. Upward force = 1025 kg/m3 *0.0048 m3 * 9.81 m/s2 = 48.3 N     So: Tension in rope = 108.3 N - 48.3N = 60N

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