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17 October, 19:16

A team of engineering students is testing their newly designed raft in the pool where the diving team practices.

The raft must hold a 730 kg steel cube with edges of length 45.0 cm without sinking. Assume the 3 density of

water in the pool is 1000 kg m. The students use a crane to gently place the cube on the raft but accidentally

place it off center. The cube remains on the raft for a few moments and then the raft tilts, causing the cube to

slide off and sink to the bottom of the pool. The raft remains floating in the pool. In a coherent paragraph-length

response, indicate whether the water level in the pool when the cube is on the bottom of the pool is higher than,

lower than, or the same as when the cube is on the raft, and explain your reasoning. For both cases, assume that

there is no motion of the water.

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Answers (1)
  1. 17 October, 19:39
    0
    Lower than

    Explanation:

    When the cube is on the raft, the water displaced is equal to the weight of the cube and raft. When the cube is in the water, the water displaced is equal to the weight of the raft, plus the volume of the cube. Since the volume of the cube is less than the volume of water needed to displace its weight, the water level is lower.
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