Europa, a satellite of Jupiter, appears to have a liquid ocean of water below an ice layer
Question:
Europa, a satellite of Jupiter, appears to have a liquid ocean of water below an ice layer on its surface. The acceleration due to gravity at the surface is \(1.3 \mathrm{~m} / \mathrm{s}^{2}\), and there is no atmosphere. You are designing a probe to descend into Europa's ocean, and it must withstand the pressure \(125 \mathrm{~m}\) deep in that ocean. When you are testing the probe here on Earth, how deep in Earth's ocean should you lower the probe to have it experience the same pressure it will experience when it is \(125 \mathrm{~m}\) down in Europa's ocean? The mass density of seawater is \(1025 \mathrm{~kg} / \mathrm{m}^{3}\), and assume the water in Europa's ocean has a mass density of \(1000 \mathrm{~kg} / \mathrm{m}^{3}\).
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