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Physics, 25.10.2019 18:43 edgartorres5123

The particles in an atmosphere will not escape the gravitational pull of a celestial body if their velocity is smaller than 1/6 the escape velocity of the celestial body. the escape velocity is dependent on the mass (m) and radius (r) of the celestial body. the interactive allows you to select from multiple planets to see how the escape velocity would increase as the mass and radius of the celestial body increase. select a temperature of 1000 k for mercury, then play the simulation. as you will see, all of the particles will escape the atmosphere. let's pick one particle, h20, and try to estimate how much larger the mass of mercury would need to be to retain water at this temperature. the escape velocity vesc is proportional to (mr).the interactive tells us that venus can retain water at these temperatures, so we can use its mass-to-radius ratio to solve for the new mass of mercury required to retain h20. using the mass and radius of venus as a reference and assuming the radius of mercury is constant at ∼0.38r. earth, determine approximately how large the mass would need to be?

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