Mass and Radius of a Planet given v

AI Thread Summary
To determine the mass and radius of Planet Physics, the problem involves two key pieces of information: the rock's initial velocity of 13 m/s and the time it takes to return, which is 2.7 seconds. This data can be used to calculate the planet's gravitational acceleration and subsequently its radius. Additionally, the orbital period of the cruise ship, which is 210 minutes, provides another equation relating the radius and mass of the planet. By applying the relevant equations of motion and gravitational dynamics, one can derive the mass and radius of the planet. Solving these equations will yield the necessary values for the planet's characteristics.
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Homework Statement


While visiting Planet Physics, you toss a rock straight up at 13m/s and catch it 2.7s later. While you visit the surface, your cruise ship orbits at an altitude equal to the planet's radius every 210min . What is the mass and radius of the planet Physics?


Homework Equations



M=v^2r/G M=4pi^2r^3/GT^2

Please help me, I'm like so confused.
 
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chitoboy18 said:

Homework Statement


While visiting Planet Physics, you toss a rock straight up at 13m/s and catch it 2.7s later. While you visit the surface, your cruise ship orbits at an altitude equal to the planet's radius every 210min . What is the mass and radius of the planet Physics?


Homework Equations



M=v^2r/G M=4pi^2r^3/GT^2

Please help me, I'm like so confused.

You should not expect much help until you've tried a bit harder yourself.

You have two pieces of information, each of which gives you an equation to solve. When you've done that, you can substitute one in the other to get the answers. You also need s = ut + \frac{1}{2} at^2 for the first bit, and you need to work out how the orbit period relates to the speed and radius of orbit.
 
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