2. We can use a simple model which uses our understanding of uniform circular motion to estimate the largest possible rotational speed of a planet around its own axis. For a planet of mass M and radius R our model assumes that the planet "falls apart" when the loose rocks on the surface at the equator are no longer sitting on the surface because they leave the surface. A loose rock of mass m is shown on the equator in the drawing. M R В. The planet rotates about its axis. What is the maximum angular velocity that the planet can have before the loose rock of mass m on the equator starts to leave the surface and the planet “falls apart"? Express your answer in terms of G, M, and R. Now return to the 'slowly' rotating planet (where the loose rocks are not flying off the surface) and consider a loose rock that is not on the equator, but at some higher latitude, 0 (as shown). Do you need forces besides gravity and the normal force to make this situation possible? Justify your answer (you just need to justify whether you need another force but not what that other force might be if it is needed). с.
2. We can use a simple model which uses our understanding of uniform circular motion to estimate the largest possible rotational speed of a planet around its own axis. For a planet of mass M and radius R our model assumes that the planet "falls apart" when the loose rocks on the surface at the equator are no longer sitting on the surface because they leave the surface. A loose rock of mass m is shown on the equator in the drawing. M R В. The planet rotates about its axis. What is the maximum angular velocity that the planet can have before the loose rock of mass m on the equator starts to leave the surface and the planet “falls apart"? Express your answer in terms of G, M, and R. Now return to the 'slowly' rotating planet (where the loose rocks are not flying off the surface) and consider a loose rock that is not on the equator, but at some higher latitude, 0 (as shown). Do you need forces besides gravity and the normal force to make this situation possible? Justify your answer (you just need to justify whether you need another force but not what that other force might be if it is needed). с.
Related questions
Question
Transcribed Image Text:2. We can use a simple model which uses our
understanding of uniform circular motion to
estimate the largest possible rotational speed of a
planet around its own axis. For a planet of mass M
and radius R our model assumes that the planet
"falls apart" when the loose rocks on the surface at
the equator are no longer sitting on the surface
because they leave the surface. A loose rock of mass
m is shown on the equator in the drawing.
M
m
R
В.
The planet rotates about its axis. What is the maximum angular
velocity that the planet can have before the loose rock of mass m on the equator
starts to leave the surface and the planet "falls apart"? Express your answer in
terms of G, M, and R.
Now return to the 'slowly' rotating planet (where
the loose rocks are not flying off the surface) and consider a
loose rock that is not on the equator, but at some higher
latitude, 0 (as shown). Do you need forces besides gravity and
the normal force to make this situation possible? Justify your
answer (you just need to justify whether you need another
force but not what that other force might be if it is needed).
С.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 2 images
