Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Please Help!
Consider two uniform spherical planets of equal density but unequal radius. Which of the following quantities is the same for both planets?
 one year ago
 one year ago
Please Help! Consider two uniform spherical planets of equal density but unequal radius. Which of the following quantities is the same for both planets?
 one year ago
 one year ago

This Question is Closed

YoungsterBest ResponseYou've already chosen the best response.0
(a) the escape velocity from the planet's surface (b) the acceleration due to gravity at the planet's surface (c) the orbital period of a satellite in a circular orbit just above the planet's surface (d) the orbital period of a satellite in a circular obit at a given distance freom the planet's center
 one year ago

saliniBest ResponseYou've already chosen the best response.0
option c is right u have to go stepwise first find the relation connecting R1, M1, R2 and M2 USING DATA DENSIOTY CONSTANT then go on to check each of the options given using the mass andd radius relation u got u will find that c is right u will need: g=GM/R^2 T=2*pi*R/V0 where V0 is orbitaol veloicity given by centripetal force mV0^2/R=GMm/R^2 and escape velocity expression
 one year ago

sesidharBest ResponseYou've already chosen the best response.1
as escape velocity,acceleration due to gravity and c; depends upon the radius of the planet and option d depends upon the distance between the center and the satellite, d is the correct option
 one year ago

MashyBest ResponseYou've already chosen the best response.1
its C.. C is right.. if you use the equation of orbital time period using keplers third law you get \[T ^{2}= 4\pi ^{2}R ^{3}/GM \] now \[R ^{3}/M\] is a constant for both planets (cause density is same).. and all other parameters also constant.. thus they both got same orbital period D however is wrong because.. in d equation would become \[T ^{2}= 4\pi ^{2}(R+h) ^{3}/GM \].. and \[(R+h) ^{3}/M \] need not be a constant for both the planets.. ARggg this equation thing is such a headache :/
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.