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Lenny Conundrum #154

Fri Feb 10, 2006 12:44 am

Assume the world of Neopia is a spherical planet with a diameter of 1600 km with a uniform density of 5200 kilograms per cubic metre.

If the Virtupets Space Station is in a circular orbit 630 km above the surface of Neopia, what is its orbital velocity in metres per second? Please round up to the nearest whole number.


...It's math. Hrmph.

Fri Feb 10, 2006 12:47 am

I love physics problems :)

Hint: although the radius of neopia is greater than that of earth's, earth's density is also a lot greater, meaning that the mass of neopia will end up being smaller than that of earths.

The sum of the digit(s) of the answer that I get is a prime number.

Edit: I agree with neomania as well
Last edited by endeavourl on Fri Feb 10, 2006 7:34 pm, edited 1 time in total.

Fri Feb 10, 2006 1:03 am

i got a number that has 2 disntict primes.

Fri Feb 10, 2006 1:06 am

err what is G ?

Fri Feb 10, 2006 1:11 am

It seems I agree with both Neomania and Endeavourl.

physics is phun! :)

Fri Feb 10, 2006 5:24 am

err what is G ?


G is the universal constant for Gravitation :) Just to make it easier for you guys so you don't have to Google it, G = 6.67 X 10^-11 :D

My number all consisted of prime numbers :o Well, at least there's a certain limit you know you can't break :P

Fri Feb 10, 2006 8:23 am

..Physics makes my head hurt x.x

Fri Feb 10, 2006 10:33 am

endeavourl wrote:I love physics problems :)

Hint: although the radius of neopia is greater than that of earth's ...


Isn't earth's radius around 6500 km?

I have submitted the answer but I suspect it is not correct as it does not match neomanias(it matches endeavourls). My answers factors are a prime and a square. I get confused with what distances to use for the various forces.
This one is a really tough problem for anyone below grad school.

Fri Feb 10, 2006 10:44 am

Its difficult for most people who left school more than a few years ago. I've spent the last 10 years not having to use maths, so I just give up when they're like this

Fri Feb 10, 2006 2:13 pm

lol, I love Lenny Conundrums like this =D

Fri Feb 10, 2006 4:02 pm

How does radius compare to diameter? Isn't one twice the other? But which one?

Fri Feb 10, 2006 4:07 pm

Radius is half of the diameter ;)

Fri Feb 10, 2006 4:19 pm

And density is expressed the same way it is given in the Conundrum; ie kilograms per cubic metre?

Fri Feb 10, 2006 7:35 pm

pardona_ii wrote:And density is expressed the same way it is given in the Conundrum; ie kilograms per cubic metre?


Yes, SI units for density is kg/m^3

Fri Feb 10, 2006 8:50 pm

whats the mass of virtupets space station?
edit: nevermind i figured it out. Bye everyone
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