Lenny Conundrum #154

Officer 1BDI · **Posts:** 1873 **Joined:** Sun Jan 01, 2006 9:50 am

Quote:

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.

endeavourl · **Posts:** 1247 **Joined:** Thu Sep 29, 2005 9:34 pm

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

neomania · **Posts:** 218 **Joined:** Sat Jul 16, 2005 12:21 pm

i got a number that has 2 disntict primes.

apranum · **Posts:** 749 **Joined:** Mon May 31, 2004 9:14 am

err what is G ?

XenaAndGabrielle · **Posts:** 1225 **Joined:** Wed Nov 24, 2004 2:41 pm

It seems I agree with both Neomania and Endeavourl.

physics is phun!

hakuryu_86 · **Posted:** Fri Feb 10, 2006 5:24 am

Quote:

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

My number all consisted of prime numbers

Well, at least there's a certain limit you know you can't break

Alex · **Posted:** Fri Feb 10, 2006 8:23 am

..Physics makes my head hurt x.x

sid_basu4243 · **Posted:** 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.

arogance1 · **Posted:** 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

guineadan · **Posted:** Fri Feb 10, 2006 2:13 pm

lol, I love Lenny Conundrums like this =D

Pardona · **Posted:** Fri Feb 10, 2006 4:02 pm

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

guineadan · **Posted:** Fri Feb 10, 2006 4:07 pm

Radius is half of the diameter

Pardona · **Posted:** 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?

endeavourl · **Posts:** 1247 **Joined:** Thu Sep 29, 2005 9:34 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

gmagee101 · **Posts:** 11 **Joined:** Fri Feb 10, 2006 3:27 pm

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

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Lenny Conundrum #154

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