Posted by **Claire** on Tuesday, July 22, 2008 at 12:52pm.

It takes Pluto a longer time to travel around the sun than the Earth because Pluto:

a. has farther to go

b. goes slower

c. a and b

d. none of these

- physics -
**Damon**, Tuesday, July 22, 2008 at 2:53pm
Assume circular orbits.

Now let me see

F = Mplanet a where a is v^2/r, the centripetal acceleration with speed v and orbit radius r

F = G Msun Mplanet /r^2

so

Mplanet v^2/r = G Msun Mplanet/r^2

or

v^2 r = G Msun for every planet around sun (I am calling Pluto a planet :)

circumference of orbit = 2 pi r

so time around T = 2 pi r/v

but v = sqrt(G Msun/r)

SO

as r goes up, T goes up

and as r goes up, v goes down

SO

it goes further, and it goes slower.

## Answer This Question

## Related Questions

- physics - If an astronaut dropped a small rock near the surface of Pluto, how ...
- physics - If an astronaut dropped a small rock near the surface of Pluto, how ...
- physics - The distances from the Sun at perihelion and aphelion for Pluto are 4....
- science - A comet is in an elliptical orbit around the Sun. Its closest approach...
- Physics - The planet pluto travels once around the sun every 248 years at a ...
- physic - Find the force a 67.5 kg man would experience while standing in the ...
- Physics - The existence of the planet Pluto was proposed based on irregularities...
- Math - The average radius r in meters of a planet's path around the sun is given...
- MATH ANALYSIS - How do i do this? According to Kepler's Laws, planets have ...
- Science - A day on Pluto lasts 6.39 times longer than a day in earth.If an Earth...

More Related Questions