What is the Orbital Period of Mars in Earth Years?

[HelloMotto]

Mars travels in a nearly circular orbit of radius 2.28 x 10^11 m around the Sun. The mass o Mars is 6.27 x 10^23 kg. The gravitational force of attraction between Mars and the sun has a magnitude of 1.63 x 10^21 N.

a) what is the speed of Mars?
i got 2.4 x 10^4 m/s

b)Determine the period of revolution of Mars around the Sun in Earth years.
how do i find the period and then convert that into Earth years?

 

[gabbagabbahey]

Use Kepler's Constant

 

[HelloMotto]

Use Kepler's Constant

ummm... what's that? I've never learned that.

 

[gabbagabbahey]

Okay, then just assume the orbit is circular so that Mars' speed is constant and tangential. What is the circumference of Mars' orbit? How long does it take to travel that circumference at the speed you calculated in (a)?