Jupiter's satellite europa orbits jupiter with a period of 3.55 d at an orbital radius of 6.71 108 m (assume the orbit to be circular). g = 6.67 x 10-11 nm2 /kg2 (a) determine the mass of jupiter from the data given. (b) what is the orbital velocity of europa? (c) what is the gravitational field’s magnitude at europa?

(a)

M = 1.898 x 10^27 kg

(b)

v = 13.74 km/s

(c) E = 0.28 N/kg

Explanation:

Time period, T = 3.55 days = 3.55 x 24 x 3600 second = 306720 s

Radius, r = 6.71 x 10^8 m

G = 6.67 x 10^-11 Nm^2/kg^2

(a)

M = 1.898 x 10^27 kg

(b) Let v be the orbital velocity

v = 13739.5 m/s

v = 13.74 km/s

(b) The gravitational field E is given by

E = 0.28 N/kg

the journeys of marquette, joliet and la salle a) new france expand.

all three of these explorers explored the midwest and the area around the great lakes, which they subsequently claimed for france.

this was a big portion of territory and expanded new france which before then only consisted of quebec province in northeastern canada