A good baseball pitcher can throw a ball at 100 miles/hour (about 45 m/s). If the pitcher were on Sinope, one of Jupiter’s smaller moons, could the pitcher throw the ball fast enough to escape Sinope gravity? Sinope is a roughly spherical with a radious 18000 m and mass of 10x1016 kg.

mass of sinope is 6 * 10¹⁶ kg

the ball pitcher can throw the ball fast enough to escape Sinope's gravity

Explanation:

mass of sinope m = 6 * 10¹⁶ kg

radius  r = 18000 m

the escape velocity  v =

v =

v = 21.1 m/s

v is less than 45 m/s

the ball pitcher can throw the ball fast enough to escape Sinope's gravity

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

option number c is the right answer.