Question

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.

Answer 1

mass of sinope is 6 * 10¹⁶ kg

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

Step-by-step explanation:

mass of sinope m = 6 * 10¹⁶ kg

radius r = 18000 m

the escape velocity v =
`\sqrt{(2GM)/(r) }`

v =
`\sqrt{(2 * 6.67 * 10^-^1^1 * 6 * 10^1^6)/(18000) }`

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