Question

Jupiter has a mass about 300x that of Earth, and its radius is about 11x that of Earth. What would be the approximate weight of a 1 kg rock on the surface of Jupiter?

Answer 1

Answer:

W = 24.01 N

Explanation:

given,

mass of Jupiter = 300 x

radius = 11 x

weight of 1 Kg on Jupiter = ?

using equation of acceleration of gravity

 $g =\dfrac{GM}{r^2}$

mass of Jupiter = 300 M

radius of the Jupiter = 11 R

now, acceleration due to gravity

 $g' =\dfrac{G(300M)}{(11R)^2}$

 $g' =\dfrac{300}{121}\dfrac{GM}{R^2}$

 $g' =2.45 g$

acceleration due to gravity of Jupiter

 g' = 24.01 m/s²

Weight of the rock  in Jupiter

W = m g'

W = 1 x 24.01

W = 24.01 N