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Answer:
98.4 N
Explanation:
Given that the body weighs 800 N on earth.
Thus,
Weight = mass x acceleration due gravity
i.e W = mg
800 = m x 10
m = [tex]\frac{800}{10}[/tex]
= 80 kg
The mass of the body is 80 kg.
To be able to determine its weight on the planet, we have to first calculate the gravitational pull of the planet.
But,
g = [tex]\frac{GM}{r^{2} }[/tex]
Where: G is the Newton's universal gravitation, M is the mass of the planet and r is the radius of the planet.
g = [tex]\frac{6.674*10^{-11} *2.986*10^{24} }{(12.742*10^{6})^{2} }[/tex]
= [tex]\frac{1.9929*10^{14} }{1.6236*10^{14} }[/tex]
= 1.2275
g = 1.23 m/[tex]s^{2}[/tex]
Thus,
Weight of the body on the planet = mg
= 80 x 1.23
= 98.4 N
The weight of the body on the planet is 98.4 N