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A body weighs 800 N on earth. Find its weight on a planet whose mass is half of
earth’s mass and radius is twice as earth’s radius. (Take g of earth as 10 m/s2
)

Sagot :

Olayemiolakunle65idn

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

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