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A body weights 30kg on surface …

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A body weights 30kg on surface of the earth. Find its weight on a planet whose mass is 1/9th mass of Earth and radius is half of earth
  • 1 answers

Yogita Ingle 5 years, 9 months ago

Mass m = 30 kg  on Earth
weight = m g = m G M / R²
          G = universal gravitational constant
          M = mass of Earth
          R = Radius of Earth

mass of the body remains same on the surface of other planets.
gravity on a planet = g' = G M' / R' ²
                         M' = M/9        and  R' = R/2
     =>  g ' = G M/R * 4/9 = 4 g / 9
 
Weight on the planet = m g' = 4/9 m g  = 4/9 * 30 kg = 40/3  kg

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