Question

An astronaut weights 900N on earth .On the moon he weights 150N calculate the moons gravitational strength take g=10Nkg-1

Answer 1

Explanation:

Formula for weight W = mg ;  where m = mass and g = gravity.

Let g(e) be the gravity of Earth = 10 Nkg^-1  ...(given)

[ We know that the Mass of a body is the same in the entire universe ]

Let g(m) be the gravity of Moon.

Weight of Astronaut on Earth = 900 N = m × g(e)

                                                                = m  ×  10

∴ m =  900 / 10  = 90 kg.

∴ Weight of the Astronaut on the Moon = m × g(m)

                                                                  = 150 N

∴ 150  =  m × g(m)

          =  90 × g(m)

∴ g(m)  =  150 / 90  =  5/3  

∴ Gravity on the Moon = 5/3 Nkg-1

∴ Relation between gravity of Earth and Gravity of Moon :-

Gravity of Moon  =  1/6 × Gravity of Earth.

Answer :- Gravitational strength on the moon = 5/3 Nkg-1.

I Hope the Answer helps you !!!