Question

A men weight 600N on earth.what is its mass.?if he was teaken on moon his weigth would be 100N.what is his mass on moon

Answer 1

mass will be 600/10=60kg
mass will remain same every where the weight only changes according to the gravitational force exertes ny celestial body on which object is present...

Answer 2

$\bf{\underline{\underline{Answer:}}}$

$\bf{\therefore 1.66 \:m\: s^{-2}}$

$\bold{\underline {Given:}}$

Weight of man on earth, W = 600 N

Mass of man on earth, m = ?

Acceleration due to gravity (on earth),$g = 10 \:m \:s^{-2}$

Weight of man on the moon, $W' = 100\: N$

$\bold{\underline {To\:Find:}}$

Acceleration due to gravity (on the moon), g' = ?

$\bf{\underline{\underline{Step\: by\: step \:explanation:}}}$

We know that,

$\boxed {\sf{W=m×g}}$

Substituting the values, we get

$600=m×10\\ \\m=\dfrac{600}{10}\\ \\m=60kg$

Thus, the mass of the earth is 60 kg. Now, the mass of a body remains the same everywhere in the universe. So, the mass of this man on the moon will also be 60 kg.

We know that,

$\boxed {\sf{W'=m×g'}}$

Substituting the values, we get

$100=60×g'\\ \\g'=\dfrac{100}{60}\\ \\g'=1.66\:m\:s^{-2}$

Thus,$\bf{The \:acceleration\: due\: gravity\:on\: the}$ $\bf{surface \:of \:the\: moon\: is\: 1.66 \:m \:s^{-2}} .$