Question

The mass and weight of an object on earth are $5kg$ and $49N$ respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is $1/6^{th}$ of that on the earth.

• A. $5kg$ and $8.17N$
• B. $5kg$ and $4.27N$
• C. $10kg$ and $24.61N$
• D. $10kg$ and $16.12N$

Answer 1

The correct option is A $5kg$ and $8.17N$

The mass of the object is same whether it is on earth, moon or any random planet.
Therefore in this case, mass of the object on moon is $5kg$.
As we know, weight of an object is given as
Weight, $W=Mg$
where $M$ is the mass of the object and $g$ is the acceleration due to gravity of a planet.
Weight on earth is given as,
$W_e=M_e{g}_e$
or, $49=5\times g_e$
Also weight on moon is given as
$W_m=M_m{g}_m$
or, $W_m=M_m\times \frac{g_e}{6}$
or, $W_m=5\times \frac{49}{5}\times \frac{1}{6}$
or, $W_m=8.17N$