Question

How much would a $70kg$ man weigh on the moon? What would be his weight on the Earth and on the moon? (Acceleration due to gravity of moon = $1.63m/s^2$)

Answer 1

Step 1: Given

Mass of the man $m=70kg$

Acceleration due to the gravity of the moon $g_m=1.63m/s^2$

We know that acceleration due to gravity on earth $g_e=9.8m/s^2$

Step 2: Calculate the weight on the moon,

Mass is defined as the amount of matter present in a body.

We know that weight of an object is defined as mass multiplied by the acceleration due to gravity at that place.

$W=mg$, where $g$ is the acceleration due to gravity

Therefore, the weight of the man on the moon is

$W_m=m{g}_m$

Upon substituting the values we get,

$W_m=70\times 1.63$

$=114.1N$

Step 3: Calculate weight on earth

Therefore, the weight of the man on the earth is

$W_e=m{g}_e$

Upon substituting the values we get,

$W_m=70\times 9.8$

$=686N$

Hence, the weight of the man on the moon is $114.1N$ and on earth is $686N$.