Question

If a boy of mass $30\,kg$ goes from earth to the moon. What will be his
(i) mass on moon
(ii) Weight on the moon in $N$ ? $\left( {1kgf = 10N} \right)$

Answer 1

An object's weight is a force measured in Newtons $\left( N \right)$ . It is also known as the gravitational force acting on an object. As a result, an object's mass on the Moon is the same as it is on Earth. However, because the gravity on the moon is lower than on Earth, it loses weight.

Complete step by step answer:
(i) First and foremost, as you have amended your question, it is your mass, not your weight, which is $30\,kg$ and mass the mass on the moon remains exactly the same,

(ii) Weight is the gravitational force exerted by the earth on a specific mass. Whereas, mass is the actual matter that occupies space in your body or in an object.Let's calculate the gravitational force exerted on your body by the Earth, i.e. weight.Because weight is a force, it equals $m \times a$ .

However, acceleration is replaced by acceleration due to gravity of a specific body for which weight is required because the force exerted on us is solely due to acceleration caused by the gravitational force of that specific body, so it is replaced by $g$(acceleration due to gravity).As a result, the finalised formula is $\text{weight} = m \times g$.As you may be aware, weight equals mass multiplied by the acceleration due to the earth's gravity.Hence your
$\text{weight} = 30 \times 10 = 300\,N$

Now, because the moon has a lower gravitational force than the earth, your weight will fall while your mass will remain constant.The moon's gravitational acceleration is $1.6{\text{ }}m{s^{ - 2}}.$As a result, we'll use the weight formula once more, i.e,
$\text{weight} = m \times g$
As a result, your weight on the moon will be
$\text{weight} = 30 \times 1.6 \\\ \therefore \text{weight}= 48\,N$

Note: Remember that mass is a universal entity that will always be the same in any corner of the universe, so don't employ it in such scenarios. Always utilise the weight or force because it can fluctuate depending on where you are in the universe.