Question

A man weighs 600 N on the earth. What is his mass? (take g=10 m/s sq.) If he qere taken to moon his weight would be 100 N. What is his mass on moon? Ehat is the acceleration due to gravity on the moon​

Answer 1

Explanation:

First of all we will the mass of man on the earth .. This can be done by using formula : W=m×g

Here, Weight of man on the earth, W= 600 N

Mass of man earth, m= ? [ To be calculated]

And Acceleration due to gravity, g=10m/s square.

Now putting these values in the formula, we get :

$600 = m \times 10 \\ m = \frac{600}{10 } \\ m = 60kg$

Thus, the mass of man on the earth is 60 kilogram....

We will now calculate the value of acceleration due to gravity on the moon by using the same formula :

W=m×g

Now, Weight of man on the moon, W=100 N

Mass of man on moon, m=60 kg [Calculate above]

And Acceleration due to gravity, g= ? [ To be calculated]

( on the moon)

By putting these values in the above formula, we get :

$100 = 600 \times g \\ g = \frac{100}{60} \\ g = 1.66 \: m \: s {}^{ - 2}$