Question

The weight of an object is 100 N on the surface of the Earth. Find its mass and weight on the surface of the moon. (Take g= 10 m/s²)​

Answer 1

Answer:

• Mass of the body is 10kg
• It's weight on the moon is 1.66N

Explanation:

Weight of the object on earth is 100N.

We know that,

$W_e = mg$

Where,

• $W_e$ denotes the weight on earth.
• $m$ is the mass of the object.
• $g$ is the acceleration due to gravity.

Substitute the given values,

$\implies 100 = m \ast 10$

$\implies \dfrac{100}{10} = \dfrac{m \ast 10}{10} \: \: \: \rm [\because \: on \: dividing \: both \: sides \: by \: 10]$

$\implies 10 = m$

∴ mass of the object is 10kg

Calculating it's mass on moon

We know that,

Weight of the object on the moon = ⅙ × it's weight on the earth.

$\implies \: W_m = \dfrac{1}{6} \times W_e$

• $W_m$ denotes the weight in moon.

$\implies \: W_m = \dfrac{1}{6} \times 10$

$\implies \: W_m = \dfrac{10}{6}$

$\implies \: W_m = \rm 1.66$

∴ Weight of the object on moon is 1.66N.

Answer 2

Given :-

The weight of an object is 100 N on the surface of the Earth

To Find :-

Find its mass and weight on the surface of the moon.

Solution :-

We know that

W = m × g

⇒ 100 = m × 10

⇒ 100/10 = m

⇒ 10 = m

Now,

Since gravity on moon is 1/6th of Earth.

Gravity on moon = 10/6

⇒ 1.67 m/s²

Now

Weight on moon = m × g'

⇒ W = 10 × 1.67

⇒ W = 16.7 N