Question

The mass of a body on the earth is 15 kg. What will be its weight on the
surface of moon.(g = 10 m/s 2 )

Answer 1

Given:-

• Mass of body ,m = 15kg

• Acceleration due to gravity ,g =10m/s²

To Find:-

• weight of body on the moon (Wm)

Solution:-

As we know that

→ Weight = mass× acceleration due to gravity

Firstly we calculate the weight of body on the earth's surface

→ We = m×g

Substitute the value we get

→ We = 15×10

→ We = 150N

∴The weight of the body on the earth's surface is 150Newton.

Now we know that the acceleration due to gravity on the moon's surface is equal to 1/6 acceleration due to gravity on Earth's Surface.

Acceleration due to gravity on moon = 10×1/6= 10/6m/s²

→ Wm = m×g

→ Wm = 15×10/6

→ Wm = 5 ×5

→ Wm = 25N

∴ The weight of body on the moon surface is 25 Newton.

Answer 2

Given :-

• m = 15kg, mass of body

• g = 10m/s², Acceleration due to gravity.

To find :-

• Weight of body on moon (Wm)

Solution :-

Let,

⟹ Weight = mass × acceleration due to gravity.

• We have to calculate the weight of body on earth's surface.

⟹ We = m × g

Substitute the value,

• Wm = 15 × 10

• Wm = 150N

$\therefore$ 150N is the weight of the body on the earth's surface.

The gravity on the moon's surface is $\dfrac{1}{6}$ acceleration

Acceleration due to gravity on moon = $\rm\dfrac{10}{6}{m/s}^{2}$

⟹ Wm = m × g

• Wm = $15 </strong><strong>\</strong><strong>times \dfrac{10}{6} </strong><strong>$

• Wm = 5 × 5

• Wm = 25N

$\therefore$ The weight of the body on moon is 25N.