Question

The mass and weight of an object on earth are 5 kg and 49 N respectively. what will be their values on the moon? Assume that the acceleration due to gravity on the moon is 1/6th of that on the earth.... ​

Answer 1

Answer :

Mass of object = 5kg

Weight of object on earth = 49N

Acceleration due to gravity on the surface of moon is 1/6th of that on the earth.

We have to find weight of object on the surface of moon$.$

_________________________________

◈ Weight of an object is given by

• W = m × g

W denotes weight

m denotes mass

g denotes acc. due to gravity of planet

First of all, we need to find acceleration due to gravity on the surface of earth.

➝ W = m × g

➝ 49 = 5 × g

➝ g = 9.8 m/s²

◈ Weight of object on moon :

➝ W' = m × g'

➝ W' = m × g/6

➝ W' = 5 × 9.8/6

➝ W' = 8.17N

Answer 2

$\bf\bold\red{Answer\: :}$

• The weight on the moon will be 8.1665 N.

FORMULA :

• Weight = ma.
• Weight = mg.
• Assume acceleration due to gravity of the moon is $\dfrac {1}{6}th$ of that on the earth.

Here,

m = mass.

a = acceleration.

g = gravity.

GIVEN :

• Mass of the object on the earth = 5 kg.
• Weight of the object on the earth = 49 N.

TO FIND :

• What will be the Acceleration and weight on the moon = ?

SOLUTION :

$\hookrightarrow$ Weight = mg

Put the values in the equation,

$\sf 49 N \: = \: 5 \: \times \: g$

$\sf g \: = \: \dfrac {49}{5}$

$\sf g \: = \: 9.8 \: m/s^{2}$

$\therefore \boxed{\sf g \: = \: 9.8 \: m/s^{2}}$

Acceleration on the moon,

$\hookrightarrow \sf \dfrac {1}{6} \times 9.8 \: = \: 1.6333 \: m/s^{2}$

The weight of the moon,

$\sf 5 \: \times \: 1.6333$

$\sf 8.1665 \: N$

$\therefore \boxed{\sf w \: = \: 8.1665 \: N}$