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

$\large\bf\underline {To \: find:-}$

• we need to find the weight of an object on moon ☾

$\huge\bf\underline{Solution:-}$

$\bf\underline{\red{Given:-}}$

• mass of object = 5kg [on earth ]
• Weight of object = 49N [ on earth ]

we know that,

✍︎ Weight = mass × acceleration

As we know that, Acceleration of object is due to gravity So,

weight = mass × acceleration due to gravity (g)

➳ 49 = 5 × g

➳ g = 49/5

➳ g = 9.8m/s²

Now,

● Acceleration on moon = 1/6 × 9.8

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= 1.63m/s²

So,

⠀⠀⠀⠀⠀⠀☾⠀weight on moon :-

⪼ weight = mass × acceleration on moon

⪼ weight = 5 × 1.63

⪼ weight = 8.15N

━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Answer:

Given:

• The mass and weight of an object on Earth are 5 kg and 49 N respectively.

Find:

• 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.

Using formula:

★ ${\sf{\underline{\boxed{\orange{\sf{Weight = Mass * Acceleration}}}}}}$

Note:

• Acceleration is due to gravity.

Know terms:

1. Weight = (W).
2. Gravity = (g).
3. Acceleration = (A).
4. Mass = (M).

Calculations:

= $\sf{49 = 5 * g}$

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

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

Finding the acceleration on moon:

= $\sf{A = \dfrac{1}{6} * 9.8}$

= ${\sf{\underline{\boxed{\red{\sf{1.63 \: m/s^{2} }}}}}}$

Finding the weight on moon:

= $\sf{W = 5 * 1.63}$

= ${\sf{\underline{\boxed{\pink{\sf{W = 8.15 N}}}}}}$