Question

An object weighs 400 N when measured on the surface of the earth. What would be its weight when measured on the surface of the moon?​

Answer 1

Answer:

The weight of the object will be 66.66N (the moon gravitational force is 1/6 of that of the earth )

Answer 2

$\large\star{ \large{ \underline{ \pmb{ \sf{Solution}}}}}$

As per the provided information in the given question, we have :

• Weight of object on the Earth, Wₑ = 400 N

We've been asked to calculate the weight of the object on the surface of the moon, Wₘ.

As we know that the weight on the moon is one-sixth of the weight on the earth. Mathematically,

↠Weight on moon = ⅙ × Weight on earth

Or,

$\begin{gathered}\twoheadrightarrow\quad\underline{\boxed{\sf{W_m = \dfrac{1}{6}W_e}}}\\\end{gathered}$

Substituting values in the formula,

$\begin{gathered} \\ \twoheadrightarrow\quad\sf { W_m = \dfrac{1}{6} \times400 \; N} \\\end{gathered} \\ \\\begin{gathered} \\ \\\twoheadrightarrow\quad\sf { W_m = \dfrac{1}{1} \times 66.66 \: \: N} \\\end{gathered} \\ \\\begin{gathered} \\\twoheadrightarrow\quad\underline{\boxed{\textbf{\textsf{W}}_{\textbf{\textsf{m}}}=\textbf{\textsf{66.66 \; N}} }}\\ \end{gathered}$

Therefore

∴ Weight of the object on the moon is 66.66 N.

$\rule500pt4pt$

Additional Information

★Mαss

• Mass is a measure of how much matter an object contains, while weight is a measure of the force of gravity on the object. An object has the same composition, and therefore mass, regardless of its location. For example, a person with a mass of 70 kg on Earth has a mass of 70 kg in space as well as on the moon. However, that same person's weight is not the same since gravity is different in these locations. The person will weigh less on the moon because the moon has less gravity. To better understand the concepts of weight and mass, we must first consider gravity and its effect on objects.

★Gɾαvíτy

• Gravity is the attractive pull between two objects that have mass. The strength of gravity is directly proportional to the amount of mass of each object. In other words, the larger the objects, the greater the gravitational attraction between them. For example, the gravitational pull you experience on Earth is much greater than it would be on the moon because the Earth's mass is greater. An object with twice as much mass will exert twice as much gravitational pull on other objects.

__________________________