Answer
Verified
378k+ views
Hint:The Moon has a weaker gravitational force than Earth because it is smaller. In reality, the Moon has only a sixth of the gravity of Earth. This means that on the Moon, you weigh six times less than you do on Earth.
Complete step by step answer:
The weight of an object is the gravitational force acting on it, and it can be calculated by multiplying the mass by the acceleration of gravity,
$W=mg$
Here, $W$ is the weight of the object, $m$ is the mass of the object and $g$ is the acceleration due to gravity. Since the weight is a force, its SI unit is the newton (N). It is given that the weight of the object on earth is 20 N and we need to find the weight of the object on the surface of the moon. That is,
\[m = \dfrac{w}{g}\]
Substituting the values to the formula, we get
\[m = \dfrac{{20}}{{10}}\]
That is,
\[m = 2\,kg\]
Now that it has been mounted on the moon, its acceleration due to gravity would be 1/6\[\left( {{g^1}} \right)\] that of the earth. That is,
\[W = m{g^1}\]
\[\Rightarrow W = 2 \times \dfrac{g}{6}\]
\[\Rightarrow W = \dfrac{{10}}{3}\]
\[\therefore W = 3.33,N\]
Hence, the weight of the object on the moon is 3.33 N.
Note:Remember that the weight of an object is the gravitational force acting on it, and it can be calculated by multiplying the mass by the acceleration of gravity. Keep in mind the equation, $W=mg$.
Complete step by step answer:
The weight of an object is the gravitational force acting on it, and it can be calculated by multiplying the mass by the acceleration of gravity,
$W=mg$
Here, $W$ is the weight of the object, $m$ is the mass of the object and $g$ is the acceleration due to gravity. Since the weight is a force, its SI unit is the newton (N). It is given that the weight of the object on earth is 20 N and we need to find the weight of the object on the surface of the moon. That is,
\[m = \dfrac{w}{g}\]
Substituting the values to the formula, we get
\[m = \dfrac{{20}}{{10}}\]
That is,
\[m = 2\,kg\]
Now that it has been mounted on the moon, its acceleration due to gravity would be 1/6\[\left( {{g^1}} \right)\] that of the earth. That is,
\[W = m{g^1}\]
\[\Rightarrow W = 2 \times \dfrac{g}{6}\]
\[\Rightarrow W = \dfrac{{10}}{3}\]
\[\therefore W = 3.33,N\]
Hence, the weight of the object on the moon is 3.33 N.
Note:Remember that the weight of an object is the gravitational force acting on it, and it can be calculated by multiplying the mass by the acceleration of gravity. Keep in mind the equation, $W=mg$.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE