Answer
Verified
369.3k+ views
Hint:Mass of the body is a constant quantity and the acceleration due to the gravitational force on the moon is equal to approximately six times the acceleration due to the gravitational force on earth.
Complete step by step answer:
From the given question, we know that the weight of the body on earth is,
${W_e} = 60\;{\rm{kg}}$.
We know that the weight of a body on earth is equal to the product of mass of the body and acceleration due to gravity (gravitational force on earth).
${W_e} = m{g_e}$
We know that the value of acceleration due to gravity (gravitational force on earth) is $9.8\;{\rm{m/}}{{\rm{s}}^{\rm{2}}}$
Since we know that the mass is a constant quantity. It does not depend on the location of it.
Substitute the given values in the above equation, we get,
\[60 = m{g_e}\]
\[\Rightarrow m = \dfrac{{60}}{{9.8}}\;{\rm{kg}}\]
The acceleration due to the gravitational force on the moon is equal to approximately six times the acceleration due to the gravitational force on earth.
${g_m} = 6{g_e}$
The weight of the body on the moon is expressed as,.
${W_m} = m{g_m}$
Rewrite the above equation,
${W_m} = m\left( {\dfrac{6}{{{g_e}}}} \right)$
Substitute the values and expression in the above equation, we have,
$
{W_m} = \dfrac{{60}}{{9.8}}\left( {\dfrac{{9.8}}{6}} \right)\\
\therefore{W_m} = 10\;{\rm{N}}
$
Thus, the weight of the body on moon is 10 N and option C is correct.
Note:Always remember that mass of the body is the property of a matter and it is a constant quantity and it does not depend on the location of it. Mass cannot be zero and it has only magnitude so it is a scalar quantity. Its SI unit is kg. While weight is the product of mass and acceleration due to gravitational force. It does depend on the location of it. Since every planet has their own gravitational force so the weight of the body is different from different planets or satellites. It can be zero.
Complete step by step answer:
From the given question, we know that the weight of the body on earth is,
${W_e} = 60\;{\rm{kg}}$.
We know that the weight of a body on earth is equal to the product of mass of the body and acceleration due to gravity (gravitational force on earth).
${W_e} = m{g_e}$
We know that the value of acceleration due to gravity (gravitational force on earth) is $9.8\;{\rm{m/}}{{\rm{s}}^{\rm{2}}}$
Since we know that the mass is a constant quantity. It does not depend on the location of it.
Substitute the given values in the above equation, we get,
\[60 = m{g_e}\]
\[\Rightarrow m = \dfrac{{60}}{{9.8}}\;{\rm{kg}}\]
The acceleration due to the gravitational force on the moon is equal to approximately six times the acceleration due to the gravitational force on earth.
${g_m} = 6{g_e}$
The weight of the body on the moon is expressed as,.
${W_m} = m{g_m}$
Rewrite the above equation,
${W_m} = m\left( {\dfrac{6}{{{g_e}}}} \right)$
Substitute the values and expression in the above equation, we have,
$
{W_m} = \dfrac{{60}}{{9.8}}\left( {\dfrac{{9.8}}{6}} \right)\\
\therefore{W_m} = 10\;{\rm{N}}
$
Thus, the weight of the body on moon is 10 N and option C is correct.
Note:Always remember that mass of the body is the property of a matter and it is a constant quantity and it does not depend on the location of it. Mass cannot be zero and it has only magnitude so it is a scalar quantity. Its SI unit is kg. While weight is the product of mass and acceleration due to gravitational force. It does depend on the location of it. Since every planet has their own gravitational force so the weight of the body is different from different planets or satellites. It can be zero.
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE