Answer:
Required Answer :
As per the provided information in the given question, we have :
Weight of an object on the surface of moon, \bf W_mW
m
= 1.67 N
Mass of the object on the surface of moon, \bf M_mM
m
= 1 kg
Acceleration due to gravity on Earth, g = 10 m/s²
We have been asked to calculate its weight and mass on the surface of earth.
As we know that the Mass of any object is constant, it doesn't change from place to place. Hence, mass of object on surface of Earth will be same as the mass of object on the surface of Moon i.e,
\begin{gathered} \dashrightarrow \quad\underline{\boxed{ \sf {\red{ \pmb{m}_{\pmb{E}} = \pmb{1 \; kg} } }}}\\ \end{gathered}
⇢
m
m
E
E
=
1kg
1kg
∴ Mass of object on surface of earth is 1 kg.
Now, as we know that weight is the product of mass and acceleration due to gravity. Hence,
\begin{gathered} \quad \quad \star \; \underline{\boxed{ \mathfrak {\pmb{W = mg} }}}\\ \end{gathered}
⋆
W=mg
W=mg
W denotes Weight
m denotes mass
g denotes acceleration due to gravity
Substitute the values in the formula.
\begin{gathered} \dashrightarrow \quad \sf { W_E = (1 \times 10) \; N } \\ \\ \dashrightarrow \quad\underline{\boxed{ \sf {\red{ \pmb{W}_{\pmb{E}} = \pmb{10 \; N} } }}}\\ \end{gathered}
⇢W
E
=(1×10)N
⇢
W
W
E
E
=
10N
10N
∴ Weight of of the object on the surface of earth is 10 N.