Question

The acceleration of gravity in some planet is twice that in earth. You won a gold medalof weight 1 N in that planet and then come back to earth. How much will your goldmedal weigh in earth?

Answer 1

Given data:

* The acceleration of gravity on other planet is,

`g^(\prime)=2g`

where g' is the acceleration of gravity of the other planet , and g is the acceleration due to gravity of Earth,

* The weight of the gold medal on the other planet is,

`W^(\prime)=1\text{ N}`

Solution:

The weight of the gold medal on the other planet in terms of its mass is,

`\begin{gathered} W^(\prime)=mg^(\prime) \\ W^(\prime)=m(2g) \\ W^(\prime)=2mg \end{gathered}`

As the mass of gold medal remain unchanged,

Thus, the weight of the gold medal on Earth is,

`W=mg`

Thus,

`\begin{gathered} W^(\prime)=2W \\ W=(W^(\prime))/(2) \end{gathered}`

Substituting the known values,

`\begin{gathered} W=(1)/(2) \\ W=0.5\text{ N} \end{gathered}`

Thus, the weight of the gold medal on the Earth is 0.5 N.