Question

Suppose you are chatting with your friend, who lives on the moon. He tells you he has just won a Newton of gold in a contest. Excitedly, you tell him that you entered the Earth version of the same contest and also won a Newton of gold. Who is richer

Answer 1

The friend on moon is richer.

Step-by-step explanation:

The value of acceleration due to gravity changes from planet to planet. So the weight of 1 Newton of gold carries different mass on different places. So we need to calculate the mass of gold that both persons have.

FRIEND ON MOON:

W₁ = m₁g₁

where,

W₁ = Weight of Gold won by friend on moon = 1 N

m₁ = mass of gold won by friend on moon = ?

g₁ = acceleration due to gravity on moon = 1.625 m/s²

Therefore,

1 N = m₁(1.625 m/s²)

m₁ = 0.62 kg

ON EARTH:

W₂ = m₂g₂

where,

W₂ = Weight of Gold won by me on Earth = 1 N

m₂ = mass of gold won by me on Earth = ?

g₂ = acceleration due to gravity on Earth = 9.8 m/s²

Therefore,

1 N = m₁(9.8 m/s²)

m₁ = 0.1 kg

Since, the friend on moon has greater mass of gold than me.

Therefore, the friend on moon is richer.