Question

Suppose you are talking by interplanetary telephone to your friend, who lives on the Moon. He tells you that 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

Answer:

The friend on moon will be richer.

Explanation:

We must calculate the mass of gold won by each person, to tell who is richer. For that purpose we will use the following formula:

W = mg

m = W/g

where,

m = mass of gold

W = weight of gold

g = acceleration due to gravity on that planet

FOR FRIEND ON MOON:

W = 1 N

g = 1.625 m/s²

Therefore,

m = (1 N)/(1.625 m/s²)

m(moon) = 0.6 kg

FOR ME ON EARTH:

W = 1 N

g = 9.8 m/s²

Therefore,

m = (1 N)/(9.8 m/s²)

m(earth) = 0.1 kg

Since, the mass of gold on moon is greater than the mass of moon on earth.

Therefore, the friend on moon will be richer.

Answer 2

Your friend on the Moon who won 1 N of gold is richer than you, who also won 1 N of gold but on the Earth.

Both you and your friend won 1 N of gold. To know who is richer, that is who has more gold, we need to calculate the mass of gold that each one has. We will use Newton's second law of motion.

$W = m \times g\\\\m = \frac{W}{g}$

where,

• W is the weight (1 N for both)
• m is the mass
• g is the gravity of the planet

Moon (g = 1.62 m/s²)

$m = \frac{1N}{1.62m/s^{2} } = 0.617 kg$

Earth (g = 9.81 m/s²)

$m = \frac{1N}{9.81m/s^{2} } = 0.102 kg$

Your friend on the Moon who won 1 N of gold is richer than you, who also won 1 N of gold but on the Earth.

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