Question

1. a metal coin has certain properties that can be measured. which property of a coin is different on the moon than it is on earth?

a. density
b. mass
c. volume
d. weight

Explanation:

• Density: Density is a property of matter that depends on mass and volume. Since mass and volume of the coin remain the same (mass is the amount of matter and volume is the space it occupies, both unchanged when moving from Earth to moon), density \(d=\frac{m}{V}\) (where \(m\) is mass and \(V\) is volume) also remains the same.
• Mass: Mass is a measure of the amount of matter in an object. The coin has the same number of atoms (amount of matter) on the moon as on Earth, so mass is constant.
• Volume: Volume is the amount of space an object occupies. The coin's size (space - occupying property) does not change when moved from Earth to moon, so volume is constant.
• Weight: Weight \(W = mg\) (where \(m\) is mass and \(g\) is the acceleration due to gravity). The mass \(m\) of the coin is constant, but the acceleration due to gravity \(g\) on the moon (\(g_{moon}\approx1.62\ m/s^{2}\)) is less than that on Earth (\(g_{Earth}\approx9.8\ m/s^{2}\)). So, \(W_{moon}=m\times g_{moon}\) and \(W_{Earth}=m\times g_{Earth}\), and \(W_{moon}

Answer:

D. Weight