Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

an object is transported from the earth to the moon. which statement is…

Question

an object is transported from the earth to the moon. which statement is true about the object? the objects weight changes, but its mass stays the same. the objects mass and weight stay the same. the objects mass and weight both change. the objects mass changes, but its weight stays the same.

Explanation:

Brief Explanations

Mass is a measure of the amount of matter in an object and is constant regardless of location. Weight is the force exerted on an object due to gravity, \(W = mg\) (where \(m\) is mass and \(g\) is the acceleration due to gravity). The acceleration due to gravity on the moon (\(g_{moon}\approx1.62\ m/s^{2}\)) is less than on Earth (\(g_{earth}\approx9.8\ m/s^{2}\)). So, when an object is transported from Earth to the moon, its mass \(m\) remains the same (as the amount of matter doesn't change), but its weight \(W\) changes because \(g\) changes.

Answer:

The object’s weight changes, but its mass stays the same.