Question

practice it! a bag of sugar on earth has a weight of 18 n. select the statement(s) that accurately describe the mass and weight of the bag of sugar if it were brought to the moon. the gravity on earth is stronger than on the moon. the weight is 3 n on the moon. the mass stays the same. the mass changes on the moon. the weight is 36 n on the moon.

Explanation:

Step1: Recall mass - weight concept

Mass is an inherent property of matter and does not change with location. Weight \(W = mg\), where \(m\) is mass and \(g\) is gravitational acceleration. The gravitational acceleration on Earth \(g_E\approx9.8\ m/s^2\) and on the Moon \(g_M=\frac{1}{6}g_E\).

Step2: Analyze mass

Since mass is a measure of the amount of matter, the mass of the bag of sugar stays the same on the Moon as on Earth.

Step3: Analyze weight

Given \(W_E = mg_E=18\ N\) on Earth. On the Moon, \(W_M=mg_M\). Since \(g_M=\frac{1}{6}g_E\), then \(W_M=\frac{1}{6}W_E=\frac{1}{6}\times18\ N = 3\ N\). Also, it is a known fact that the gravity on Earth is stronger than on the Moon.

Answer:

The gravity on Earth is stronger than on the Moon., The weight is 3 N on the moon., The mass stays the same.