Question

1. how are the mass and weight of an object related? (1 point) mass equals weight multiplied by the acceleration due to gravity. mass and weight are the same. weight equals mass plus the acceleration due to gravity. weight equals mass multiplied by the acceleration due to gravity.

Explanation:

• Mass: It is the amount of matter in an object. Its SI unit is kilogram (kg). It is a scalar quantity and remains constant regardless of the object's location in the universe.
• Weight: It is the force exerted on an object due to gravity. Its SI unit is newton (N). The formula for weight \(W\) is \(W = m\times g\), where \(m\) is the mass of the object and \(g\) is the acceleration due to gravity (\(g = 9.8\ m/s^{2}\) on the surface of the Earth).
• Analyzing the options:
• Option 1: Mass \(m=\) weight \(W\times g\) is incorrect. From \(W = m\times g\), we get \(m=\frac{W}{g}\).
• Option 2: Mass and weight are not the same. Mass is a measure of matter, and weight is a force.
• Option 3: Weight \(W=m + g\) is incorrect. The correct formula is \(W=m\times g\).
• Option 4: Weight \(W\) equals mass \(m\) multiplied by the acceleration due to gravity \(g\) (\(W = m\times g\)), which is correct.

Answer:

Weight equals mass multiplied by the acceleration due to gravity.