Question

1. mass force as the force increases, so does the mass.

Explanation:

Step1: Recall Newton's Second Law

Newton's second law of motion is given by the formula \( F = ma \), where \( F \) is force, \( m \) is mass, and \( a \) is acceleration. If we assume acceleration is constant (for example, in a situation where we are looking at the relationship between force and mass for a fixed acceleration), we can rearrange the formula to solve for mass: \( m=\frac{F}{a} \).

Step2: Analyze the Relationship

From the formula \( m = \frac{F}{a} \) (with \( a \) constant), we can see that force (\( F \)) and mass (\( m \)) have a direct proportionality. This means that as the force (\( F \)) increases, the mass (\( m \)) will also increase (since \( a \) is constant, if \( F \) goes up, \( m \) must go up to maintain the equality, or if we are considering how mass changes with force for a given acceleration, increasing force implies increasing mass when acceleration is fixed). So the statement "As the force increases, so does the mass" is consistent with the direct proportionality between force and mass when acceleration is constant (from Newton's second law).

Answer:

The relationship between force and mass (as force increases, mass increases) is consistent with Newton's second law \( F = ma \) (for constant acceleration, \( m\propto F \)).