Question

which statement is correct about newtons second law? (1 point)
there is a positive correlation between force and acceleration for a constant mass.
there is a negative correlation between mass and force for a constant acceleration.
there is a positive correlation between mass and acceleration for a constant force.
there is a negative correlation between force and acceleration for a constant mass.

Explanation:

Newton's second law is \( F = ma \) (where \( F \) is force, \( m \) is mass, and \( a \) is acceleration).

• For a constant mass (\( m=\text{constant} \)), \( F = ma \) can be rewritten as \( a=\frac{F}{m} \). As \( F \) increases, \( a \) increases (positive correlation).
• For a constant acceleration (\( a = \text{constant} \)), \( F=ma \) shows a positive correlation between \( F \) and \( m \) (not negative).
• For a constant force (\( F=\text{constant} \)), \( a=\frac{F}{m} \) shows a negative correlation between \( m \) and \( a \) (not positive).

Answer:

There is a positive correlation between force and acceleration for a constant mass.