Question

newton’s second law of motion can be modeled as:
f = (m)(a)
if mass is constant and force increases, the acceleration will ______.
(hint: applying a stronger force to the same mass)

• decrease
• increase
• not enough information
• remain constant

newton’s second law of motion can be modeled as:
f = (m)(a)
if force is constant and mass increases, the acceleration will ______.
(hint: applying the same force to larger mass)

Explanation:

First Sub - Question

Step1: Analyze the formula

The formula for Newton's Second Law is $F = m\times a$. We can re - arrange it to solve for acceleration: $a=\frac{F}{m}$.

Step2: Consider the given conditions

In the first sub - question, the mass ($m$) is constant and the force ($F$) increases. Since $a=\frac{F}{m}$, and $m$ is constant, if $F$ increases, the value of $\frac{F}{m}$ (which is $a$) will also increase.

Step1: Analyze the formula

Again, from $F = m\times a$, we have $a=\frac{F}{m}$.

Step2: Consider the given conditions

In the second sub - question, the force ($F$) is constant and the mass ($m$) increases. Since $a=\frac{F}{m}$, and $F$ is constant, if $m$ increases, the value of $\frac{F}{m}$ (which is $a$) will decrease.

Answer:

B. increase

Second Sub - Question