Question

(02.07 mc)
a net force of 25.0 n causes an object to accelerate at 4.00 m/s². what is the mass of the object?
○ a 0.16 kg
○ b 6.25 kg
○ c 55 kg
○ d 100 kg
question 4 (2 points)
(02.07 mc)
the table below shows the same force acting on various masses and the resulting acceleration. review the table.

mass	acceleration
75 kg	2.6 m/s²
60 kg	3.3 m/s²
40 kg	5 m/s²
20 kg	10 m/s²
5 kg	40 m/s²

what is the relationship between mass and acceleration as supported by the data table when acted on by a constant force?
○ a mass is inversely proportional to acceleration
○ b mass is directly proportional to acceleration
○ c acceleration decreases when mass decreases
○ d mass is unrelated to acceleration and motion

Explanation:

Step1: Recall Newton's second - law formula

According to Newton's second law, $F = ma$, where $F$ is force, $m$ is mass, and $a$ is acceleration. We need to find $m$, so we can rewrite the formula as $m=\frac{F}{a}$.

Step2: Substitute the given values

Given $F = 25.0\ N$ and $a = 4.00\ m/s^{2}$, then $m=\frac{25.0\ N}{4.00\ m/s^{2}}$.

Step3: Calculate the mass

$m = 6.25\ kg$.

For the second part:
As the mass in the table decreases, the acceleration increases when the force is constant. According to Newton's second - law $F = ma$, when $F$ is constant, $m$ and $a$ are related as $m=\frac{F}{a}$, which means mass is inversely proportional to acceleration.

Answer:

First question: B. 6.25 kg
Second question: A. Mass is inversely proportional to acceleration