Question

scenario: four cars are pushed (beginning at rest). observe the data below and respond to the questions below. (lt 1.1)

	force	mass	acceleration
car 2	1200 n	200 kg	6 m/s²
car 3	1200 n	150 kg	8 m/s²
car 4	1200 n	? kg	10 m/s²

1. predict the change in mass of car 4 based on the data provided. be sure to refer to the data above.

claim (use a complete sentence, refer to the prompt, and identify the relationship): the change in mass of car 4 based on the data provided
evidence (identify relevant data (numbers with units) to support the claim):
reasoning
□ how is this scenario connected to newtons second law of motion?
□ state and explain the scientific reasoning behind the data.
□ refer to the arrow math on #3

Explanation:

Step1: Recall Newton's Second Law

Newton's Second Law is $F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration. We can re - arrange it to find mass $m=\frac{F}{a}$.

Step2: Identify force and acceleration for Car 4

For Car 4, the force $F = 1200\ N$ and the acceleration $a = 10\ m/s^{2}$.

Step3: Calculate the mass of Car 4

Using the formula $m=\frac{F}{a}$, we substitute $F = 1200\ N$ and $a = 10\ m/s^{2}$, so $m=\frac{1200}{10}=120\ kg$.

Answer:

The mass of Car 4 is 120 kg. The relationship between force, mass and acceleration as per Newton's Second Law ($F = ma$) is evident from the data. As the force is constant (1200 N for all cars) and the acceleration increases, the mass decreases. For Car 4, with a force of 1200 N and an acceleration of 10 m/s², the mass is calculated to be 120 kg. The evidence is the force value of 1200 N and acceleration value of 10 m/s² for Car 4. This scenario is connected to Newton's Second Law of motion because the law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object. Here, when the force is held constant, an increase in acceleration corresponds to a decrease in mass as seen across the four cars.