A rocket motor is used for different model rockets that have different masses. The results of tests for a rocket motor are shown in the table.
Mass (kg) Acceleraction (m/s^2)
0.0900 157
0.1000 141
0.1132 124
Given the same amount of force, which conclusion is correct?
a. Increased mass results in reduced acceleration.
b. Mass and acceleration have a direct relationship.
c. Acceleration increases regardless of mass.
d. Mass increases with acceleration.
a. Increased mass results in reduced acceleration.
To determine the correct conclusion, we need to analyze the relationship between mass and acceleration using the given data.
In this case, the rocket motor is used for different model rockets with different masses. The table provides the mass of the rockets and the corresponding acceleration that they experience.
Let's first look at option a: "Increased mass results in reduced acceleration." To determine if this statement is correct, we need to compare the values of mass and acceleration. Looking at the table, we can see that as the mass increases from 0.0900 kg to 0.1000 kg to 0.1132 kg, the corresponding acceleration decreases from 157 m/s^2 to 141 m/s^2 to 124 m/s^2. Hence, we can conclude that as the mass increases, the acceleration decreases. Therefore, option a is correct.
Now, let's examine option b: "Mass and acceleration have a direct relationship." From the aforementioned analysis, we have determined that as the mass increases, the acceleration decreases. A direct relationship implies that both variables would increase or decrease together. Since, in this case, as mass increases, acceleration decreases, we can conclude that mass and acceleration do not have a direct relationship. Therefore, option b is incorrect.
Next, let's consider option c: "Acceleration increases regardless of mass." Based on the data, we have observed that as mass increases, the acceleration actually decreases. Therefore, option c is incorrect.
Finally, let's evaluate option d: "Mass increases with acceleration." From the data, we can see that as mass increases, the acceleration actually decreases. Hence, we can conclude that mass does not increase with acceleration. Therefore, option d is incorrect.
In conclusion, the correct conclusion is option a: "Increased mass results in reduced acceleration."
To determine the correct conclusion, let's analyze the given information:
Mass (kg) Acceleraction (m/s^2)
0.0900 157
0.1000 141
0.1132 124
From the table, we can observe that as the mass increases, the acceleration decreases. This is evident from the decreasing values of acceleration as the mass increases.
Based on this observation, we can conclude that "Increased mass results in reduced acceleration." Therefore, the correct option is a. Increased mass results in reduced acceleration.