a student collects data during an investigation about inertia and acceleration
force (N)| mass (KG) | Acceleration (M/S2)
. . . . . 1 | . . . .. .. 10 | 0.1
. . . . . 2 | . . . .. .. 10 | 0.2
. . . . . 1 | . . . .. .. 20 | 0.05
. . . . . 2 | . . . .. .. 20 | 0.1
Based on the given data, the student collected information about the force, mass, and acceleration of objects during an investigation on inertia and acceleration.
The data is presented in a tabular form:
Force (N) | Mass (KG) | Acceleration (M/S2)
----------------------------------------------
1 | 10 | 0.1
2 | 10 | 0.2
1 | 20 | 0.05
2 | 20 | 0.1
Each row represents a different combination of force, mass, and acceleration. The first row shows that for a force of 1 N and a mass of 10 kg, the acceleration is 0.1 m/s^2.
Similarly, the second row indicates that for a force of 2 N and a mass of 10 kg, the acceleration is 0.2 m/s^2.
The third row shows that for a force of 1 N and a mass of 20 kg, the acceleration is 0.05 m/s^2.
Finally, the fourth row indicates that for a force of 2 N and a mass of 20 kg, the acceleration is 0.1 m/s^2.
These values demonstrate the relationship between force, mass, and acceleration and allow for analysis and further investigation into inertia and acceleration.
To analyze the data collected during the investigation about inertia and acceleration, we can create a table with the given values for force, mass, and acceleration:
| Force (N) | Mass (kg) | Acceleration (m/s^2) |
|-----------|-----------|----------------------|
| 1 | 10 | 0.1 |
| 2 | 10 | 0.2 |
| 1 | 20 | 0.05 |
| 2 | 20 | 0.1 |
From this table, we can observe the following patterns:
1. As the force applied increases (from 1 N to 2 N), with the mass and acceleration remaining constant, the acceleration increases.
2. As the mass increases (from 10 kg to 20 kg), with the force and acceleration remaining constant, the acceleration decreases.
These patterns correspond to Newton's second law, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
To analyze the relationship between force, mass, and acceleration based on the given data, we can use the formula:
Force (N) = Mass (kg) x Acceleration (m/s^2)
Let's calculate the force values for each data point:
1. For the first data point:
Mass = 10 kg
Acceleration = 0.1 m/s^2
Force = Mass x Acceleration
= 10 kg x 0.1 m/s^2
= 1 N
2. For the second data point:
Mass = 10 kg
Acceleration = 0.2 m/s^2
Force = Mass x Acceleration
= 10 kg x 0.2 m/s^2
= 2 N
3. For the third data point:
Mass = 20 kg
Acceleration = 0.05 m/s^2
Force = Mass x Acceleration
= 20 kg x 0.05 m/s^2
= 1 N
4. For the fourth data point:
Mass = 20 kg
Acceleration = 0.1 m/s^2
Force = Mass x Acceleration
= 20 kg x 0.1 m/s^2
= 2 N
We have calculated the force values for each data point using the given mass and acceleration values.