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
if the force acting on the object is constant, which statement about inertia and acceleration is support by the data
A. an object with less mass has less inertia which causes it to speed up less quickly
B. an object with less mass more inertia which causes it to speed up more quickly
C. an object with a higher mass has more inertia which causes it to speed up less quickly
D. an object with a higher mass has less inertia which causes it to speed up more quickly
The correct statement supported by the data is:
C. An object with a higher mass has more inertia which causes it to speed up less quickly.
To analyze the data and determine the relationship between inertia, mass, and acceleration, we can look at the values in the table.
First, let's understand the meaning of the terms involved:
- Inertia is the resistance of an object to changes in its state of motion. It depends on an object's mass.
- Acceleration is the rate at which an object changes its velocity.
Now let's examine the data:
For force = 1 N, mass = 10 kg, and acceleration = 0.1 m/s^2.
For force = 2 N, mass = 10 kg, and acceleration = 0.2 m/s^2.
For force = 1 N, mass = 20 kg, and acceleration = 0.05 m/s^2.
For force = 2 N, mass = 20 kg, and acceleration = 0.1 m/s^2.
Comparing the data, we can observe that:
- For both force values, as mass increases, acceleration decreases.
- For both mass values, as force increases, acceleration increases.
Based on this data, the correct statement about inertia and acceleration is:
C. An object with a higher mass has more inertia, which causes it to speed up less quickly.
The data shows that as mass increases (thereby increasing inertia), the acceleration decreases. This implies that objects with higher mass (more inertia) speed up less quickly.
To determine which statement about inertia and acceleration is supported by the data, we need to analyze the relationship between mass and acceleration.
In the given data, we observe that the force applied is constant while the mass and acceleration vary. Let's compare the data for different masses:
For mass of 10 kg:
- With a force of 1 N, the acceleration is 0.1 m/s^2.
- With a force of 2 N, the acceleration is 0.2 m/s^2.
For mass of 20 kg:
- With a force of 1 N, the acceleration is 0.05 m/s^2.
- With a force of 2 N, the acceleration is 0.1 m/s^2.
From this data, we can see that as mass increases, the acceleration decreases for a constant force. This suggests that a higher mass has more inertia, which causes the object to speed up less quickly.
Therefore, the statement supported by the data is:
C. An object with a higher mass has more inertia, which causes it to speed up less quickly.