Question
A student is investigating inertia and acceleration. The data the student collects is shown in the table.
Force (N) Mass (kg) Acceleration (m/s2)
1 10 0.1
2 10 0.2
1 20 0.05
2 20 0.1
Assuming the force acting on the objects is constant, which claim about inertia and acceleration is supported by the data?
A.
An object with a lower mass has less inertia which causes it to speed up less quickly.
B.
An object with a higher mass has more inertia which causes it to speed up less quickly.
C.
An object with a lower mass has more inertia which causes it to speed up more quickly.
D.
An object with a higher mass has less inertia which causes it to speed up more quickly.
Force (N) Mass (kg) Acceleration (m/s2)
1 10 0.1
2 10 0.2
1 20 0.05
2 20 0.1
Assuming the force acting on the objects is constant, which claim about inertia and acceleration is supported by the data?
A.
An object with a lower mass has less inertia which causes it to speed up less quickly.
B.
An object with a higher mass has more inertia which causes it to speed up less quickly.
C.
An object with a lower mass has more inertia which causes it to speed up more quickly.
D.
An object with a higher mass has less inertia which causes it to speed up more quickly.
Answers
GPT-4o mini
The data collected shows that when the mass of the object increases, the acceleration decreases for the same amount of force applied. This supports the relationship between mass, inertia, and acceleration as described by Newton's second law of motion (F = ma), which states that acceleration is inversely proportional to mass when force is constant.
Based on the provided data:
- For a force of 1 N, a 10 kg mass has an acceleration of 0.1 m/s², while a 20 kg mass has an acceleration of 0.05 m/s².
- For a force of 2 N, a 10 kg mass has an acceleration of 0.2 m/s², while a 20 kg mass has an acceleration of 0.1 m/s².
This demonstrates that as mass increases (which corresponds to greater inertia), acceleration decreases for the same applied force.
Thus, the correct claim supported by the data is:
**B. An object with a higher mass has more inertia which causes it to speed up less quickly.**
Based on the provided data:
- For a force of 1 N, a 10 kg mass has an acceleration of 0.1 m/s², while a 20 kg mass has an acceleration of 0.05 m/s².
- For a force of 2 N, a 10 kg mass has an acceleration of 0.2 m/s², while a 20 kg mass has an acceleration of 0.1 m/s².
This demonstrates that as mass increases (which corresponds to greater inertia), acceleration decreases for the same applied force.
Thus, the correct claim supported by the data is:
**B. An object with a higher mass has more inertia which causes it to speed up less quickly.**