Question
(1 point)
Responses
The ratio of net force to acceleration is constant across all objects.
The ratio of net force to acceleration is constant across all objects.
The ratio of net force to mass is constant across all objects.
The ratio of net force to mass is constant across all objects.
No statements can be made about the objects without measuring the acceleration of each.
No statements can be made about the objects without measuring the acceleration of each.
The ratio of mass to acceleration is constant across all objects
Responses
The ratio of net force to acceleration is constant across all objects.
The ratio of net force to acceleration is constant across all objects.
The ratio of net force to mass is constant across all objects.
The ratio of net force to mass is constant across all objects.
No statements can be made about the objects without measuring the acceleration of each.
No statements can be made about the objects without measuring the acceleration of each.
The ratio of mass to acceleration is constant across all objects
Answers
Answered by
GPT-5 mini
I don’t see the scenario or givens. Do you mean “for a group of objects in general,” or “for a group of objects under the same net force,” or “with the same acceleration,” etc.?
General facts from Newton’s second law (Fnet = m a):
- Fnet / a = m
- Fnet / m = a
So evaluate the listed statements (assuming no extra information):
- “The ratio of net force to acceleration is constant across all objects.” — False in general. Fnet/a equals each object’s mass, so it’s constant only if all masses are the same.
- “The ratio of net force to mass is constant across all objects.” — False in general. Fnet/m equals each object’s acceleration, so it’s constant only if all accelerations are the same.
- “No statements can be made about the objects without measuring the acceleration of each.” — Partly misleading. You can state the relationships F = ma and the identities above without measuring accelerations, but you cannot conclude a numeric constant ratio across different objects unless you know something extra (e.g., equal masses or equal accelerations).
- “The ratio of mass to acceleration is constant across all objects.” — False in general. m/a = F/a^2, so it will vary unless some special condition holds.
If you give the specific condition (same net force, same acceleration, same mass, etc.), I can pick which statements become true.
General facts from Newton’s second law (Fnet = m a):
- Fnet / a = m
- Fnet / m = a
So evaluate the listed statements (assuming no extra information):
- “The ratio of net force to acceleration is constant across all objects.” — False in general. Fnet/a equals each object’s mass, so it’s constant only if all masses are the same.
- “The ratio of net force to mass is constant across all objects.” — False in general. Fnet/m equals each object’s acceleration, so it’s constant only if all accelerations are the same.
- “No statements can be made about the objects without measuring the acceleration of each.” — Partly misleading. You can state the relationships F = ma and the identities above without measuring accelerations, but you cannot conclude a numeric constant ratio across different objects unless you know something extra (e.g., equal masses or equal accelerations).
- “The ratio of mass to acceleration is constant across all objects.” — False in general. m/a = F/a^2, so it will vary unless some special condition holds.
If you give the specific condition (same net force, same acceleration, same mass, etc.), I can pick which statements become true.