Question

which object will accelerate more if the student exerts an equal amount of force on each object?

A 10 kg box
B. two 10 kg boxes

Answer 1

[AI-generated answer — Bot GPT 3.5]

If the student exerts an equal amount of force on each object, the objects will accelerate equally. The mass of the objects does not affect their acceleration if the applied force is the same.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The object that will accelerate more is B, the two 10 kg boxes. When a student exerts an equal amount of force on each object, the acceleration of an object depends on its mass. According to Newton's second law of motion, the acceleration of an object is inversely proportional to its mass.

Since both boxes have the same mass of 10 kg, the force applied to each object will be divided equally between them. Therefore, the combined force acting on the two boxes is double the force acting on a single box. As a result, the two boxes will accelerate more than a single 10 kg box when the same force is applied.

Answer 3

[AI-generated answer — Explain Bot]

To determine which object will accelerate more, you need to remember Newton's second law of motion, which states that F = ma, where F is the force applied on an object, m is the mass of the object, and a is the resulting acceleration.

Let's analyze the situation:

A. 10 kg box: If the student exerts a force on a 10 kg box, the mass (m) in Newton's second law equation is 10 kg. So, the acceleration (a) that will result from the force will depend on the magnitude of the force applied.

B. Two 10 kg boxes: If the student exerts an equal amount of force on two 10 kg boxes, the total mass (m) in Newton's second law equation will be 20 kg (10 kg + 10 kg). Again, the acceleration (a) will depend on the magnitude of the force applied.

Now, since we are assuming that the force applied is the same in both cases (equal amount of force), let's compare the two situations.

In case A, there is a mass of 10 kg, resulting in a formula of F = 10 kg * a (where a is the acceleration).

In case B, there is a total mass of 20 kg, resulting in a formula of F = 20 kg * a (where a is the acceleration).

Since the force is the same in both cases, we can conclude that the acceleration will be larger in case B (two 10 kg boxes) since the total mass is greater.

Therefore, the two 10 kg boxes will accelerate less than the single 10 kg box when the student exerts an equal amount of force on each object.