A small child is pulling you in a wagon but quickly gets tired and asks you to pull him in the wagon instead. Which statement is true after you switch places?
The acceleration of the wagon increases.
The inertia of the wagon increases.
The mass of the wagon increases.
The force on the wagon decreases.
The force on the wagon decreases.
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When the small child asks you to pull him in the wagon instead, there are a few changes that occur. Let's go through them one by one to determine which statement is true:
1. The acceleration of the wagon increases:
To determine this, we need to consider 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. In this situation, since you are now pulling the wagon, you are applying a force on it. If we assume that the net force remains constant and the mass of the wagon does not change, the acceleration would not increase. Therefore, this statement is not true.
2. The inertia of the wagon increases:
Inertia refers to an object's resistance to change in motion. It is directly related to an object's mass. So, if the mass of the wagon were to increase, its inertia would also increase. However, switching places with the child does not automatically change the mass of the wagon. Therefore, this statement is not true.
3. The mass of the wagon increases:
As mentioned in the previous point, switching places with the child does not affect the mass of the wagon. Therefore, this statement is also not true.
4. The force on the wagon decreases:
When the small child was pulling you, the force acting on the wagon was exerted by the child. However, once you switch places, you are now exerting the force on the wagon. If we assume the net force remains constant, then the force on the wagon does not decrease. Therefore, this statement is not true.
In conclusion, none of the given statements are true after switching places with the child.