QUESTION IMAGE
Question
- a box is pushed with a constant force of 10 n. what will happen to its acceleration?
To solve this, we use Newton's second law, \( F = ma \) (where \( F \) is force, \( m \) is mass, and \( a \) is acceleration). Assuming the mass of the box is constant (a reasonable assumption here), we analyze the relationship between force and acceleration.
Step 1: Recall Newton's Second Law
Newton's second law is given by the formula:
\( F = ma \)
Step 2: Rearrange for Acceleration
We can rearrange the formula to solve for acceleration:
\( a = \frac{F}{m} \)
Step 3: Analyze the Relationship
From \( a = \frac{F}{m} \), if the force \( F \) is constant (10 N) and the mass \( m \) of the box remains constant (assuming no mass is added or removed from the box), the acceleration \( a \) will also remain constant. However, if the mass were to change (e.g., adding more weight to the box), the acceleration would change, but the problem states the force is constant and does not mention a change in mass. So, with a constant force and constant mass, the acceleration remains constant (or, more precisely, the acceleration is determined by the constant force and the constant mass, following \( a=\frac{10}{m} \) where \( m \) is fixed).
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If the mass of the box remains constant, the acceleration of the box will remain constant (specifically, \( a = \frac{10\,\text{N}}{m} \) where \( m \) is the mass of the box, and this value does not change as long as \( F = 10\,\text{N} \) and \( m \) is constant). If the mass were to change, the acceleration would change inversely with the mass (but the problem implies mass is constant here since only force is stated as constant).