To analyze the situation, we can use Newton's second law of motion, which states that \( F = ma \), where \( F \) is the net force, \( m \) is the mass, and \( a \) is the acceleration.
In this scenario, if the first airplane is twice as heavy as the second airplane, we can denote the mass of the second airplane as \( m \) and the mass of the first airplane as \( 2m \).
Assuming the same engine provides the same constant force \( F \):
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For the lighter (second) airplane: \[ F = m a_2 \implies a_2 = \frac{F}{m} \]
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For the heavier (first) airplane: \[ F = 2m a_1 \implies a_1 = \frac{F}{2m} \]
From these equations, we can deduce the following:
- The lighter airplane (mass \( m \)) will have a greater acceleration \( a_2 \) compared to the heavier airplane (mass \( 2m \)) which will have a smaller acceleration \( a_1 \).
With this understanding, the correct statements from the provided options seem to be:
- "Decreasing the mass of the airplane will result in the airplane accelerating more."
- "Increasing the acceleration of the airplane causes the engine to provide more force."
Thus, the most accurate answer regarding acceleration and mass is:
Decreasing the mass of the airplane will result in the airplane accelerating more.
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