Question

the same type of engine is placed in two different airplanes. the first airplane is twice as heavy as the second airplane. which statement is correct about the mass of the airplane and its acceleration, assuming a constant net force? (1 point) decreasing the mass of the airplane will result in the airplane accelerating less. increasing the acceleration of the airplane causes the engine to provide less force. increasing the acceleration of the airplane causes the engine to provide more force. decreasing the mass of the airplane will result in the airplane accelerating more.

Explanation:

Step1: Recall Newton's second - law

Newton's second - law is $F = ma$, where $F$ is the net force, $m$ is the mass, and $a$ is the acceleration. We are given that $F$ is constant.

Step2: Analyze the relationship between mass and acceleration

From $F = ma$, we can express $a=\frac{F}{m}$. When $F$ is constant, $a$ and $m$ are inversely proportional. That is, if $m$ decreases, $a$ increases.

Step3: Analyze the relationship between acceleration and force

The force provided by the engine is the net force in this case. From $F = ma$, if $m$ is constant, increasing $a$ requires increasing $F$. But the problem is about the effect of mass on acceleration with constant $F$.

Answer:

Decreasing the mass of the airplane will result in the airplane accelerating more.