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)
Responses
Decreasing the mass of the airplane will result in the airplane accelerating more.
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.
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 less.
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.
Decreasing the mass of the airplane will result in the airplane accelerating more.
Decreasing the mass of the airplane will result in the airplane accelerating more.
To determine which statement is correct, let's analyze the relationship between mass, acceleration, and the net force acting on an object.
According to Newton's second law of motion, the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a).
In this case, assuming a constant net force, we have two different airplanes with the same type of engine. The mass of the first airplane is twice that of the second airplane.
1. Decreasing the mass of the airplane will result in the airplane accelerating more:
Since the net force is constant, if we decrease the mass of the airplane, according to the equation F = m * a, this means that the acceleration of the airplane will increase. Therefore, the statement "Decreasing the mass of the airplane will result in the airplane accelerating more" is correct.
2. Increasing the acceleration of the airplane causes the engine to provide more force:
The acceleration of an object is not dependent on the force provided by the engine. Instead, the force provided by the engine is determined by the mass of the object. So, the statement "Increasing the acceleration of the airplane causes the engine to provide more force" is incorrect.
3. Decreasing the mass of the airplane will result in the airplane accelerating less:
As mentioned earlier, according to the equation F = m * a, if the mass decreases and the force remains constant, then the acceleration will increase. Therefore, the statement "Decreasing the mass of the airplane will result in the airplane accelerating less" is incorrect.
4. Increasing the acceleration of the airplane causes the engine to provide less force:
Again, as stated before, the acceleration is not a factor that determines the force provided by the engine. Therefore, the statement "Increasing the acceleration of the airplane causes the engine to provide less force" is incorrect.
To summarize, the correct statement is: "Decreasing the mass of the airplane will result in the airplane accelerating more."