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 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.
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.
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.
Decreasing the mass of the airplane will result in the airplane accelerating more.
The correct statement is: Decreasing the mass of the airplane will result in the airplane accelerating more.
To explain why this statement is correct, we need to understand Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be expressed as the formula F = m * a, where F is the net force, m is the mass, and a is the acceleration.
In this scenario, we are assuming a constant net force, which means that the force provided by the engine remains the same for both airplanes. However, since the first airplane is twice as heavy as the second airplane, its mass is also twice as large. According to Newton's second law, if we decrease the mass of the airplane, the acceleration will increase.
So, if we decrease the mass of the airplane, the same engine force will cause a greater acceleration because the mass in the formula is smaller. Hence, the correct statement is: Decreasing the mass of the airplane will result in the airplane accelerating more.