Question

A plane designed for vertical takeoff has a mass of 8.4x10³ kg. Find the net work done on the place as it accelerates upward.

Answer 1

The question is about calculating net work done on a plane during vertical acceleration, which requires more information such as vertical distance or applied force. Without these details, we cannot provide a numerical result for the net work done.

Step-by-step explanation:

The student's question pertains to the calculation of the net work done on a plane during vertical acceleration. However, there is missing information needed to accurately answer this question, such as the distance over which the acceleration occurs or the force applied. To calculate work, we use the formula:

Work = Force × Distance × cos(θ)

where θ is the angle between the force and the direction of displacement (which would be 0 degrees in a vertical takeoff as force and displacement are in the same direction). If we only know the mass of the plane and wish to consider the work done against gravity, we'd need to multiply its weight (mass × acceleration due to gravity) by the vertical displacement.

Without further details provided in the student's question regarding the vertical distance or the force applied (other than the force of gravity), we cannot calculate a numerical value for the net work.

Answer 2

The net work done on the place as it accelerates upward is calculated by multiplying the mass of the plane with the gravitational acceleration and the height gained. Therefore, the net work done is 8.4x10³ kg x 9.81 m/s² x h, where h is the height gained.

Step-by-step explanation:

Work is a scalar quantity which is calculated using the formula, work = force x distance. The net work done on a body is the total work done on the body by all the forces. In this case, the only force acting on the plane is gravity and the distance is the height gained by the plane.

Therefore, the net work done on the plane can be calculated by multiplying the force of gravity with the distance gained by the plane i.e. the height gained. The force of gravity is given by the formula, F = ma, where m is the mass of the plane and a is the gravitational acceleration.

Since, the mass of the plane is given to be 8.4x10³ kg and the gravitational acceleration is 9.81 m/s², the force of gravity acting on the plane is 8.4x10³ kg x 9.81 m/s². Therefore, the net work done on the plane as it accelerates upward is 8.4x10³ kg x 9.81 m/s² x h, where h is the height gained.

The net work done on the plane depends on the height gained by the plane from its initial position. The higher the height gained, the more work is done on the plane. As the plane accelerates upward, the net work done on the plane increases. The net work done on the plane is zero when it is at rest and reaches its highest value when it reaches its maximum height.