What change in kinetic energy does an airplane experience on takeoff if it is moved a distance of 600 m by a sustained net force of 5400 N?
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To determine the change in kinetic energy experienced by the airplane during takeoff, we can use the work-energy theorem. The work-energy theorem states that the net work done on an object is equal to the change in its kinetic energy.
The formula for work is given by W = F * d * cosθ, where W is the work done, F is the force applied, d is the displacement, and θ is the angle between the force and displacement vectors. In this case, since the force and displacement are in the same direction (the airplane is moving forward), the angle θ is 0°, and cosθ is equal to 1.
Multiplying the force and displacement values together, we get the work done on the airplane:
W = F * d
= 5400 N * 600 m
= 3,240,000 J
The work done on the airplane is 3,240,000 Joules.
Using the work-energy theorem, we can equate the work done to the change in kinetic energy:
W = ΔKE
Therefore, the change in kinetic energy of the airplane during takeoff is 3,240,000 Joules.