A sustained force of 56 moves a model airplane 16 along its runway to provide the required speed for takeoff. Find the kinetic energy at takeoff.

What is the formula?

W = fd

W also = change in K

896 The formula to calculate the kinetic energy of an object is given by the equation:

Kinetic Energy = (1/2) * mass * velocity^2

To find the kinetic energy at takeoff, we need to determine the velocity of the model airplane.

Kinetic energy can be calculated using force and distance only if we have information about the time it takes to cover that distance. However, in this case, we have the force and distance but not the time. Therefore, to find the kinetic energy, we need to use a different approach.

We can use the concept of work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy. Mathematically, it can be written as:

Work = Change in Kinetic Energy

Since the model airplane is at rest initially, the initial kinetic energy is zero. The work done on the airplane by the force is equal to the product of the force and the distance traveled:

Work = Force * Distance

In this case, the force is given as 56N, and the distance traveled is 16m. So we can plug in these values:

Work = 56N * 16m

To find the kinetic energy, we need to equate the work done to the change in kinetic energy. Since the initial kinetic energy is zero, the change in kinetic energy is equal to the final kinetic energy. Therefore:

56N * 16m = Final Kinetic Energy

Simplifying the equation:

Final Kinetic Energy = 56N * 16m

Now we can calculate the final kinetic energy by multiplying the force (56N) by the distance traveled (16m).