Find the work done by nonconservative forces in stopping the plane.

In summary, the work done by nonconservative forces in stopping the 18000 kg airplane with a speed of 92 m/s on a stationary aircraft carrier deck that is 115 m long is approximately 1.9 * 10^8 J, or -7.6 x 10^7 J if rounded to 2 significant digits. The most efficient way to solve this problem is through energy considerations, taking into account the kinetic energy before and after the plane is stopped.
  • #1
stuckne1
3
0

Homework Statement


Find the work done by nonconservative forces in stopping the plane.

A 18000 {\rm kg} airplane lands with a speed of 92 {\rm m/s} on a stationary aircraft carrier deck that is 115 {\rm m} long.


Homework Equations


W = FD


The Attempt at a Solution



18000 * 92 * 115 = 190440000 J

Unless it's wanting 1.9 * 10^8 = 190000000 J (which seems wrong since detail is lost)

(I don't think that's 2 significant digits.)
 
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  • #2
stuckne1 said:

Homework Statement


Find the work done by nonconservative forces in stopping the plane.

A 18000 {\rm kg} airplane lands with a speed of 92 {\rm m/s} on a stationary aircraft carrier deck that is 115 {\rm m} long.


Homework Equations


W = FD


The Attempt at a Solution



18000 * 92 * 115 = 190440000 J

Unless it's wanting 1.9 * 10^8 = 190000000 J (which seems wrong since detail is lost)

(I don't think that's 2 significant digits.)

The best way to solve this type of problem is with energy considerations. What was the KE of the plane just before it traps on the carrier deck? What is the KE right after it is stopped by the wire? Wher did that energy go?
 
  • #3
it was 1/2(m)(v)^2 or something.

The answer was -7.6 x 10 ^7

Thanks!
 
  • #4
stuckne1 said:
it was 1/2(m)(v)^2 or something.

The answer was -7.6 x 10 ^7

Thanks!

Does that mean that you calculated the correct answer? What are the units of the answer?
 
  • #5
Yes, the units of the correct answer was in joules.
 

FAQ: Find the work done by nonconservative forces in stopping the plane.

1. What are nonconservative forces?

Nonconservative forces are external forces that do not follow the principle of conservation of mechanical energy. These forces can change the total mechanical energy of a system, such as kinetic or potential energy, and are typically dissipative in nature.

2. How do nonconservative forces affect the work done on an object?

Nonconservative forces can do work on an object by dissipating or transforming energy. This means that they can decrease the kinetic energy of the object and increase its potential energy, or vice versa. The total work done by nonconservative forces is equal to the change in mechanical energy of the object.

3. How does the work done by nonconservative forces impact the motion of an object?

The work done by nonconservative forces can cause a change in the motion of an object. If the work done is positive, meaning the nonconservative forces increase the total mechanical energy of the object, the object will experience an increase in speed. If the work done is negative, the object will experience a decrease in speed.

4. How is the work done by nonconservative forces calculated?

The work done by nonconservative forces can be calculated using the formula Wnc = ΔK + ΔU, where Wnc is the work done by nonconservative forces, ΔK is the change in kinetic energy, and ΔU is the change in potential energy. This formula takes into account the change in mechanical energy of the object due to the nonconservative forces.

5. Can nonconservative forces do work on an object without changing its mechanical energy?

No, nonconservative forces always result in a change in the mechanical energy of an object. This is because these forces are dissipative and do not follow the principle of conservation of mechanical energy. Any work done by nonconservative forces will result in a change in the object's kinetic and/or potential energy.

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