Work done against resistive forces by comparing Ek and work done

In summary, the work done against resistive forces is the energy needed to overcome a resistance when moving an object. It is directly related to the change in kinetic energy and can be negative if the resistive forces act in the opposite direction of movement. The work done can be calculated by multiplying the magnitude of the resistive force by the distance it acts over. This work can decrease the speed of an object by converting its kinetic energy into other forms.
  • #1
g9WfI
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Homework Statement
A car of mass 900kg accelerates from 0 to 26.8 m/s in 9.2 s. The thrust from the engine is constant at 3500 N during this period. By comparing the kinetic energy gained by the car with the total work done by the engine, calculate the work done against resistive forces.
Relevant Equations
suvat, kinetic energy, work done
IMG_86F1E608F5D0-1.jpeg

Missed units in the photo - J

Answer is 110 000 J
 
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  • #2
g9WfI said:
Homework Statement:: A car of mass 900kg accelerates from 0 to 26.8 m/s in 9.2 s. The thrust from the engine is constant at 3500 N during this period. By comparing the kinetic energy gained by the car with the total work done by the engine, calculate the work done against resistive forces.
Relevant Equations:: suvat, kinetic energy, work done

View attachment 284260
Missed units in the photo - J

Answer is 110 000 J
3500 * 123.48 = 431480, not 43300
 
  • #3
Steve4Physics said:
3500 * 123.48 = 431480, not 43300
Thank you so much!
 
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1. What is the definition of work done against resistive forces?

Work done against resistive forces is the energy expended in overcoming any opposing forces that act on an object as it moves. This can include friction, air resistance, and other forms of resistance that act against the motion of an object.

2. How is work done against resistive forces calculated?

The work done against resistive forces can be calculated by multiplying the magnitude of the resistive force by the distance over which the force is applied. This can be represented by the equation W = Fd, where W is the work done, F is the resistive force, and d is the distance.

3. How does kinetic energy relate to work done against resistive forces?

Kinetic energy (Ek) is the energy that an object possesses due to its motion. When an object moves against resistive forces, some of its kinetic energy is converted into work done against those forces. This means that as Ek decreases, the work done against resistive forces increases.

4. Can work done against resistive forces ever be negative?

Yes, work done against resistive forces can be negative if the resistive force is acting in the same direction as the object's motion. This means that the object is losing kinetic energy as it moves, and the work done against resistive forces is actually doing work on the object to slow it down.

5. How is the concept of work done against resistive forces useful in real-world applications?

The concept of work done against resistive forces is useful in understanding and predicting the behavior of objects in motion. It is particularly important in engineering and physics, where it is used to design and analyze systems that involve motion and resistive forces, such as vehicles, machines, and structures.

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