With what maximum accuracy can its position be determined?

In summary, to determine the position of a 2000kg car traveling at a speed of 22 m/s with maximum accuracy, you would need to use the equation (deltaX)(deltaP)>=h/2pi and take into consideration the uncertainty in momentum, represented by the (+/-) 0.25 in the given speed value.
  • #1
ronpaulkid
8
0

Homework Statement



An 2000kg car is traveling with a speed of (22 (+/-) 0.25) m/s.
With what maximum accuracy can its position be determined?

Homework Equations



(deltaX)(deltaP)>=h/2pi

The Attempt at a Solution



My attempt was solving for deltaX in the above equation. I used (1.06*10^-34 Js) for the h/2pi and then divided by the mass*velocity which would be (2000kg*22m/s). I don't know how to take into consideration the (+/-).25, or if that is even relevant to the problem.
 
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  • #2
Sure it's relevant. You don't want to divide by P. You want to divide by deltaP, the uncertainty in the momentum.
 

1. What does "maximum accuracy" mean in this context?

"Maximum accuracy" refers to the highest level of precision that can be achieved when determining the position of a specific object. It is the smallest possible margin of error that can be obtained through a particular measurement or method.

2. What factors can affect the maximum accuracy of determining an object's position?

There are several factors that can affect the maximum accuracy of determining an object's position. These include the quality and precision of the measuring equipment, the expertise and skill of the person performing the measurement, environmental conditions such as lighting and atmospheric disturbances, and the inherent limitations of the measurement technique itself.

3. How is the maximum accuracy of an object's position determined?

The maximum accuracy of an object's position is determined by conducting multiple measurements and calculating the average, as well as taking into account the potential sources of error. This process is known as error analysis and allows for a more accurate determination of an object's position.

4. Is there a universal maximum accuracy for determining an object's position?

No, there is no universal maximum accuracy for determining an object's position as it can vary depending on the specific object, measurement technique, and other factors. However, there are certain scientific standards and practices that aim to achieve the highest possible accuracy in measurements.

5. Can the maximum accuracy of an object's position be improved?

Yes, the maximum accuracy of an object's position can be improved through advancements in technology and techniques, as well as by minimizing sources of error and conducting thorough error analysis. However, there will always be inherent limitations and uncertainties in any measurement process that may prevent achieving perfect accuracy.

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