What is the displacement of the wrench?

In summary, displacement is a vector quantity that measures the change in position of an object in a specific direction. It is different from distance in that it takes into account the direction of movement. The displacement of an object can be calculated by subtracting its initial position from its final position. It is a vector quantity because it has both magnitude and direction, and is important in understanding the motion of objects in physics and other scientific fields.
  • #1
jeahomgrajan
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Homework Statement


a worker drops a wrench from top of building under construction. if g =9.8N/kg [down], after 7 seconds, what is the displacement of the wrench?


Homework Equations





The Attempt at a Solution



i don't know the formula, totally lost
 
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  • #2
What is the physical interpretation of g? Does g ever change during the fall? After answering those questions, you should be able to see if any of your four kinematic equations can help you. Let us know if you need any more help.
 
  • #3


The displacement of the wrench can be calculated using the formula x = x0 + v0t + 1/2at^2, where x is the displacement, x0 is the initial position, v0 is the initial velocity, t is the time, and a is the acceleration. In this case, x0 = 0, v0 = 0, t = 7 seconds, and a = 9.8 N/kg (downward). Plugging these values into the formula, we get x = 0 + 0 + 1/2(9.8)(7)^2 = 240.1 meters. This means that after 7 seconds, the wrench has fallen 240.1 meters from the top of the building.
 

1. What is displacement?

Displacement is a vector quantity that measures the change in position of an object in a specific direction. It is often represented by the symbol "Δx" or "d" and is measured in units such as meters (m) or centimeters (cm).

2. How is displacement different from distance?

While displacement measures the change in position of an object, distance measures the total length traveled by the object. Displacement takes into account the direction of movement, while distance does not.

3. How is the displacement of the wrench calculated?

The displacement of the wrench can be calculated by subtracting its initial position from its final position. This will give the change in position of the wrench in a specific direction.

4. Why is displacement a vector quantity?

Displacement is a vector quantity because it has both magnitude (size) and direction. This means that in order to fully describe the displacement of an object, both the distance and direction of the movement must be specified.

5. What is the importance of displacement in physics?

Displacement is an important concept in physics because it helps us understand the motion of objects and how they change position over time. It is also a fundamental concept in many other areas of science, such as mechanics, engineering, and fluid dynamics.

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