Finding position coordinates from given force vector

In summary, the position coordinates can be found by using the formula: position = force / mass. A force vector is a mathematical representation of the magnitude and direction of a force acting on an object. It is necessary to know the mass of the object in order to calculate the position coordinates from a given force vector. The direction of the position vector is determined by the direction of the force vector. Other factors that can affect the position coordinates include external forces and changes in mass.
  • #1
Sreekuttan Jayakumar
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1. A particle of mass m initially at rest at the origin is acted upon by a force (vector) F = xi+yj+zk. Its position vector after t seconds areI need instructions on solving this
 
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  • #2
Answer is : xt^2/2m, 2yt^2/m, zt^2/2m
But I really need instructions on solving this
 

FAQ: Finding position coordinates from given force vector

1. How do you find position coordinates from a given force vector?

The position coordinates can be found by using the formula: position = force / mass. This means that the position coordinates are equal to the force vector divided by the mass of the object. This will give you the direction and magnitude of the position vector.

2. What is a force vector?

A force vector is a mathematical representation of the magnitude and direction of a force acting on an object. It is typically represented by an arrow, where the length of the arrow represents the magnitude of the force and the direction of the arrow represents the direction in which the force is acting.

3. Can you find position coordinates if the mass is unknown?

No, the mass of the object is necessary in order to calculate the position coordinates from a given force vector. Without the mass, the formula position = force / mass cannot be used. Therefore, it is important to have knowledge of the mass of the object in order to find its position coordinates.

4. How do you determine the direction of the position vector?

The direction of the position vector can be determined by looking at the direction of the force vector. The position vector will always point in the same direction as the force vector, but will have a different magnitude depending on the mass of the object.

5. Are there any other factors that can affect the position coordinates?

Yes, there are other factors that can affect the position coordinates, such as external forces acting on the object and any changes in the mass of the object. In order to accurately calculate the position coordinates, all of these factors must be taken into consideration.

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