How to determine Force from hor. position vector?

In summary, to calculate the force from a horizontal position vector, use the formula F = m*a, taking into account the direction of the vector. A horizontal position vector is a vector that describes an object's position in a horizontal plane and can be used to determine distance and direction of movement. The direction of a horizontal position vector can be determined by the signs of the x and y coordinates. The mass of an object affects the calculated force, as it is a component of the formula. However, a horizontal position vector can only be used in situations where the object is moving in a horizontal plane, and may not accurately represent forces in more complex situations.
  • #1
ARJewell
6
0

Homework Statement


An object with mass 5000 grams starts from rest and its motion is described by the horizontal position vector given. Determine the force acting on this object at the time t=9sec:

x(t)=(.01/3)t^4-(.08sqrt(t^5))


Homework Equations


F=ma

The Attempt at a Solution


Would I just take the second derivative of the equation and use 5000 as the mass in grams?
 
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  • #2
Yes of course.
 

1. How do I calculate the force from a horizontal position vector?

To calculate the force from a horizontal position vector, you will need to use the formula F = m*a, where F is the force, m is the mass, and a is the acceleration. You will also need to know the direction of the vector, as this will affect the calculation. Once you have all the necessary information, plug it into the formula to determine the force.

2. What is a horizontal position vector?

A horizontal position vector is a vector that describes the position of an object in a horizontal plane. It is typically represented by two numbers, one for the x-axis and one for the y-axis, and is used to calculate the distance and direction of an object's movement.

3. How do I determine the direction of a horizontal position vector?

The direction of a horizontal position vector can be determined by looking at the sign of the x and y coordinates. If the x coordinate is positive and the y coordinate is zero, the vector is pointing to the right. If the x coordinate is negative and the y coordinate is zero, the vector is pointing to the left. If both coordinates are zero, the vector is pointing straight up or down.

4. How does the mass of an object affect the force calculated from a horizontal position vector?

The mass of an object affects the force calculated from a horizontal position vector because it is a component of the formula F = m*a. The greater the mass, the greater the force needed to accelerate the object. This means that a larger mass will result in a larger force calculated from the position vector.

5. Can a horizontal position vector be used to calculate forces in all situations?

No, a horizontal position vector can only be used to calculate forces in situations where the object is moving in a horizontal plane. If the object is moving in a vertical plane, a different position vector and formula will need to be used to calculate the force. Additionally, a horizontal position vector may not accurately represent the forces acting on an object in more complex situations, such as when there are multiple forces or when the object is rotating.

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