Problem about work done by the vector: F

Thread starter makyol
Start date Jul 16, 2010
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Vector Work Work done

In summary, the work done by a vector is the energy transferred or expended when the vector is applied to an object and causes it to move in the direction of the vector. To calculate it, you need to find the magnitude of the vector and the displacement of the object in the direction of the vector. The unit of measurement for work done by a vector is Joules (J). The work done can be negative if the displacement is in the opposite direction of the vector. The angle between the vector and displacement affects the work done by changing the effective force applied. When perpendicular, the work done is zero, and when parallel, the work done is at its maximum.

Jul 16, 2010

makyol

Homework Statement

[PLAIN]http://www.netbookolik.com/wp-content/uploads/2010/07/q.png

Homework Equations

The Attempt at a Solution

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Jul 16, 2010

hunt_mat

Homework Helper

Here's a hint, the work done is given by:
[tex]
\int_{C}\mathbf{F}\cdot d\mathbf{r}
[/tex]

1. What is work done by a vector?

The work done by a vector, specifically the vector F, refers to the energy transferred or expended when the vector F is applied to an object and causes it to move in the direction of the vector. It is calculated by multiplying the magnitude of the vector by the displacement of the object in the direction of the vector.

2. How is the work done by a vector calculated?

To calculate the work done by a vector, you first need to find the magnitude of the vector and the displacement of the object in the direction of the vector. Then, multiply the magnitude of the vector by the displacement to get the work done.

3. What is the unit of measurement for work done by a vector?

The unit of measurement for work done by a vector is Joules (J), which is equivalent to kg*m^2/s^2.

4. Can the work done by a vector be negative?

Yes, the work done by a vector can be negative if the displacement of the object is in the opposite direction of the vector. In this case, the vector is doing work against the object, reducing its energy.

5. How does the angle between the vector and the displacement affect the work done?

The angle between the vector and the displacement affects the work done by changing the effective force applied in the direction of the displacement. When the vector and displacement are perpendicular, the work done is zero, as the vector is not contributing to the movement of the object. When the vector and displacement are parallel, the work done is at its maximum, as the full force of the vector is contributing to the movement of the object.