Question

Find the work of a function from one point to another using an appropriate calculator.

Answer 1

To find the work done by a force when moving an object, use the formula Work = Force x Distance x cos(theta). Calculate the magnitude of the force and distance, determine the angle between the force and displacement vectors, and multiply them to find the work done.

Step-by-step explanation:

To find the work done by a force when moving an object, we can use the formula:

Work (W) = Force (F) ∙ Distance (d) ∙ cos(θ)

1. Identify the force acting on the object and the distance it moves.
2. Calculate the magnitude of the force and the distance.
3. Determine the angle between the force vector and the displacement vector.
4. Multiply the force, distance, and the cosine of the angle to calculate the work done.

For example, if a force of 10 Newtons is applied to move an object a distance of 5 meters at an angle of 30 degrees, the work done can be calculated as:

W = 10 N ∙ 5 m ∙ cos(30°)

W = 10 N ∙ 5 m ∙ √3/2

W = 25√3 J