Calculating Work on an Incline: Using Cosine of Theta for 30 Degrees

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To calculate the work done by a force on an object being pushed up an incline, the formula used is work = force x distance x cosine of theta. When the incline angle is 30 degrees and the distance along the plane is 3 meters with a force of 500N, the cosine of theta should be applied with the axis along the incline. This means the correct calculation is W = 500 x 3 x cos(0 degrees), as the force is acting in the same direction as the movement along the incline. The integral of the force over the distance confirms that both must align directionally to accurately determine work done. Thus, the work done by the force is calculated correctly using the incline's axis.
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if I am trying to determine the work done by a force on an object being pushed up an incline and am using the formula work = forcexdistancexcosine of theta and the angle of the incline from the ground is say 30 degrees, distance along the plane is 3 and force is 500N. would I use cosine of theta with axis along the incline or a normal axis?

For example



W = 500 x 3 x cos30 degrees or 500 x 3 x cos0 degrees to find the work done by the force of 500N pushing the object up the incline
 
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The work done is the integral of the force exerted over the distance moved. This means that the direction of force used and the distance traveled must be in the same direction to calculate the work done by that force.
 
ok i think i got it the axis would be along the incline in this case and to find the work done by the force acting on the object would be 500 x 3 x cos0
 
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