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How do you determine the amount of work needed for movement of objects?

Answer 1

If #F(x)# denotes the amount of force applied at position #x# and it moves from #x=a# to #x=b#, then the work #W# can be found by

#W=int_a^b F(x)dx#.

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Answer 2

Ezekiel Alexander

The amount of work needed for the movement of objects is determined by the formula:

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

Where:

W is the work done,
F is the force applied,
d is the distance over which the force is applied,
θ is the angle between the force vector and the direction of motion.

Alternatively, if the force is applied at a constant rate (constant force), the work done can be calculated using:

Work (W) = Force (F) × Distance (d)

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.