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Θ=0 and force in same direction as displacement. What is the formula for work and what is the sign

User Bazdin
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1 Answer

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Final answer:

The formula for work when force and displacement are in the same direction (θ=0) is W = Fd, and the work done is positive.

Step-by-step explanation:

When θ=0 and the force is in the same direction as the displacement, the formula for work is W = Fd cos(θ), where W is work, F is the magnitude of the force acting on the object, d is the displacement of the object, and θ is the angle between the force and the displacement.

Because θ is zero degrees and the cosine of 0 is 1, the equation simplifies to W = Fd. This indicates that the work done is positive, as the force and displacement are in the same direction.

The formula for work is given by the equation W = Fd cos θ, where W is the work done, F is the force applied, d is the displacement, and θ is the angle between the force and displacement.

In this case, θ = 0 and the force is in the same direction as the displacement. As a result, the formula for work simplifies to W = Fd.

Since the force and displacement have the same direction, the work done is positive.

User John Zeringue
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