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θ is less than 90° and force is points in same general direction as displacement. What is the formula for work and what is the sign?

User Arberg
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Final answer:

Work is calculated using the formula W = Fd cos(θ) and will be positive when θ is less than 90 degrees, with force and displacement in the same direction.

Step-by-step explanation:

The formula for work done by a force during displacement is W = Fd cos(θ), where W is work, F is the magnitude of the force, d is the magnitude of the displacement, and θ is the angle between the force vector F and the displacement vector d. Since θ is less than 90° and the force points in the same general direction as displacement, the cosine of θ will be positive, resulting in a positive value for work. Therefore, the sign of the work done will be positive.

User Murhaf Sousli
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