A force is applied to an object, causing it to move. The direction of the force and the direction of the motion are at an angle between parallel and perpendicular to each other. Which statement best describes the result of the work done in this situation?Multiple choice question.The work will be between zero and the product of the force and distance.The work will be zero.The work will be equal to the force multiplied by the distance.The work will be equal to the force divided by the distance.
Question
A force is applied to an object, causing it to move. The direction of the force and the direction of the motion are at an angle between parallel and perpendicular to each other. Which statement best describes the result of the work done in this situation?Multiple choice question.The work will be between zero and the product of the force and distance.The work will be zero.The work will be equal to the force multiplied by the distance.The work will be equal to the force divided by the distance.
Solution
The correct answer is: The work will be between zero and the product of the force and distance.
Here's why:
Work done (W) is defined as the dot product of the force (F) and the displacement (d), which can be mathematically represented as W = F * d * cos(θ), where θ is the angle between the force and the direction of motion.
If the force and the direction of motion are parallel (θ = 0 degrees), cos(θ) = 1, and the work done is maximum, equal to the product of the force and distance.
If the force and the direction of motion are perpendicular (θ = 90 degrees), cos(θ) = 0, and the work done is zero.
So, if the angle is between parallel and perpendicular (0 < θ < 90), the work done will be between zero and the product of the force and distance.
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