12
QuizMultiple Choice

Lab: Kinetic Energy — Unit test

Question 12 • WA-Physical Science B

Why is it important to know the direction of the force applied to a moving object and the direction in which the object is moving when determining the work done on the object?

Answer
A
Only the component of the force perpendicular to the motion is used to calculate the work.
B
If the force acts in the same direction as the motion, then no work is done.
C
When there is an angle between the two directions, the cosine of the angle must be considered.
D
A force at a right angle to the motion requires the use of the sine of the angle.

Explanation

Work depends on the component of force in the direction of the object's displacement: W = Fd cos θ, where θ is the angle between the force and motion. Therefore, when the directions form an angle, that angle’s cosine is needed. Choice C correctly states this; a perpendicular force does no work, while a force in the same direction as motion does positive work.

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