Physics Work & Energy MDCAT 2017
PMDC Verified Question 89 of 108
Work done will be zero if angle between Force and displacement is:
A
B
270°
C
60°
D
360°
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: 270°
Concept:

Work is the dot product of force and displacement, meaning it depends directly on the cosine of the angle between them.

Formula:

$$ W = Fd \cos \theta $$

Solution:

  • When \( \theta = 270^{\circ} \), the force and displacement are perpendicular to each other.


  • \( \cos(270^{\circ}) = 0 \)


  • Therefore, \( W = Fd(0) = 0 \)


Why other options are incorrect:

At 0° and 360°, \( \cos \theta = 1 \), yielding maximum positive work. At 60°, \( \cos(60^{\circ}) = 0.5 \), yielding half the maximum work.

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