Physics Work & Energy KU 2024
PMDC Verified Question 6 of 108
How does an angle between the force applied and the direction of motion influence the work done on an object?
A
Work is constant regardless of the angle
B
Work is maximum when the angle is 0°
C
Work is negative when the angle is 90°
D
Work is 0 when the angle is 45°
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: Work is maximum when the angle is 0°
Concept:

Work done relies on the cosine of the angle between the force and displacement vectors.

Formula:

$$ W = Fd \cos \theta $$

Solution:

  • The cosine function determines the magnitude of work.


  • \( \cos(0^{\circ}) = 1 \) (Maximum positive work).


  • \( \cos(90^{\circ}) = 0 \) (Zero work).


  • \( \cos(180^{\circ}) = -1 \) (Maximum negative work).


  • Therefore, work is absolutely maximum when the angle is 0°.


Why other options are incorrect:

Work is zero at 90°, not negative (Option C). Work at 45° is positive (\( 0.707 \times Fd \)), not zero (Option D).

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