Physics Work & Energy SZABMU 2024
PMDC Verified Question 2 of 108
A man pulls a trolley through a distance of 50 m by applying a force of 100 N, which makes an angle of 60° with x-axis. Calculate the work done by the man? (\( \cos 60^{\circ} = 0.5 \))
A
2500 J
B
5340 J
C
6430 J
D
7120 J
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: 2500 J
Concept:

Only the component of force acting in the direction of displacement does work.

Formula:

$$ W = Fd \cos \theta $$

Solution:

  • Force (\( F \)) = 100 N


  • Displacement (\( d \)) = 50 m


  • Angle (\( \theta \)) = 60°


  • \( W = 100 \times 50 \times \cos(60^{\circ}) \).


  • \( W = 5000 \times 0.5 = 2500 \text{ J} \).


Why other options are incorrect:

If you ignore the angle completely and just multiply 100 x 50, you get 5000 J (not listed). The other options represent arbitrary math errors.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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