Physics Force & Motion DUHS 2023
PMDC Verified Question 48 of 137
A force 2F acting on a particle of mass 10kg produces an acceleration of \( 30 \text{ m/s}^2 \). a force 5F acting on a particle of mass M, produces an acceleration of \( 25 \text{ m/s}^2 \). What is the mass?
A
30 kg
B
21 kg
C
4.8 kg
D
3.3 kg
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: 30 kg
Concept:

Use Newton's Second Law sequentially to link the two scenarios.

Formula:

$$ F_{net} = ma $$

Solution:

  • Scenario 1: $$ 2F = 10 \times 30 = 300 $$


  • This implies \( F = 150 \text{ N} \).


  • Scenario 2: A force of 5F acts on mass M. Force applied = \( 5 \times 150 = 750 \text{ N} \).


  • Set up equation 2: $$ 750 = M \times 25 $$


  • Solve for M: $$ M = \frac{750}{25} = 30 \text{ kg} $$


Why other options are incorrect:

Algebraic errors solving for F or dividing incorrectly result in the other distractor values.

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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