Physics Force & Motion ETEA 2023
PMDC Verified Question 36 of 137
Equal forces F act on isolated bodies A and B. The mass of B is 1/5 times that of A. The magnitude of the acceleration of A is:
A
1/5 times that of B
B
1/3 times that of B
C
The same as B
D
Nine times that of B
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: 1/5 times that of B
Concept:

Newton's Second Law establishes an inverse relationship between mass and acceleration for a constant force.

Formula:

$$ a = \frac{F}{m} $$

Solution:

  • Let body A have mass \( m_A \) and acceleration \( a_A \).


  • Body B has mass \( m_B = \frac{1}{5} m_A \) and acceleration \( a_B \).


  • Since the force is the same: \( m_A a_A = m_B a_B \).


  • Substitute \( m_B \): $$ m_A a_A = \left(\frac{1}{5}m_A\right) a_B $$


  • Cancel \( m_A \): $$ a_A = \frac{1}{5} a_B $$


Why other options are incorrect:

Because A is strictly 5 times heavier than B, the same push will cause A to accelerate at only 1/5 the rate of B.

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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