Physics Work & Energy PMDC 2021
PMDC Verified Question 73 of 108
Light body A and heavy body B have equal K. E of translation. Then
A
A has larger momentum than B
B
B has larger momentum than A
C
A and B have same momentum
D
None
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: B has larger momentum than A
Concept:

Relate kinetic energy and momentum directly using algebra.

Formula:

$$ p = \sqrt{2mK.E} $$

Solution:

  • Kinetic Energy (K.E) is equal for both bodies.


  • The formula shows that momentum \( p \) is proportional to \( \sqrt{m} \).


  • Since body B is heavier (\( m_B > m_A \)), it will have a larger momentum (\( p_B > p_A \)).


Why other options are incorrect:

People confuse the velocity relationships. A light body moves much faster to have the same KE, but momentum heavily favors the mass component when KE is held constant.

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