Physics Work & Energy MDCAT 2010
PMDC Verified Question 102 of 108
If velocity is double, then.
A
Momentum increase 4 times and K.E increases 2 times
B
Momentum increases 2 times and K.E increase constant
C
Momentum and K.E remain same
D
Momentum increases 2 times and K.E increases 4 times
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: Momentum increases 2 times and K.E increases 4 times
Concept:

Momentum is directly proportional to velocity, while kinetic energy is proportional to the square of velocity.

Formula:

$$ p = mv \quad \text{and} \quad K.E = \frac{1}{2}mv^2 $$

Solution:

  • If \( v' = 2v \):


  • New momentum: \( p' = m(2v) = 2mv = 2p \) (Increases 2 times)


  • New Kinetic Energy: \( K.E' = \frac{1}{2}m(2v)^2 = \frac{1}{2}m(4v^2) = 4 \times \left(\frac{1}{2}mv^2\right) = 4 K.E \) (Increases 4 times)


Why other options are incorrect:

Options A, B, and C swap or ignore the linear relationship of momentum and the quadratic relationship of kinetic energy with velocity.

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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