Physics Force & Motion NUMS 2024
PMDC Verified Question 14 of 137
A ball with momentum 8 kg m/s hits a wall and bounces straight back without losing K.E. the change in momentum of this ball is:
A
4 Ns
B
-16 Ns
C
16 Ns
D
8 Ns
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: -16 Ns
Concept:

Momentum is a highly directional vector. Bouncing reverses the direction entirely.

Formula:

$$ \Delta P = P_f - P_i $$

Solution:

  • Because it doesn't lose K.E., the collision is perfectly elastic, meaning it bounces back with the exact same speed.


  • Initial momentum \( P_i = +8 \text{ kg m/s} \).


  • Final momentum (reversed direction) \( P_f = -8 \text{ kg m/s} \).


  • Change in momentum: \( \Delta P = -8 - 8 = -16 \text{ Ns} \) (or kg m/s).


Why other options are incorrect:

If one ignores direction, \( 8 - 8 = 0 \). Adding them incorrectly ignores the definition of a "change" (final - initial).

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