In a two-body collision,

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BlackTom AI · Accepted Answer

Here is a step-by-step analysis of each option for the statement given: In a two-body collision,
Option 1: 'kinetic energy is always conserved.' This is generally false. Kinetic energy is conserved in elastic collisions, but in inelastic collisions it is often converted to other forms such as heat, sound, or deformation energy. Therefore, stating that kinetic energy is always conserved is incorrect.
Option 2: 'both momentum and kinetic energy are always conserved.' While momentum is conserved in all closed, isolated systems (absent external forces), kinetic energy is not necessarily conserved unless the collision is elastic. Since the kinetic energy part fails in many real collisions, this option is also incorrect.
Option 3: 'neither momentum nor kinetic energy is conserved.' This claim contradicts a fundamental principle: momentum is always conserved in the absence of external impulses, even if kinetic energy changes. Therefore this option is incorrect because it denies the always-conserved momentum, which is not true.
Option 4: 'momentum is always conserved.' This aligns with Newton's laws for collisions in isolated systems: the total momentum before and after the collision remains constant regardless of the internal interactions, though kinetic energy may or may not be conserved depending on the elasticity of the collision. This option correctly captures the always-conserved quantity in a two-body collision under typical assumptions.

SPHY001 Practice Quiz - Unit 08 | LA048

In a two-body collision,

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