QuestionIn the Initial state, Ball 1 and Ball 2 approach each other with velocities shown in the figure; the velocity vectors are not drawn to scale. In the Final state after the collision, they have final velocities and deflection angles as shown. The collision is inelastic, and the system kinetic energy lost is . In the math expressions below, all "v" terms should be considered as speeds, and or as positive angles. Which one of the following equations is false?
Initial
Final
1 pts
Studdy Solution
STEP 1
1. The collision is inelastic, meaning kinetic energy is not conserved.
2. Momentum is conserved in both the horizontal and vertical directions.
3. The system loses kinetic energy .
STEP 2
1. Analyze kinetic energy conservation.
2. Analyze momentum conservation in the horizontal direction.
3. Analyze momentum conservation in the vertical direction.
4. Evaluate the inequality statement.
STEP 3
In an inelastic collision, kinetic energy is not conserved. The equation:
is correct because it accounts for the kinetic energy lost .
STEP 4
Conservation of momentum in the horizontal direction gives:
This equation is correct.
STEP 5
Conservation of momentum in the vertical direction gives:
This equation is correct.
STEP 6
The inequality is not necessarily true. Momentum conservation does not imply this inequality.
The false equation is:
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