Phrank and Phrancine are practicing to evidence that momentum is truly conserved in an inelastic collision. Phrank, weighing 80 lbs and running at 5 m.p.h jumps onto a stationary skateboard on which Phrancine sits. Phrancine's weight is 50 lbs and the weight of the skateboard is 5 lbs. Immediately following the collision, Phrank, Phrancine and the skateboard travel at 3 m.p.h. For their experiment, is it true that momentum is conserved? It is safe to suggest momentum as conserved if the percent difference between the momentum just before the collision (initial) and the momentum just after the collision (final) is within 10%. Note: % Difference x 100. Psystem JUST BEFORE COLLISION JUST AFTER COLLISION Pf-Pi (pi+p/) Table 1: Record experimental and theoretical data below. Velocity (m/s) Weight (lbs) Velocity (mi/hr) Mass (kg) Momenta (NS)

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**Educational Content: Momentum in Inelastic Collisions**

**Introduction**

Phrank and Phrancine are demonstrating the principle of momentum conservation in inelastic collisions. Phrank, who weighs 80 lbs, runs at 5 m.p.h. and jumps onto a stationary skateboard on which Phrancine sits. Phrancine weighs 50 lbs, and the skateboard weighs 5 lbs. After the collision, Phrank, Phrancine, and the skateboard travel at 3 m.p.h. 

**Objective**

To determine if momentum is conserved, calculate the percent difference between the initial momentum (just before collision) and the final momentum (just after collision). If the percent difference is within 10%, momentum is considered conserved.

**Percent Difference Calculation**

\[ \% \text{Difference} = \frac{|p_i - p_f|}{\frac{1}{2} (p_i + p_f)} \times 100 \]

**Experimental Data Table**

**Table 1: Record of Experimental and Theoretical Data**

| \(P_{\text{system}}\)         | Weight (lbs) | Velocity (mi/hr) | Mass (kg) | Velocity (m/s) | Momenta (Ns) |
|---------------------|--------------|-----------------|----------|----------------|-----------------|
| JUST BEFORE COLLISION  |              |                         |            |                       |                        |
| JUST AFTER COLLISION   |              |                         |            |                       |                        |

Fill in the table with experimental data to analyze momentum conservation during Phrank and Phrancine's experiment.

**Conclusion**

Analyze the data by calculating the percent difference in momentum to confirm if the principle of momentum conservation holds true in this inelastic collision scenario. If the difference is within the threshold, it supports the theoretical expectation of momentum conservation.
Transcribed Image Text:**Educational Content: Momentum in Inelastic Collisions** **Introduction** Phrank and Phrancine are demonstrating the principle of momentum conservation in inelastic collisions. Phrank, who weighs 80 lbs, runs at 5 m.p.h. and jumps onto a stationary skateboard on which Phrancine sits. Phrancine weighs 50 lbs, and the skateboard weighs 5 lbs. After the collision, Phrank, Phrancine, and the skateboard travel at 3 m.p.h. **Objective** To determine if momentum is conserved, calculate the percent difference between the initial momentum (just before collision) and the final momentum (just after collision). If the percent difference is within 10%, momentum is considered conserved. **Percent Difference Calculation** \[ \% \text{Difference} = \frac{|p_i - p_f|}{\frac{1}{2} (p_i + p_f)} \times 100 \] **Experimental Data Table** **Table 1: Record of Experimental and Theoretical Data** | \(P_{\text{system}}\) | Weight (lbs) | Velocity (mi/hr) | Mass (kg) | Velocity (m/s) | Momenta (Ns) | |---------------------|--------------|-----------------|----------|----------------|-----------------| | JUST BEFORE COLLISION | | | | | | | JUST AFTER COLLISION | | | | | | Fill in the table with experimental data to analyze momentum conservation during Phrank and Phrancine's experiment. **Conclusion** Analyze the data by calculating the percent difference in momentum to confirm if the principle of momentum conservation holds true in this inelastic collision scenario. If the difference is within the threshold, it supports the theoretical expectation of momentum conservation.
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