As shown below, a 850 kg car traveling east collides with a 1820 kg pickup truck that is traveling north. The two vehicles stick together as a result of the collision. After the collision, the wreckage is sliding at v₁- 16 m/s in the direction -28° east of north. Calculate the speed of each vehicle before the collision. The collision occurs during a heavy rainstorm so you can ignore friction forces between the vehicles and the wet road. Express your answers using apropriate mks units. NORTH diagram V1 . EAST A.) Vcari = 23.595 m/s B.) Vtruck,i = 20.725 m/s C.) Determine what fraction of the total initial KE is turned into thermal energy as a result of the collision. ATE = 0.5447 X KE total,

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How would you find part C?
### Collision Analysis Between Car and Pickup Truck

As shown below, a **850 kg car** traveling east collides with a **1820 kg pickup truck** that is traveling north. The two vehicles stick together as a result of the collision. After the collision, the wreckage is sliding at \( v_f = 16 \, \text{m/s} \) in the direction \( \theta = 28^\circ \) east of north. Calculate the speed of each vehicle before the collision. The collision occurs during a heavy rainstorm, so you can ignore friction forces between the vehicles and the wet road. **Express your answers using appropriate mks units.**

#### Diagram
- The diagram displays a car moving east and a pickup truck moving north, with their collision resulting in a combined movement at an angle of \( \theta = 28^\circ \) east of north. 

#### Calculations
- **A.)** \( v_{\text{car},i} = 23.595 \, \text{m/s} \) ✔️
- **B.)** \( v_{\text{truck},i} = 20.725 \, \text{m/s} \) ✔️
- **C.)** Determine what fraction of the total initial kinetic energy is turned into thermal energy as a result of the collision.
  \[
  \frac{\Delta TE}{KE_{\text{total},i}} = 0.5447 \, (\text{incorrect})
  \]

### Notes
- The calculation of the fraction of kinetic energy turned into thermal energy involved comparing initial and final kinetic energies, but the answer provided seems to need revising.

### Conclusion
This content provides an in-depth analysis of a collision problem, facilitating understanding of physics concepts such as conservation of momentum and kinetic energy conversion in a real-world context.
Transcribed Image Text:### Collision Analysis Between Car and Pickup Truck As shown below, a **850 kg car** traveling east collides with a **1820 kg pickup truck** that is traveling north. The two vehicles stick together as a result of the collision. After the collision, the wreckage is sliding at \( v_f = 16 \, \text{m/s} \) in the direction \( \theta = 28^\circ \) east of north. Calculate the speed of each vehicle before the collision. The collision occurs during a heavy rainstorm, so you can ignore friction forces between the vehicles and the wet road. **Express your answers using appropriate mks units.** #### Diagram - The diagram displays a car moving east and a pickup truck moving north, with their collision resulting in a combined movement at an angle of \( \theta = 28^\circ \) east of north. #### Calculations - **A.)** \( v_{\text{car},i} = 23.595 \, \text{m/s} \) ✔️ - **B.)** \( v_{\text{truck},i} = 20.725 \, \text{m/s} \) ✔️ - **C.)** Determine what fraction of the total initial kinetic energy is turned into thermal energy as a result of the collision. \[ \frac{\Delta TE}{KE_{\text{total},i}} = 0.5447 \, (\text{incorrect}) \] ### Notes - The calculation of the fraction of kinetic energy turned into thermal energy involved comparing initial and final kinetic energies, but the answer provided seems to need revising. ### Conclusion This content provides an in-depth analysis of a collision problem, facilitating understanding of physics concepts such as conservation of momentum and kinetic energy conversion in a real-world context.
Expert Solution
Introduction:

We are given the masses of both vehicles. We are also given the final velocity of the lot. We first find the initial velocity of both vehicles by conservation of momentum. We then find the initial kinetic energy and final kinetic energy. We then find the difference in this kinetic energy which is the energy lost.

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