[1.] At the intesection of Russell Boulevard and La Rue Road, a yellow sub- compact with mass 1020 kg traveling west on Russell collides with a red pickup truck with mass 1800 kg traveling north on La Rue. The two vehicles stick together as a result of the collision, and the wreckage slides at speed || = 20 m/s in the direction = 30.0° west of north. Calculate the speed of each vehicle before the collision.. The collision occurs during a heavy rainstorm; you can ignore friction between the vehicles and the wet road. y (north) x (east) V

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**Problem 1: Collision at Russell Boulevard and La Rue Road**

At the intersection of Russell Boulevard and La Rue Road, a yellow sub-compact with a mass of 1020 kg traveling west on Russell collides with a red pickup truck with a mass of 1800 kg traveling north on La Rue. The two vehicles stick together as a result of the collision, and the wreckage slides at a speed of \( |\vec{v}| = 20 \, m/s \) in the direction \( \phi = 30.0^\circ \) west of north. Calculate the speed of each vehicle before the collision. The collision occurs during a heavy rainstorm; you can ignore friction between the vehicles and the wet road.

**Diagram Explanation:**

In the diagram, two vehicles are represented:
- The yellow sub-compact (represented by a yellow square) travels west (to the left on the diagram) on Russell Boulevard.
- The red pickup truck (represented by a red rectangle) travels north (upward on the diagram) on La Rue Road.

The diagram uses a coordinate system with the x-axis pointing east and the y-axis pointing north. The combined wreckage travels after the collision at 20 m/s at an angle \( \phi = 30.0^\circ \) west of north (shown as a blue vector making a 30.0° angle to the left of the vertical y-axis).

The challenge is to determine the original speeds of both vehicles before the collision occurred. The problem assumes there is no friction to consider during the collision due to the heavy rainstorm.
Transcribed Image Text:**Problem 1: Collision at Russell Boulevard and La Rue Road** At the intersection of Russell Boulevard and La Rue Road, a yellow sub-compact with a mass of 1020 kg traveling west on Russell collides with a red pickup truck with a mass of 1800 kg traveling north on La Rue. The two vehicles stick together as a result of the collision, and the wreckage slides at a speed of \( |\vec{v}| = 20 \, m/s \) in the direction \( \phi = 30.0^\circ \) west of north. Calculate the speed of each vehicle before the collision. The collision occurs during a heavy rainstorm; you can ignore friction between the vehicles and the wet road. **Diagram Explanation:** In the diagram, two vehicles are represented: - The yellow sub-compact (represented by a yellow square) travels west (to the left on the diagram) on Russell Boulevard. - The red pickup truck (represented by a red rectangle) travels north (upward on the diagram) on La Rue Road. The diagram uses a coordinate system with the x-axis pointing east and the y-axis pointing north. The combined wreckage travels after the collision at 20 m/s at an angle \( \phi = 30.0^\circ \) west of north (shown as a blue vector making a 30.0° angle to the left of the vertical y-axis). The challenge is to determine the original speeds of both vehicles before the collision occurred. The problem assumes there is no friction to consider during the collision due to the heavy rainstorm.
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