2. Assume that the coefficient of kinetic friction between rubber tires and a road material is 0.75. A car is initially traveling at 45.0 miles per hour (convert this to meters per second). The brakes are then applied, causing the tires to slide against the road (using kinetic friction) until the car comes to rest. Calculate the distance that the car travels from the time that the brakes are applied until the car comes to rest.

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**Problem 2:**

Assume that the coefficient of kinetic friction between rubber tires and a road material is 0.75. A car is initially traveling at 45.0 miles per hour (convert this to meters per second). The brakes are then applied, causing the tires to slide against the road (using kinetic friction) until the car comes to rest. Calculate the distance that the car travels from the time that the brakes are applied until the car comes to rest.

**Solution Approach:**

1. **Convert Speed from Miles per Hour to Meters per Second:**
   - 1 mile = 1609.34 meters
   - 1 hour = 3600 seconds
   - Convert 45.0 miles per hour to meters per second.

2. **Apply the Physics of Kinetic Friction:**
   - Utilize the formula for kinetic friction and motion to determine the stopping distance.
   - The stopping distance can be found using the work-energy principle or kinematic equations that incorporate friction.

3. **Calculate Distance:**
   - Use the formula that involves initial velocity, frictional force, and distance to find the distance traveled by the car until it comes to rest.
Transcribed Image Text:**Problem 2:** Assume that the coefficient of kinetic friction between rubber tires and a road material is 0.75. A car is initially traveling at 45.0 miles per hour (convert this to meters per second). The brakes are then applied, causing the tires to slide against the road (using kinetic friction) until the car comes to rest. Calculate the distance that the car travels from the time that the brakes are applied until the car comes to rest. **Solution Approach:** 1. **Convert Speed from Miles per Hour to Meters per Second:** - 1 mile = 1609.34 meters - 1 hour = 3600 seconds - Convert 45.0 miles per hour to meters per second. 2. **Apply the Physics of Kinetic Friction:** - Utilize the formula for kinetic friction and motion to determine the stopping distance. - The stopping distance can be found using the work-energy principle or kinematic equations that incorporate friction. 3. **Calculate Distance:** - Use the formula that involves initial velocity, frictional force, and distance to find the distance traveled by the car until it comes to rest.
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