**Problem Statement:**A 76.3 kN car is traveling at 70.9 mph when the driver decides to exit the freeway by going up a ramp. After coasting 411 m along the exit ramp, the car's speed is 28.1 mph and it is \( h = 14.3 \, \text{m} \) above the freeway. What is the magnitude of the average drag force exerted on the car?**Solution:**\[ F_{\text{drag}} = \, \underline{\hspace{2cm}} \, \text{N} \]**Explanation:**To solve this problem, one would typically use the principles of energy conservation and Newton's laws. Consider the change in kinetic and potential energy while accounting for the work done by the drag force.1. **Initial and Final Kinetic Energy:** - Convert the car's initial and final speeds from mph to m/s. - Calculate initial kinetic energy (\( KE_i \)) and final kinetic energy (\( KE_f \)) using the formula: \[ KE = \frac{1}{2} m v^2 \]2. **Potential Energy:** - Compute the increase in potential energy (\( PE \)) using: \[ PE = mgh \] - Here, \( h = 14.3 \, \text{m} \).3. **Work Done by Drag Force:** - Use the work-energy principle which states that the work done by all forces is equal to the change in kinetic energy: \[ \text{Work}_\text{drag} = KE_i - KE_f - PE \] - The work done by the drag force can be expressed as: \[ \text{Work}_\text{drag} = F_{\text{drag}} \times \text{distance} \]4. **Calculate \( F_{\text{drag}} \):** - Rearrange the formula to solve for the drag force: \[ F_{\text{drag}} = \frac{KE_i - KE_f - PE}{\text{distance}} \]Substitute the known values and perform the calculation to find the magnitude of the drag force in Newtons.

Name: **Problem Statement:**A 76.3 kN car is traveling at 70.9 mph when the
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: **Problem Statement:**A 76.3 kN car is traveling at 70.9 mph when the driver decides to exit the freeway by going up a ramp. After coasting 411 m along the exit ramp, the car's speed is 28.1 mph and it is \( h = 14.3 \, \text{m} \) above the freeway