Disturbed by speeding cars outside his workplace. Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1800-kg car passes over a hump in a roadway that follows the are of a circle of radius 18.0 m as in the figure below. (a) If the car travels at 20.8 km/h what force does the road exert on the car as the car passes the highest point of the hump? magnitude direction IN down (b) What is the maximum speed the car can have without losing contact with the road as it passes this highest point? km/h
Disturbed by speeding cars outside his workplace. Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1800-kg car passes over a hump in a roadway that follows the are of a circle of radius 18.0 m as in the figure below. (a) If the car travels at 20.8 km/h what force does the road exert on the car as the car passes the highest point of the hump? magnitude direction IN down (b) What is the maximum speed the car can have without losing contact with the road as it passes this highest point? km/h
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Transcribed Image Text:**Title: Understanding the Physics of the "Holly Hump" Speed Bump**
**Introduction:**
This educational material explores the physics behind the "Holly hump," a speed bump designed by Nobel laureate Arthur Holly Compton. The exercise models the forces exerted on a car as it travels over a speed bump.
**Scenario:**
Suppose a 1800-kg car passes over a hump in a roadway that follows the arc of a circle with a radius of 18.0 m. This scenario helps us understand how speed and force interact when a car moves over the bump.
**Diagram Explanation:**
The diagram features a side view illustration of a car on a curved roadway segment marked with an arrow indicating motion. The radius of the circular path is labeled as 18.0 m.
**Physics Problems:**
**(a)** If the car travels at 20.8 km/h, what force does the road exert on the car as it passes the highest point of the hump?
- **Magnitude:** ____ N
- **Direction:** down
**(b)** What is the maximum speed the car can have without losing contact with the road as it passes this highest point?
- **____ km/h**
**Interactive Support:**
- For further assistance or to check your calculations, click on the "Read it" button.
These exercises aim to enhance understanding of centripetal force and motion dynamics, critical concepts in physics that describe how objects interact with forces in curved motion.
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