Multiple Choice
A truck can go around a flat curve of radius 150m with a maximum speed of 32m/s before slipping. Calculate the maximum speed it can go around a tighter curve of radius 75m.
Table of contents
- 0. Math Review
- 1. Intro to Physics Units
- 2. 1D Motion / Kinematics
- Vectors, Scalars, & Displacement
- Average Velocity
- Intro to Acceleration
- Position-Time Graphs & Velocity
- Conceptual Problems with Position-Time Graphs
- Velocity-Time Graphs & Acceleration
- Calculating Displacement from Velocity-Time Graphs
- Conceptual Problems with Velocity-Time Graphs
- Calculating Change in Velocity from Acceleration-Time Graphs
- Graphing Position, Velocity, and Acceleration Graphs
- Kinematics Equations
- Vertical Motion and Free Fall
- Catch/Overtake Problems
- 3. Vectors
- Review of Vectors vs. Scalars
- Introduction to Vectors
- Adding Vectors Graphically
- Vector Composition & Decomposition
- Adding Vectors by Components
- Trig Review
- Unit Vectors
- Introduction to Dot Product (Scalar Product)
- Calculating Dot Product Using Components
- Intro to Cross Product (Vector Product)
- Calculating Cross Product Using Components
- 4. 2D Kinematics
- 5. Projectile Motion
- 6. Intro to Forces (Dynamics)
- 7. Friction, Inclines, Systems
- 8. Centripetal Forces & Gravitation
- Uniform Circular Motion
- Period and Frequency in Uniform Circular Motion
- Centripetal Forces
- Vertical Centripetal Forces
- Flat Curves
- Banked Curves
- Newton's Law of Gravity
- Gravitational Forces in 2D
- Acceleration Due to Gravity
- Satellite Motion: Intro
- Satellite Motion: Speed & Period
- Geosynchronous Orbits
- Overview of Kepler's Laws
- Kepler's First Law
- Kepler's Third Law
- Kepler's Third Law for Elliptical Orbits
- Gravitational Potential Energy
- Gravitational Potential Energy for Systems of Masses
- Escape Velocity
- Energy of Circular Orbits
- Energy of Elliptical Orbits
- Black Holes
- Gravitational Force Inside the Earth
- Mass Distribution with Calculus
- 9. Work & Energy
- 10. Conservation of Energy
- Intro to Energy Types
- Gravitational Potential Energy
- Intro to Conservation of Energy
- Energy with Non-Conservative Forces
- Springs & Elastic Potential Energy
- Solving Projectile Motion Using Energy
- Motion Along Curved Paths
- Rollercoaster Problems
- Pendulum Problems
- Energy in Connected Objects (Systems)
- Force & Potential Energy
- 11. Momentum & Impulse
- Intro to Momentum
- Intro to Impulse
- Impulse with Variable Forces
- Intro to Conservation of Momentum
- Push-Away Problems
- Types of Collisions
- Completely Inelastic Collisions
- Adding Mass to a Moving System
- Collisions & Motion (Momentum & Energy)
- Ballistic Pendulum
- Collisions with Springs
- Elastic Collisions
- How to Identify the Type of Collision
- Intro to Center of Mass
- 12. Rotational Kinematics
- 13. Rotational Inertia & Energy
- More Conservation of Energy Problems
- Conservation of Energy in Rolling Motion
- Parallel Axis Theorem
- Intro to Moment of Inertia
- Moment of Inertia via Integration
- Moment of Inertia of Systems
- Moment of Inertia & Mass Distribution
- Intro to Rotational Kinetic Energy
- Energy of Rolling Motion
- Types of Motion & Energy
- Conservation of Energy with Rotation
- Torque with Kinematic Equations
- Rotational Dynamics with Two Motions
- Rotational Dynamics of Rolling Motion
- 14. Torque & Rotational Dynamics
- 15. Rotational Equilibrium
- 16. Angular Momentum
- Opening/Closing Arms on Rotating Stool
- Conservation of Angular Momentum
- Angular Momentum & Newton's Second Law
- Intro to Angular Collisions
- Jumping Into/Out of Moving Disc
- Spinning on String of Variable Length
- Angular Collisions with Linear Motion
- Intro to Angular Momentum
- Angular Momentum of a Point Mass
- Angular Momentum of Objects in Linear Motion
- 17. Periodic Motion
- 18. Waves & Sound
- 19. Fluid Mechanics
- 20. Heat and Temperature
- Temperature
- Linear Thermal Expansion
- Volume Thermal Expansion
- Moles and Avogadro's Number
- Specific Heat & Temperature Changes
- Latent Heat & Phase Changes
- Intro to Calorimetry
- Calorimetry with Temperature and Phase Changes
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes
- Phase Diagrams, Triple Points and Critical Points
- Heat Transfer
- 21. Kinetic Theory of Ideal Gases
- 22. The First Law of Thermodynamics
- 23. The Second Law of Thermodynamics
- 24. Electric Force & Field; Gauss' Law
- 25. Electric Potential
- 26. Capacitors & Dielectrics
- 27. Resistors & DC Circuits
- 28. Magnetic Fields and Forces
- 29. Sources of Magnetic Field
- 30. Induction and Inductance
- 31. Alternating Current
- 32. Electromagnetic Waves
- 33. Geometric Optics
- 34. Wave Optics
- 35. Special Relativity
8. Centripetal Forces & Gravitation
Flat Curves
Back8. Centripetal Forces & Gravitation
Flat Curves
- Open Questionflat (unbanked) curve on a highway has a radius of 170.0 m. A car rounds the curve at a speed of 25.0 m/s. (a) What is the minimum coefficient of static friction that will prevent sliding?
- Open Question
(II) A car drives in a spiral path of gradually decreasing radius in a large empty parking lot. The speed is held constant at 10.0 m/s, and the car starts at a distance of 50.0 m from the center of the spiral. If the coefficient of static friction is 0.80, how far is the car from the center when it first starts to skid?
- Open Question
A car is heading along a flat slippery road at a speed of 95 km/h. The minimum distance within which it can stop (because of ABS) is 66 m. Estimate the radius of the sharpest curve the car can negotiate on an icy flat surface at the same speed without skidding out.
- Open QuestionA car can just barely turn a corner on an unbanked road at 45 km/h on a dry sunny day. What is the car's maximum cornering speed on a rainy day when the coefficient of static friction has been reduced by 50%?
- Open QuestionA 1500 kg car takes a 50-m-radius unbanked curve at 15 m/s. What is the size of the friction force on the car?