An airplane pilot fell 370 m after jumping from an aircraft without his parachute opening. He landed in a snowbank, creating a crater 1.1 m deep, but survived with only minor injuries. Assuming the pilot’s mass was 82 kg and his terminal velocity was 45 m/s, estimate: the work done on him by air resistance as he fell. Model him as a particle.
- 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
9. Work & Energy
Intro to Calculating Work
- Textbook Question822views
- Textbook Question
Consider a force F₁ = which acts on an object during its journey along the x axis from x = 0.0 to x = 1.0m, where A = 3.0 Nm¹⸍². Show that during this journey, even though F₁ is infinite at x = 0.0, the work W done on the object by this force is finite, and determine W.
916views - Textbook Question
A 3.0-m-long steel chain is stretched out along the top level of a horizontal scaffold at a construction site, in such a way that 2.0 m of the chain remains on the top level and 1.0 m hangs vertically, Fig. 7–27. At this point, the force on the hanging segment is sufficient to pull the entire chain over the edge. Once the chain is moving, the kinetic friction is so small that it can be neglected. How much work is performed on the chain by the force of gravity as the chain falls from the point where 2.0 m remains on the scaffold to the point where the entire chain has left the scaffold? (Assume that the chain has a linear weight density of 24 N/m.)
814views - Textbook Question
Two forces, and , are applied on a moving object of mass 0.20 kg. The displacement vector of the object while the two forces act is . What is the work done by the two forces?
890views