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- https://phys.libretexts.org/Courses/Merrimack_College/Conservation_Laws_Newton's_Laws_and_Kinematics_version_2.0/25%3A_Thermodynamics/25.06%3A_ExamplesSuppose you drop a block of aluminum of mass 1 kg at a temperature of 80∘C in a liter of water (which also has a mass of 1 kg) at a temperature of 20∘C. The thermal energy given ...Suppose you drop a block of aluminum of mass 1 kg at a temperature of 80∘C in a liter of water (which also has a mass of 1 kg) at a temperature of 20∘C. The thermal energy given off by the aluminum equals ΔEAl=CAl(Tf−TAl) (this follows from the definition (13.2.1) of heat capacity; we could equally well call this quantity “the heat given off by the aluminum”).
- https://phys.libretexts.org/Courses/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/08%3A_C8)_Conservation_of_Energy-_Kinetic_and_Gravitational/8.04%3A_Conservation_of_Energywhere K is the total, macroscopic, kinetic energy; U the sum of all the applicable potential energies associated with the system’s internal interactions; Esource is any kind of internal...where K is the total, macroscopic, kinetic energy; U the sum of all the applicable potential energies associated with the system’s internal interactions; Esource is any kind of internal energy (such as chemical energy) that is not described by a potential energy function, but can increase the system’s mechanical energy; and Ediss stands for the contents of the “dissipated energy reservoir”—typically thermal energy.
- https://phys.libretexts.org/Courses/Merrimack_College/Conservation_Laws_Newton's_Laws_and_Kinematics_version_2.0/07%3A_C7)_Conservation_of_Angular_Momentum_II/7.03%3A_ExamplesIf the ball is rolling along the ground without slipping, what is the angular momentum of the ball about its center of mass? When the ball passes through Puyol's legs, what is the angular momentum of ...If the ball is rolling along the ground without slipping, what is the angular momentum of the ball about its center of mass? When the ball passes through Puyol's legs, what is the angular momentum of the center of mass of the ball relative to his head? The angle between →F2 and →r is 90° and the cross product is into the page so the torque is negative. What is the torque about the point of contact of the ship with the ground (Figure \PageIndex6)?
- https://phys.libretexts.org/Courses/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/24%3A_Simple_Harmonic_MotionThumbnail: A picture of the first Tacoma Narrows Bridge. The 1940 Tacoma Narrows Bridge, the first Tacoma Narrows Bridge, was a suspension bridge in the U.S. state of Washington that spanned the Tacom...Thumbnail: A picture of the first Tacoma Narrows Bridge. The 1940 Tacoma Narrows Bridge, the first Tacoma Narrows Bridge, was a suspension bridge in the U.S. state of Washington that spanned the Tacoma Narrows strait of Puget Sound between Tacoma and the Kitsap Peninsula. It dramatically collapsed into Puget Sound on November 7 of the same year.
- https://phys.libretexts.org/Courses/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/24%3A_Simple_Harmonic_Motion/24.01%3A_Introduction-_The_Physics_of_OscillationsOnce this happens, the restoring force changes direction, always trying to bring the mass back to equilibrium; as a result, the bob slows down, and eventually reverses course, accelerates again toward...Once this happens, the restoring force changes direction, always trying to bring the mass back to equilibrium; as a result, the bob slows down, and eventually reverses course, accelerates again towards the vertical, overshoots it again... the process will repeat itself, until all the energy we initially put in the system (gravitational potential energy, in this case) is dissipated away (or damped), mostly through friction at the pivot point, though air resistance plays a small part as well.
- https://phys.libretexts.org/Courses/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/14%3A_C14)_Collisions/14.02%3A_ExamplesIf the first ball leaves the collision at an angle of 30∘ with respect to the original direction of motion, what angle does the second ball leave the collision at? Assuming the total mass of ...If the first ball leaves the collision at an angle of 30∘ with respect to the original direction of motion, what angle does the second ball leave the collision at? Assuming the total mass of you and your personal rocket is 1500 kg, and you get stuck in the space-goo when you collide, what is the magnitude and direction of your final velocity after the collision?
- https://phys.libretexts.org/Courses/Merrimack_College/Conservation_Laws_Newton's_Laws_and_Kinematics_version_2.0/08%3A_C8)_Conservation_of_Energy-_Kinetic_and_Gravitational/8.06%3A_ExamplesWe also have three velocities to worry about (or, more properly in this case, speeds, since their direction is of no concern, as long as they all point the way they are supposed to): Tarzan’s initial ...We also have three velocities to worry about (or, more properly in this case, speeds, since their direction is of no concern, as long as they all point the way they are supposed to): Tarzan’s initial velocity at the beginning of the swing, which we may call vtop; his velocity at the bottom of the swing, just before he grabs the explorer, which we may call vbot1, and his velocity just after he grabs the explorer, which we may call vbot2. (If you find those subscripts confusi…
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_I_-_Classical_Mechanics_(Gea-Banacloche)/02%3A_Acceleration
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_I_-_Classical_Mechanics_(Gea-Banacloche)/09%3A_Rotational_Dynamics/9.07%3A_In_SummaryThe torque, →τ, of a force about a point O is defined as τ=→r×→F, where →r is the position vector of the point of application of the force relative to the o...The torque, →τ, of a force about a point O is defined as τ=→r×→F, where →r is the position vector of the point of application of the force relative to the origin O. The rate of change of a system’s angular momentum about a point O is equal to the sum of the torques, about that same point, of all the external forces acting on the system: ∑→τext=d→Lsys/dt.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_I_-_Classical_Mechanics_(Gea-Banacloche)/08%3A_Motion_in_Two_Dimensions/8.01%3A_Dealing_with_Forces_in_Two_DimensionsNote, however, that in general this angle θ may not be one of the interior angles of the triangle (as shown on the right diagram in Figure \PageIndex1), and that in that case it may jus...Note, however, that in general this angle θ may not be one of the interior angles of the triangle (as shown on the right diagram in Figure \PageIndex1), and that in that case it may just be simpler to calculate the magnitude of the components using trigonometry and an interior angle (such as 180∘−θ in the example), and give them the appropriate signs “by hand.” In the example on the right, the length of the horizontal side of the triangle is equal to \( |\vec{F}…
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_I_-_Classical_Mechanics_(Gea-Banacloche)This is a textbook for the first semester of University Physics for scientists and engineers. It covers classical mechanics, and a brief introduction to thermodynamics. The presentation and approach a...This is a textbook for the first semester of University Physics for scientists and engineers. It covers classical mechanics, and a brief introduction to thermodynamics. The presentation and approach are similar to Mazur’s “The Principles and Practice of Physics,” in that conservation laws are introduced before forces, and one-dimensional systems thoroughly covered before moving to two dimensions.
