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- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/04%3A_Momentum/4.08%3A_Elastic_Collisions_in_the_COM_FrameWe did the calculation in the lab frame, i.e., from the point of view of a stationary observer. We could of course just as well have done the calculation in the center-of-mass (COM) frame of Section ...We did the calculation in the lab frame, i.e., from the point of view of a stationary observer. We could of course just as well have done the calculation in the center-of-mass (COM) frame of Section 4.3. Within that frame, as we’ll see below, the relation between the initial and final velocities in an elastic collision is much simpler than in the lab frame.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/14%3A_Resources_Tools_and_Additional_Information/14.02%3A_Some_Equations_and_Constants\end{array}\right)=\left(\frac{\partial f}{\partial x} \hat{x}+\frac{\partial f}{\partial y} \hat{y}+\frac{\partial f}{\partial z} \hat{z}\right)\] \end{array}\right)=\frac{\partial v_{x}}{\partial x}...\end{array}\right)=\left(\frac{\partial f}{\partial x} \hat{x}+\frac{\partial f}{\partial y} \hat{y}+\frac{\partial f}{\partial z} \hat{z}\right)\] \end{array}\right)=\frac{\partial v_{x}}{\partial x}+\frac{\partial v_{y}}{\partial y}+\frac{\partial v_{z}}{\partial z}\] v_{x}=\frac{u+v_{x}^{\prime}}{1+u v_{x}^{\prime} / c^{2}} \quad \text { (longitudinal) } , v_{y}=\frac{1}{\gamma(u)} \frac{v_{y}^{\prime}}{1+u v_{x}^{\prime} / c^{2}} \quad \text { (transversal) }
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/14%3A_Relativistic_Collisions/14.E%3A_Relativistic_Collisions_(Exercises)Find the speeds and the angles of the pions in the lab frame if, in the rest frame of the kaon, they are emitted in opposite directions, whose line makes an angle of 90^{o} with the propagation di...Find the speeds and the angles of the pions in the lab frame if, in the rest frame of the kaon, they are emitted in opposite directions, whose line makes an angle of 90^{o} with the propagation direction of the kaon?
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/02%3A_Forces/2.E%3A_Forces_(Exercises)Draw the wheels as circles, and approximate the shape of the dragster body as a triangle with a horizontal line between the wheels, a vertical line going up from the rear axis, and a diagonal line con...Draw the wheels as circles, and approximate the shape of the dragster body as a triangle with a horizontal line between the wheels, a vertical line going up from the rear axis, and a diagonal line connecting the top to the front wheels.
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/04%3A_Momentum
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/06%3A_General_Planar_Motion/6.E%3A_General_Planar_Motion_(Exercises)Show that you can re-write the equation of motion for the separation between the two objects as \boldsymbol{F(r )} = \mu \boldsymbol{\ddot{r}}, where \mu is the reduced mass that we also encou...Show that you can re-write the equation of motion for the separation between the two objects as \boldsymbol{F(r )} = \mu \boldsymbol{\ddot{r}}, where \mu is the reduced mass that we also encountered when studying collisions in the center of mass frame, Equation 4.8.7, given by \mu=\frac{m M}{m+M} Note that solving the final equation for the separation \boldsymbol{r} is entirely equivalent to solving the equation of motion of a single particle under the action of a central force,…
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/02%3A_ForcesThumbnail: www.pexels.com/photo/egg-power-fear-hammer-40721/
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/13%3A_Position_Energy_and_Momentum_in_Special_Relativity/13.04%3A_Relativistic_EnergyThe relativistic energy of the particle is an energy contribution due to the mass of the particle.
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/02%3A_Forces/2.05%3A_StaticsWhen multiple forces act on a body, the (vector) sum of those forces gives the net force, which is the force we substitute in Newton’s second law of motion to get the equation of motion of the body. I...When multiple forces act on a body, the (vector) sum of those forces gives the net force, which is the force we substitute in Newton’s second law of motion to get the equation of motion of the body. If all forces sum up to zero, there will be no acceleration, and the body retains whatever velocity it had before. Statics is the study of objects that are neither currently moving nor experiencing a net force, and thus remain stationary.
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/11%3A_Lorentz_Transformations
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/10%3A_Einstein's_Postulates/10.01%3A_An_Old_and_a_New_AxiomThe theory of special relativity is built on two postulates (our axioms for this chapter). The first one also applies to classical mechanics and simply states that: (1) The laws of physics are identic...The theory of special relativity is built on two postulates (our axioms for this chapter). The first one also applies to classical mechanics and simply states that: (1) The laws of physics are identical in every inertial reference frame and (2) The speed of light in vacuum is the same in all inertial reference frames.
