Force
... Practice Problem A golf ball travels at 16 m/s, while a baseball moves at 7 m/s. The mass of the golf ball is 0.045 kg and the mass of the baseball is 0.14 kg. Which has the greater momentum? Golf ball: 0.045 kg X 16 m/s = 0.72 kg•m/s Baseball: 0.14 kg X 7 m/s = 0.98 kg•m/s The baseball ha ...
... Practice Problem A golf ball travels at 16 m/s, while a baseball moves at 7 m/s. The mass of the golf ball is 0.045 kg and the mass of the baseball is 0.14 kg. Which has the greater momentum? Golf ball: 0.045 kg X 16 m/s = 0.72 kg•m/s Baseball: 0.14 kg X 7 m/s = 0.98 kg•m/s The baseball ha ...
AP® Physics B – Syllabus #2
... The AP class has run since it was first offered in 1994 and has evolved to include covering AP C topics and as of the fall of 2005 part of the University of Connecticut Early College Experience. Classes meet for forty two minutes, eight times a week for the entire school year. Students who elect to ...
... The AP class has run since it was first offered in 1994 and has evolved to include covering AP C topics and as of the fall of 2005 part of the University of Connecticut Early College Experience. Classes meet for forty two minutes, eight times a week for the entire school year. Students who elect to ...
Momentum and Collision
... strikes and pierces the center of a 6.8 kg target. What is the final velocity of the combined mass? What is the decrease in kinetic energy during the collision? A clay ball with a mass of 0.35 kg hits another 0.35 kg ball at rest, and the two stick together. The first ball has an initial speed of ...
... strikes and pierces the center of a 6.8 kg target. What is the final velocity of the combined mass? What is the decrease in kinetic energy during the collision? A clay ball with a mass of 0.35 kg hits another 0.35 kg ball at rest, and the two stick together. The first ball has an initial speed of ...
M1.4 Dynamics
... Two trucks A and B, moving in opposite directions on the same horizontal track, collide. The mass of A is 800 kg and the mass of B is m kg. Immediately before the collision the speed of A is 5 ms–1 and the speed of B is 4 ms–1. Immediately after the collision the trucks are joined together and move ...
... Two trucks A and B, moving in opposite directions on the same horizontal track, collide. The mass of A is 800 kg and the mass of B is m kg. Immediately before the collision the speed of A is 5 ms–1 and the speed of B is 4 ms–1. Immediately after the collision the trucks are joined together and move ...
Chapter 20_linear mo..
... This means that the vector sum of the momenta before collision is equal to the vector sum of the momenta of the particles afterwards. ...
... This means that the vector sum of the momenta before collision is equal to the vector sum of the momenta of the particles afterwards. ...
Slide 1
... system is affected by the gravitational pulls of all of the other planets. In 1846 the planet Neptune was discovered because 2 astronomers thought there must be a planet that was affecting the motion of Uranus (Neptune’s neighboring planet). Their hypothesis was based on Newton’s universal law of gr ...
... system is affected by the gravitational pulls of all of the other planets. In 1846 the planet Neptune was discovered because 2 astronomers thought there must be a planet that was affecting the motion of Uranus (Neptune’s neighboring planet). Their hypothesis was based on Newton’s universal law of gr ...
Document
... Every particle on the disc undergoes circular motion about the origin, O Polar coordinates (koordinat kutub) are convenient to use to represent the position of P (or any other point) P is located at (r, q) where r is the distance from the origin to P and q is the measured counterclockwise from the r ...
... Every particle on the disc undergoes circular motion about the origin, O Polar coordinates (koordinat kutub) are convenient to use to represent the position of P (or any other point) P is located at (r, q) where r is the distance from the origin to P and q is the measured counterclockwise from the r ...
Lec12
... linear momentum L and the angular momentum Ho of the system are conserved. In problems involving central forces, the angular momentum of the system about the center of force O will also be conserved. ...
... linear momentum L and the angular momentum Ho of the system are conserved. In problems involving central forces, the angular momentum of the system about the center of force O will also be conserved. ...
Slide 1
... • Stand beside your desk. Hold a sheet of notebook paper level at eye level. Release the sheet of paper and watch it fall. Describe the motion of the paper. • Hold a sheet of notebook paper that has been crumpled into a tight ball at eye level. Release the crumpled paper and watch it fall. Describe ...
... • Stand beside your desk. Hold a sheet of notebook paper level at eye level. Release the sheet of paper and watch it fall. Describe the motion of the paper. • Hold a sheet of notebook paper that has been crumpled into a tight ball at eye level. Release the crumpled paper and watch it fall. Describe ...
Relativistic angular momentum
""Angular momentum tensor"" redirects to here.In physics, relativistic angular momentum refers to the mathematical formalisms and physical concepts that define angular momentum in special relativity (SR) and general relativity (GR). The relativistic quantity is subtly different from the three-dimensional quantity in classical mechanics.Angular momentum is a dynamical quantity derived from position and momentum, and is important; angular momentum is a measure of an object's ""amount of rotational motion"" and resistance to stop rotating. Also, in the same way momentum conservation corresponds to translational symmetry, angular momentum conservation corresponds to rotational symmetry – the connection between symmetries and conservation laws is made by Noether's theorem. While these concepts were originally discovered in classical mechanics – they are also true and significant in special and general relativity. In terms of abstract algebra; the invariance of angular momentum, four-momentum, and other symmetries in spacetime, are described by the Poincaré group and Lorentz group.Physical quantities which remain separate in classical physics are naturally combined in SR and GR by enforcing the postulates of relativity, an appealing characteristic. Most notably; space and time coordinates combine into the four-position, and energy and momentum combine into the four-momentum. These four-vectors depend on the frame of reference used, and change under Lorentz transformations to other inertial frames or accelerated frames.Relativistic angular momentum is less obvious. The classical definition of angular momentum is the cross product of position x with momentum p to obtain a pseudovector x×p, or alternatively as the exterior product to obtain a second order antisymmetric tensor x∧p. What does this combine with, if anything? There is another vector quantity not often discussed – it is the time-varying moment of mass (not the moment of inertia) related to the boost of the centre of mass of the system, and this combines with the classical angular momentum to form an antisymmetric tensor of second order. For rotating mass–energy distributions (such as gyroscopes, planets, stars, and black holes) instead of point-like particles, the angular momentum tensor is expressed in terms of the stress–energy tensor of the rotating object.In special relativity alone, in the rest frame of a spinning object; there is an intrinsic angular momentum analogous to the ""spin"" in quantum mechanics and relativistic quantum mechanics, although for an extended body rather than a point particle. In relativistic quantum mechanics, elementary particles have spin and this is an additional contribution to the orbital angular momentum operator, yielding the total angular momentum tensor operator. In any case, the intrinsic ""spin"" addition to the orbital angular momentum of an object can be expressed in terms of the Pauli–Lubanski pseudovector.