What is Momentum and energy: Definition and 160 Discussions

In physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating total energy (which is also called relativistic energy) to invariant mass (which is also called rest mass) and momentum. It is the extension of mass–energy equivalence for bodies or systems with non-zero momentum. It can be written as the following equation:

This equation holds for a body or system, such as one or more particles, with total energy E, invariant mass m0, and momentum of magnitude p; the constant c is the speed of light. It assumes the special relativity case of flat spacetime. Total energy is the sum of rest energy and kinetic energy, while invariant mass is mass measured in a center-of-momentum frame.
For bodies or systems with zero momentum, it simplifies to the mass–energy equation



E
=

m

0



c

2




{\displaystyle E=m_{0}c^{2}}
, where total energy in this case is equal to rest energy (also written as E0).
The Dirac sea model, which was used to predict the existence of antimatter, is closely related to the energy–momentum relation.

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  1. T

    The odyssey of momentum and energy

    https://www.physicsforums.com/attachment.php?attachmentid=3184&stc=1SPEED SPEED OF WAGON1 =10 SPEED OF WAGON2=0 THE SAME WAGONS IMPACTED ELASTIC, AFTER THE COLLISION A LOCK CONJOINT THEM. ALL THE MOLECULES OF THE WAGONS HAVE SPEED 5(AFTER COLLISION-..).WE SIGNIFY A LOSS OF ENERGY SAYING THAT...
  2. K

    Conservation of momentum and energy

    Conservation of momentum and energy :D :frown: Wats this question on bout? 1. [HRW6 10.P.026.] In Fig. 10-32a, a 4.00 g bullet is fired horizontally at two blocks at rest on a frictionless tabletop. The bullet passes through the first block, with mass 1.20 kg, and embeds itself in the...
  3. U

    Potential & Kinetic Energy of Basketball & Tennis Ball

    a baskeball and a tennis ball are dropped from the same height simultaneously. The potential energy (PE) is mgh. m=mass(kg) g=9.8m/s/s h=height(m) after the ball hits the floor, the tennis ball flies off as the basket ball bounces. The inital velocity of the basketball after it bounces is...
  4. G

    Solving a Physics Problem: Momentum and Energy Conservation

    I'm going on 10 years since I got my (physics) degree, but I haven't done much work besides conceptual stuff in that time and it shows. :mad: Anyway, I decided to crack open my Modern Physics book from school and start working my way through it. The first few problems were OK, but I just...
  5. S

    Conservation of angular momentum and energy

    if you have a spinning body, and then its shape changes so that the moment of inertia changes, what happens? If angular velocity is conserved, since there's no net torque, then it spins a different speed, but the same direction. But then has the rotational kinetic energy changed? And if so...
  6. L

    Conservation of Momentum and Energy

    This one is giving me fits for some reason: A proton of mass m undergoes a head-on collision with a stationary carbon nucleus of mass 12m. The speed of the proton is 300 m/s. Find the velocity of the proton after the collision. Ok, I know that both momentum and energy are conserved. So...
  7. F

    Can Forces Act on an Object Without Doing Work?

    Should be fairly simple, but I'm not so great with physics. Here's a few I'm having trouble with... 1. Under what circumstances (if any) is no work done on a moving object even though a net force acts upon it? 2. What happens to the momentum of a car when it stops? 3. When the...
  8. ShawnD

    Momentum and energy disagreement

    A 30g bullet is fired horizontally into a 12kg block which is suspended on a long cord. What speed of bullet would cause the center of gravity of the block to rise 8cm? energy approach change of kinetic energy for bullet = change of potential for bullet and block \frac{1}{2}mv^2 = mgh...
  9. M

    Conservation of Momentum and Energy in an explosion

    We are doing Cons. of Momentum in my intro to physics class.. and I am stuck on this problem: An explosion breaks an object into two pieces, one of which has 1.58 times the mass of the other. If 7370 J were released in the explosion, how much kinetic energy did the heavier piece acquire...
  10. M

    Collision Problem using Conservation of Momentum and Energy

    Here's the Problem: A bullet of mass m=19.8 g is shot vertically upward into a block of wood of mass M=119 g that is initially at rest on a thin sheet of paper. The bullet passes through the block, which rises to a height of H=0.71m above its initial position before falling back down. The bullet...
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