I thought it was:
Kinetic energy of rigid bodies
In
classical mechanics, the kinetic energy of a
point object (an object so small that its mass can be assumed to exist at one point), or a non-rotating
rigid body, is given by the equation
where
is the mass and
is the speed of the body. In
SI units (used for most modern scientific work), mass is measured in
kilograms, speed in
metres per
second, and the resulting kinetic energy is in
joules.
For example, one would calculate the kinetic energy of an 80 kg mass traveling at 18 meters per second (40 mph) as
Note that the kinetic energy increases with the square of the speed. This means, for example, that an object traveling twice as fast will have four times as much kinetic energy. As a result of this, a car traveling twice as fast requires four times as much distance to stop (assuming a constant braking force. See
mechanical work).
The kinetic energy of an object is related to its
momentum by the equation:
where:
is momentum
is mass of the body For the
translational kinetic energy, that is the kinetic energy associated with rectilinear motion, of a body with constant
mass
, whose
center of mass is moving in a straight line with speed
, as seen above is equal to
where:
is mass of the body
is speed of the
center of mass of the body. The kinetic energy of any entity is unique to the reference frame in which it is measured. An isolated system is one for which energy can neither enter nor leave, and has a total energy which is unchanging over time as measured in any reference frame. Thus, the chemical energy converted to kinetic energy by a rocket engine will be divided differently between the rocket ship and its exhaust stream depending upon the chosen reference frame. This is called the
Oberth effect. But the total energy of the system (including kinetic energy, fuel chemical energy, heat energy, etc) will be conserved over time, regardless of the choice of reference frame. However, different observers moving with different reference frames will disagree on the value of this conserved energy.
In addition, although the energy of such systems is dependent on the choice of reference frame, the minimal total energy which is seen in any frame will be the total energy seen by observers in the
center of momentum frame; this minimal energy corresponds to the
invariant mass of the aggregate. The calculated value of this invariant mass compensates for changing energy in different frames, and is thus the same for all frames and observers.
Or is that what you said??