an atomic nucleus with a rest mass energy of 8,875 mev is accelerated to 99.159% the speed of light relative to the lab frame. what is the kinetic energy in mev of the atomic nucleus in the lab frame? assume 4 significant figures.

Respuesta :

The kinetic energy in MeV of the atomic nucleus in the lab frame is 78448.67 MeV.

Kinetic energy is the power an object has because of its motion. If we want to boost up an object, then we must follow a force. making use of force requires us to do paintings. After work has been accomplished, energy has been transferred to the object, and the object might be moving with a new consistent speed.

Calculation:-

E₀ ( rest energy) = 8875  Mev

u (speed)  = 0.99159

Then,

The energy of e⁻ move in the cab frame = rest energy + kinetic energy

So,

E₀ + (1/√1 - v²/c²)E₀

Then,

   

K.E = E₀/√1 - v²/c²

So, we put all the values in the above eq:-

K.E = 8875/√(0.0127987)²

K.E = 8875/ 0.1131313

K.E = 78448.67 MeV

The kinetic energy of an item is the electricity that it possesses because of its motion. it is defined because the work needed to boost up a frame of a given mass from relaxation to its stated pace. Having gained this energy for the duration of its acceleration, the frame maintains this kinetic electricity except for its pace changes.

Potential energy saved energy that relies upon the relative position of numerous components of a gadget. A spring has greater potential energy when it is compressed or stretched. A steel ball has extra capability strength raised above the ground than it has after falling to Earth.

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