Question

Ребята решите пожайлуста, как можно быстрей! Внешнее электрическое поле совершает работу 0,26 МэВ по ускорению электрона. С какой скоро­стью будет двигаться электрон, если его началь­ная скорость 0,5с?

Answer 1

решай по формулам: 

A + m1*c^2 = m2*c^2

A + (m0*c^2)/(1 - (v1/c)^2)^0,5 = (m0*c^2)/(1 - (v2/c)^2)^0,5

1/((1 - (v2/c)^2)^0,5) = A/(m0*c^2) + 1/((1 - (v1/c)^2)^0,5)

A = 0,26*(10^6)*1,6*10^-19

m0 = 9,1*10^-31

c = 3*10^8

v1 = 0,5*c

Answer 2

Calculation of Electron's Final Velocity

To determine the final velocity of the electron, we need to consider the work done by the external electric field on the electron and its initial velocity.

Given: - Work done by the external electric field = 0.26 MeV - Initial velocity of the electron = 0.5c (where c is the speed of light)

To find the final velocity, we can use the principle of conservation of energy. The work done by the electric field is equal to the change in kinetic energy of the electron.

The work-energy principle states that the work done on an object is equal to the change in its kinetic energy. Mathematically, it can be expressed as:

Work done = Change in kinetic energy

The kinetic energy of an object can be calculated using the formula:

Kinetic energy = (1/2) * mass * velocity^2

Since the mass of the electron is very small compared to other objects, we can neglect it in this calculation.

Let's calculate the change in kinetic energy:

Change in kinetic energy = Final kinetic energy - Initial kinetic energy

Since the mass is negligible, we can rewrite the equation as:

Change in kinetic energy = (1/2) * (Final velocity^2 - Initial velocity^2)

Now, equating the work done by the electric field to the change in kinetic energy, we have:

0.26 MeV = (1/2) * (Final velocity^2 - (0.5c)^2)

To solve for the final velocity, we need to convert the energy units from MeV to joules and the velocity units from the speed of light to meters per second.

1 MeV = 1.6 x 10^-13 joules 1 c = 3 x 10^8 m/s

Substituting the values and solving the equation will give us the final velocity of the electron.

Please note that the provided search snippets do not contain the specific information required to directly answer this question. However, the calculation method described above is a standard approach based on the principles of conservation of energy and kinetic energy.