(a)How much work is done by the field in moving the electron through a distance of 7 cm?

J
(b) Through what potential difference will it have passed after moving through this distance?
V
(c) How fast will the electron be moving after it has traveled this distance?
m/s

There is not enough information here.

Suppose an electron is released from rest in a uniform electric field whose magnitude is 4.70 103 N/C.

(a)How much work is done by the field in moving the electron through a distance of 7 cm?
J
(b) Through what potential difference will it have passed after moving through this distance?
V
(c) How fast will the electron be moving after it has traveled this distance?
m/s

E = 4.7*10^3 N/C

Force = Q E = 1.6*10^-19 * 4.7*10^3

work = force * distance = Force*.07 meters

potential difference = E*distance

(1/2) m v^2 = charge * potential difference, m = 9.1*10^-31 kg

To find the answers to these questions, we need to use the formulas and concepts related to electric fields and work done.

(a) The work done by the electric field in moving an electron can be found using the equation:

Work = Force x Distance

However, the force experienced by an electron in an electric field is given by the equation:

Force = charge x electric field strength

The charge of an electron is known to be negative and equal to -1.6 x 10^-19 Coulombs. The electric field strength can be determined based on the given information or the context of the problem.

Once we have the force, we can calculate the work done by multiplying it by the distance the electron is moved through. In this case, the distance is given as 7 cm, which needs to be converted to meters (1 cm = 0.01 m).

(b) The potential difference (V) can be calculated using the equation:

Potential difference = Work / Charge

We already calculated the work done in part (a) above. The charge of the electron (-1.6 x 10^-19 Coulombs) is also given.

(c) To find the speed of the electron after traveling the given distance, we can use the equation:

Kinetic energy = 0.5 x mass x velocity^2

The mass of an electron is approximately 9.1 x 10^-31 kg. The velocity is what we need to find.

To determine the velocity, we can equate the kinetic energy to the work done by the electric field:

0.5 x mass x velocity^2 = Work

Solving for velocity, we can find the speed of the electron after traveling the given distance.

It's important to note that the answers to these questions depend on the specific values provided for the electric field strength, or other relevant data, which are not given in the question.