A charge of 28.0 is placed in a uniform electric field that is directed vertically upward and that has a magnitude of 4.00×104 . What work is done by the electric force when the charge moves
You need to provide units for the charge and the E-field. I assume they are Coulombs and Volts/meter, but unless you say what they are, you have not asked a proper physics question.
The work done on the charge will depend upon how far it moves.
I am so sorry my computer didn't transfer it
28nC
4.00*10^4N/C
.550m to the right
The force on the particle is
E*q = 4*10^4 N/C * 28*10^-9 C.
Multiply that by 0.550 m for the work done, in Joules.
(Volts/meter and Newtons/Coulomb are equivalent units)
thnak you! Can you please help me with this one as well? Its the same problem:
2.40 at an angle of 45.0 downward from the horizontal?
sorry again my computer..2.4m
The work done will equal the force times the distance moved vertically (in the direction of the E field). You answer will contain a sin 45 = 0.707 factor.
The force will be up and you are moving the charge down, so potential energy will increase as work is done on the charge.
To find the work done by the electric force when the charge moves, we can use the formula:
Work = Force × Distance × cos(θ)
Where:
- Force is the magnitude of the electric force acting on the charge
- Distance is the distance the charge moves
- θ is the angle between the direction of the force and the direction of motion
Given:
- Charge (q) = 28.0 C
- Electric field (E) = 4.00 × 10^4 N/C
- The charge is moving vertically upward, and the electric field is also directed vertically upward, so the angle (θ) between them is 0°.
First, we need to find the magnitude of the force (F) acting on the charge using the formula:
Force (F) = Charge (q) × Electric Field (E)
F = 28.0 × 4.00 × 10^4 = 1.12 × 10^6 N
Since the angle (θ) between the force and motion is 0° (cos(0°) = 1), we don't need to consider the angle in this case.
Next, we need to find the distance (d) the charge moves. However, the question does not provide this information. Without the distance, we cannot calculate the work done.
Therefore, to determine the work done by the electric force, we need to know the distance the charge moved while under the influence of the electric field.