F is inversely proportional to d^2. When F = 14, d = 5 Work out d
(positive value rounded to 2 DP) when F = 3

d ≈ 10.80

Step-by-step explanation:

Given F is inversely proportional to d² then the equation relating them is

F = ← k is the constant of variation

To find k use the condition F = 14, d = 5 , then

14 = = ( multiply both sides by 25 )

350 = k

F = ← equation of variation

when F = 3 , then

3 = ( multiply both sides by d² )

3d² = 350 ( divide both sides by 3 )

d² = ( take square root of both sides )

d = ≈ 10.80 ( positive value to 2 dec. places )

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form