Question

Solve for the missing values using the inverse square

Answer 1

Answer:

                                     1             2               3          4            5

 New force ( N )           1.25      0.4166      48      175         150

Explanation:

We know that ,

Force ( f ) ∝ distance ( d )

1 )

initial distance =40 m

initial force = 5 N

F ∝ d

F = k d     ( k = proportionality constant )

5 = k * 40

k = (1/8)

new distance = 10 m

new force = ( 1/8 ) * 10 = 1.25 N

2)

d = 72 m

F = 2.5 N

k = 2.5/72

new distance = 12 m

new force = ( 2.5/72 ) * 12 = 0.4166 N

3)

d = 12 m

F = 8 N

k = 2/3

new distance = 72 m

new force = ( 2/3 ) *72 =  48 N

4 )

d = 6 m

F = 25 N

k = 25/6

new distance = 42 m

new force = ( 25/6)*42  = 175 N

5)

d = 10 m

F = 50 N

k = 5

new distance = 30 m

new force = 5 * 30 = 150 N