Answer:
1 2 3 4 5
New force ( N ) 1.25 0.4166 48 175 150
Step-by-step 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