Aforce of magnitude f stretches a spring a distance of 2 cm from its rest position. what magnitude of force will stretch the spring an additional 4 cm?

4f

2f

3f

0.5f

3F

Step-by-step explanation:

Force = k * x

so k = force/distance = F/2

if you were to duplicate the distance 2 times more, the F must also do so so that it's proportional

so F*2 = 2F but since it says additional 4cm, you will need to add the initial one and this one so that it's 6cm in total.

2F + F = 3F

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1