Question

The distance a spring stretches varies directly as the amount of weight that is hanging on it. A weight of 2.5 pounds stretches a spring 18 inches. Find the stretch of the spring when a weight of 6.4 pounds is hanging on it.

Answer 1

we use the equation y = kx
y = 18, x = 2.5

18 = k2.5
k = 7.2

x = 6.4
y = 7.2*6.4
y = 46.08

hope this help

Answer 2

The stretch of the spring is 46.08 inches.

Step-by-step explanation:

Given that,

Weight = 2.5 pounds

Stretches a spring = 18 inches

new weight = 6.4

We need to calculate the stretch of the spring

let stretch of the spring is x .

Using formula of restoring force

`F=-kx`

For first weight,

`2.5=k*18`....(I)

For another weight,

`6.4=k* x`....(II)

Ratio of equation (I) and (II)

`(2.5)/(6.4)=(18)/(x)`

`x=(18*6.4)/(2.5)`

`x = 46.08\ inches`

Hence, The stretch of the spring is 46.08 inches.