Question

100 POINTS!!! PLEASE HELP! There are four springs stretched by the same mass. Spring A stretches 25 cm. Spring B stretches 10 cm. Spring C stretches 100 cm. Spring D stretches 1 cm. Which spring has the smallest spring constant?
A
B
C
D

Answer 1

Spring C) has the smallest spring constant

Explanation:

The spring constant of a spring can be determined by using Hooke's law:

$F=kx$ (1)

where

F is the force applied on the spring

k is the spring constant

x is the stretching/compression of the spring

When a mass hangs on a spring, the force applied is equal to the weight of the mass, so:

$F=mg$

where m is the mass of the object and g is the acceleration of gravity. Substituting into (1) and re-arranging for k, we get:

$mg=kx\\k=\frac{mg}{x}$

Therefore we see that for the same mass, the spring constant is inversely proportional to the stretching of the spring.

In this experiment, we have four springs stretched by the same mass, and their stretchings are:

A) 25 cm

B) 10 cm

C) 100 cm

D) 1 cm

As we said above, the spring constant is inversely proportional to the stretching of the spring: therefore, the spring with the smallest constant is the one with greatest stretching, so spring C).

#LearnwithBrainly

Answer 2

Answer:

The smallest spring would be answer D!

Explanation:

Cause u also said, " Which spring has the smallest spring constant ", which obsesses gives me the answer.