A spring of spring constant k=12.5N/m is hung vertically. a 0.500kg mass is then suspended from the spring. what is the displacement of the end of the spring due to the wieght of the 0.500 kg mass?

The displacement of one end of the spring due to weight = 0.4 m.

Explanation:

Given :

Spring constant

Mass

From the hooke's law,

Force is proportional to the negative of the displacement.

  ∝

Where minus sign represent that, the force is always directed toward mean position.

Now one force is gravity acts as a downward. so we write,

Here we take only magnitude.

Where displacement of one end of spring,

    m

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.