Question

A weight hangs motionless from a spring, with a spring constant of 75 N/m. The spring stretched from its original length by 0.333 meters. How much weight hangs from the spring?35 N45 N15 N25 N

Answer 1

25 N

Step-by-step explanation

Given:

• The spring constant, k = 75 N/m

,

• The distance the spring is stretched, x = 0.333 m

Find:

• The ,weight, that hangs from the spring, Fg

If we draw a free-body diagram for this situation, we can see that the forces acting on the mass hanging from the spring are the spring force and its weight,

If the weight hangs motionless, it means that it is in equilibrium and the two forces are equal and opposite,

`F_s=F_g`

So the weight is equal to the spring force,

`F_g=k\cdot x=75N/m\cdot0.333m\approx25N`

Hence, the weight is 25 N.