Question

A common technique used to measure the

force constant k of a spring is the following:
Hang the spring vertically, then allow a
mass m to stretch it a distance d from the
equilibrium position under the action of the
“load” m g.

Find the spring constant k if the spring
is stretched a distance 87 m by a suspended
weight of 69 N. The acceleration of gravity is
9.8 m/s^2.
Answer in units of N/m.

Answer 1

The answer to your problem is, the spring constant K should be 6 N/m.

Step-by-step explanation:

When the force F should be applied at the spring so it generated the stretching distance

i.e.

F = k.x

F means the force

K means the constant

x means the stretching distance

Here the weight should be 96 N, the stretching distance is 16 km

Now the spring constant should be:

K = f/x

= 96/16

= 6 N/m

Thus the answer to your problem is, the spring constant K should be 6 N/m.