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.

Solution and Explanation:

here, as per the given data

the weight suspended from the spring, W is equals to 98 N

the compression of spring, d is equals to 51 m

now, let the spring constant be K

Now, equating the forces vertically

K multiply with d is equals to W

K multiply with 51 is equals to 98

Now, we have to solve for K

K = 1.92 N/m

Therefore, the spring constant is 1.92 N/m