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 16 m by a suspended
weight of 96 N. The acceleration of gravity is
9.8 m/s^2
Answer in units of N/m.

Explanation:

Force Constant of a Spring

The force F applied to a spring produces a stretching distance x. These variables are linearly related as expressed by Hook's law:

If we could measure the distance a spring stretches when applying a known force, we'd be able to find the value of K. The experiment stated in the question places some mass of a known weight of 96 N that produced a stretching distance of 16 m. Knowing both variables, we can solve the above equation for K

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answer: option c.

explanation: