Question #102997

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 82 m by a suspended

weight of 64 N. The acceleration of gravity is

9.8 m/s2. Answer in units of N/m.

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 82 m by a suspended

weight of 64 N. The acceleration of gravity is

9.8 m/s2. Answer in units of N/m.

Expert's answer

For the equilibrium:

"k=\\frac{W}{x}=\\frac{64}{82}=0.78\\frac{N}{m}"

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