A 5.00 kg mass is placed on top of a vertical spring, which compresses a distance of 3.13 cm. Calculate the force constant (in N/m) of the spring

Explanation:

Step one:

given data

mass m=5kg

compression x= 3.13cm to m= 0.0313m

According to Hooke's law, provided the elastic limit of an elastic material is not exceeded the extension e is directly proportional to the applied force

F=ke

where

k= spring constant in N/m

e= extension/compression in

Step two:

assume g= 9.81m/s^2

F=mg

F=5*9.81

F=49.05N

substitute in the expression F=ke

49.05=k*0.0313

k=49.05/0.0313

k=1567.09 N/m

The force constant (in N/m) of the spring is 1567.09 N/m

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