Aspring is stretched 2 cm when a mass of 40 grams is hung from it what is the spring constant of the spring

20kg/ or 20N/m

Explanation:

Applying Hooke's law which states that the force (F) needed to compress or extend a spring is directly proportional to the length of the extension or compression (x) i.e

=> F x

=> F = k x   ---------------------- (i)

Where k is the constant of proportionality called spring constant.

And from the question, the force is equal to the weight (W) of the mass (object).

=> F = W   ----------------------- (ii)

where W = mg (mass x gravity)

Substituting W = mg into equation (ii) above, we have

F = mg

Substituting F = mg into equation (i) above, we have

mg = kx

Making k the subject of the formula, we have

k =   -------------------------------(iii)

Remember:

x is the extension = 2cm = 0.02m

m is the mass = 40g = 0.04kg

g is the acceleration due to gravity which we assume is 10m/

Substituting these values into equation (iii) above, we have

k =

k = 20kg/

Therefore the spring constant is k = 20kg/ or 20N/m

Note: kg/ and N/m are both valid units for spring constant.

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explanation: