If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm

Step-by-step explanation:

 This problem is borers on elasticity of materials.

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

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= =

we can solve for the spring constant k

we also know that the force F = mg

assuming

therefore

We can use this value of k to solve for the mass that will cause an extension of  

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