A250 g object is hung onto a spring. it stretches 18 cm. find the spring's spring constant

Hooke's law establishes that the elongation of a spring is directly proportional to the modulus of the force applied to it, as long as the spring is not permanently deformed:

   (1)

Where:

is the elastic constant of the spring. The higher its value, the more work it will cost to stretch the spring.

is the length of the spring without applying force.

is the length of the spring with the force applied.

According to this, we have a spring where only the force due gravity is applied.

In other words, the force applied is the weigth of the block:

  (2)

Where is the mass of the block and  is the gravity acceleration.

  (3)

  (4)

Knowing the force applied and and , we can substitute the values in equation (1) and find :

   (5)

   (6)

Finally:

explanation:

specific heat is the amount of heat required to raise the temperature of a unit mass of a substance.

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explanation: