Answer :

The height of the block rising is 20 cm

Given

The mass of the block is given as 250 g or 0.250 kg, is placed on a spring constant of 100N/m. The spring’s compressed force is given as 10 cm along with the gravity due to acceleration as g = 10 m/s^{2}.

Formula Used

Using the conversation of energy, we equate the energies of spring compression and potential energy of the mass of the block, the formula of the energy stored in spring compression is

And the energy stored in the block is formulated as

where

The value of spring constant is denoted as “k”, the compression distance is “x”, the mass of the block is given as “m”, the gravity of the block is “g” and the height at which the block is kept is h.

Explanation

Applying the conservation of the mass, between mass of block and spring compression we get the height as:

The equation is as follows:

Placing the values, we get

Therefore, the height is 20 cm

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