Answer :

It will hit the ground at 1cm


Given


The block of mass 100g is given compressing the spring of about 5 cm. The spring constant is given as 100N/m. The height of the spring is 2 cm.


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”, v is the velocity of the block.


Explanation


The stored spring compression energy is calculated as




After the expansion of the spring, the compression energy turns into kinetic energy.





Now applying the formula of kinematic to calculate the time taken for the block to touch the ground





Hence, the horizontal distance covered by the block is




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