Horizontal pinball

A ball of mass 2 kg2 \text{ kg} is placed in front of a spring having constant 20 N/m20 \text{ N/m} and compression 20 m20 \text{ m} at a height of 100 m100 \text{ m} above the ground.

Now, the spring is released, giving the ball a horizontal velocity.

Find the total displacement (in meters) of the ball from the spring when it hits the ground.

Details and Assumptions:

  • The ball does not rebound after hitting the ground first.
  • Air friction is negligible.
  • The spring is 100% efficient.
  • Take g=10 m/s2g=10 {\text{ m/s}}^2 as the acceleration due to gravity.
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