Bouncing Balls and Rising Temperatures

Classical Mechanics Level 4

A steel ball is dropped from a height of 1m to a horizontal non-conducting surface. Every time it bounces, it reaches 80% of its previous height. Nearly by how much will the temperature of the ball rise after 4 bounces?

Details and Assumptions

  1. Specific heat capacity of the ball is \(0.1 \text{cal/g C} \).

  2. Neglect loss in heat to the surroundings and the floor.


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