Calculating the loss in mechanical energy due to a collision

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The discussion focuses on calculating the loss in mechanical energy during a collision involving a ballistic pendulum system, where a bullet weighing 0.005 kg strikes a wooden block weighing 1.00 kg, resulting in a height increase of 0.05 m. The bullet's speed is calculated to be 199 m/s using conservation of momentum and energy principles. To determine the loss in mechanical energy, one must calculate the total energy before and after the collision. The energy before the collision is derived from the bullet's kinetic energy, while the energy after is based on the potential energy gained by the block. The calculated loss in mechanical energy is 98.5 Joules.
NRasmus1
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Ballistic Pendulum system. Bullet weighs .00500kg and the wooden block it hits weighs 1.00kg. The increase in height is .05m. Using conservation of momentum and conservation of energy I have calculated the bullets speed at 199m/s. How can I calculate the loss in mechanical energy as a result of the collision?

The answer is 98.5 Joules. I have no idea where to start.
 
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