Projectile question involving Law of Conservation of Energy

AI Thread Summary
The discussion focuses on applying the Law of Conservation of Energy to a projectile problem involving a 0.500 kg particle shot from a height of 60 m. The particle's initial horizontal velocity is 30.0 m/s, and it reaches a maximum height of 20.0 m above its starting point. Participants emphasize using the principle that the loss in potential energy (PE) equals the gain in kinetic energy (KE) to find the vertical component of the initial velocity (Vi). The calculations involve determining the change in height and translating that into energy terms to solve for Vi. Ultimately, the discussion highlights the importance of energy conservation in analyzing projectile motion.
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A particle of mass 0.500 kg is shot from point P, 60 m above the ground. The particle has an initial velocity Vi, with a horizontal component of 30.0 m/s. The particle rises to a maximum height of 20.0 m above P. Using the Law of Conservation of Energy, determine the vertical component of Vi.
 
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use lose in PE=gain in KE to start
 
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