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work
1/2(mass)(final speed)² - 1/2(mass)(starting speed)²
velocity, motion energy
1/2(mass)(speed)²
spring, compressed, stretched, stored
1/2(spring stiffness)^2 = 1/2(mass)(speed)^2
spring launches object upward
1/2(spring stiffness)(compression)^2 = (mass)(gravity)(height)
height energy
(mass)(gravity)(height)
objects collide + stick
(mass 1)(speed 1) = (total mass)(final speed)
object compresses spring
1/2(mass)(speed)² = 1/2(spring stiffness)(compression)²
Object falls/rises to find speed
mass(gravity)(height) = 1/2(mass)(speed)^2
cancel mass, solve for speed