a. 8. A spring loaded Nerf gun (k=500N/m) compresses 2cm when loaded. A person fires the 1.3g dart straight up, so that it sticks to the 3m high ceiling with a bang that makes the dart a bit warmer. Energy (J) E E EL Iniital b. Conservation of energy equation: System/Flow Energy (J) Ek Eg el El Eth Final c. Calculate the velocity at which the dart was moving as it hit the ceiling, knowing that in the "bang" 13% of the energy made the dart warmer.