Open note quiz, please and thank you

For questions 8 and 9 qualitatively complete the energy bar graph/ flow diagram and write a general energy equation in terms of type of Energy, ie. E,, E,, Es, Es, and Work, W. 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. System/Flow E E. E. Ek E El Eth Energy (J) Energy (J) Iniital Final b. Conservation of energy equation: 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. 9. You pull a 80kg wagon, initially at rest, through some tall, rough, oppositional grass (get the idea?) with 50N of force for 15 meters, until the cart reaches a velocity of 4m/s. System/Flow EK E. E. Ex E. E. Eth Energy (J) Energy (J) Iniital Final b. General energy equation: c. Calculate the energy lost to the environment and the efficiency of this energy exchange. d.) If you pulled for 20 seconds, how much power would you require? Modeling Instruction - AMTA 2013 U8 Energy - test v3.1