A mouse is on a crazy roller coaster which has five distinct phases.  The mouse in his roller coaster car has a mass of 6 kg. The mouse starts the coaster by being pulled back 0.2 m into a spring with a spring constant of 1890 N/m. How much elastic potential energy does the mouse have as he starts his ride? After the spring is released, the mouse travels over the first hill, effectively coming to rest at the top. Calculate the height of the first hill? He then speeds into a valley. At the bottom of the valley 3 J of energy is lost due to friction. What is his total remaining energy after he travels through the valley? The mouse then travels over a 0.10 m hill. How fast is the mouse traveling over the hill at point D?  The mouse finally makes it to the final phase of the ride, where he will race along at ground level. How fast is he traveling at point E?

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  1. A mouse is on a crazy roller coaster which has five distinct phases. 
    1. The mouse in his roller coaster car has a mass of 6 kg. The mouse starts the coaster by being pulled back 0.2 m into a spring with a spring constant of 1890 N/m. How much elastic potential energy does the mouse have as he starts his ride?
    2. After the spring is released, the mouse travels over the first hill, effectively coming to rest at the top. Calculate the height of the first hill?
    3. He then speeds into a valley. At the bottom of the valley 3 J of energy is lost due to friction. What is his total remaining energy after he travels through the valley?
    4. The mouse then travels over a 0.10 m hill. How fast is the mouse traveling over the hill at point D?
    5.  The mouse finally makes it to the final phase of the ride, where he will race along at ground level. How fast is he traveling at point E? 
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