# Spring constant k3nm vs the position of the block

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spring constant k=3N/m vs the position of the block with x=0 as the equilibrium position of the spring. If the spring were compressed 3 meters and the block were released draw the total energy of the block on the graph. What is the velocity of the block after it's been released at the point x=0 if it weighs 1kg? 4. Plot the potential energy vs. position for the for scenario in the figure. Call B the equilibrium position of the spring and define your gravitational potential energy such that V g = 0 at the level of the spring, (i.e. define your coordinate system such that h = 0 at the level of the spring). Describe the motion of the block if H = 1 meter, the mass of the block is 500 grams, the spring constant is 3 N/m, and you compress the block 2 meters into the spring before letting it go. Draw in the total energy on the graph. 5. A 9.5 gram bullet hits a 5.4 kg block in collision as shown in the figure such that the block is free to rotate as a pendulum. a) If the collision is inelastic, the bullet gets stuck in the block. If the final height of the block after the collision is 6.3 cm, what was the initial velocity of the bullet? b) If the initial velocity of the bullet was 633 m/s, and the collision was instead inelastic, what would be the final height of the block? 6. Label the collisions shown in the figure as elastic, inelastic or impossible.
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• Fall '07
• Hicks

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