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A block with a mass of 0.85 kg rests on a horizontal, frictionless surface and is attached to an unstretched spring of length 20 cm. The spring constant of the spring is 9.5 x 103 N/m. The spring is attached to a wall at its other end. A 7.50-grams, 9-mm-diameter bullet is fired into the block at a speed of 350 m/s and embeds itself in the block. The system now starts oscillating.
A. Treat the collision of the bullet and the block as perfectly inelastic and determine the speed with which the block (with embedded bullet) moves right after the collision. [3 Points]
B. Use the answer from part A to determine the amplitude of the resulting oscillations (Hint: use energy conservation after the collision). [3 Points]
C. What is the frequency of the resulting oscillations? [2 Points)
D. If the speed with which the (same) bullet enters the block is increased, does this affect the frequency of the oscillations? Explain using 1 to 3 sentences. [2 Points)
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