In a needle biopsy, a narrow strip of tissue is extracted froma patient with a h

Question

In a needle biopsy, a narrow strip of tissue is extracted froma patient with a hollow needle. Rather than being pushed by hand,to ensure a clean cut the needle can be fired into the patient'sbody by a spring. Assume the needle has mass 5.60 g, the lightspring has force constant 440 N/m, andthe spring is originally compressed 8.10 cm to project the needlehorizontally without friction. How do I find the maximum speed of the needle? (m/s) In a needle biopsy, a narrow strip of tissue is extracted froma patient with a hollow needle. Rather than being pushed by hand,to ensure a clean cut the needle can be fired into the patient'sbody by a spring. Assume the needle has mass 5.60 g, the lightspring has force constant 440 N/m, andthe spring is originally compressed 8.10 cm to project the needlehorizontally without friction. How do I find the maximum speed of the needle? (m/s)

Explanation / Answer

0.5mv2 = 0.5kx2 mv2 = kx2 (0.00560)v2 = (440)(0.00810)2 v = 2.27047824m/s

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