Figure (a) applies to the spring in a cork gun (Figure (b)); it shows the spring

Question

Figure (a) applies to the spring in a cork gun (Figure (b)); it shows the spring force as a function of the stretch or compression of the spring. The spring is compressed by 6.0 cm and used to propel a 3.8 g cork from the gun. The slope of the force-position graph is .1 N/cm. (a) What is the speed of the cork if it is released as the spring passes through its relaxed position? 1 Incorrect: Your answer is incorrect. m/s (b) Suppose, instead, that the cork sticks to the spring and stretches it 1.5 cm before separation occurs. What now is the speed of the cork at the time of release? 2 m/s

Explanation / Answer

a)

a = f / m v = root [2aS]

average force on spring = 0.6N / 2 = 0.3N

m = 3.8g = 0.0038kg

a = 0.3 / 0.0038 = 78.94m/sec/sec

S = 6cm = 0.06m

v = root [2aS]

= 3.077 m / sec

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