A 7.1 Kg mass hanging from a spring scale is slowly lowered onto a vertical spri

Question

A 7.1 Kg mass hanging from a spring scale is slowly lowered onto a vertical spring, as shown in the figure (Figure 1) What does the spring scale read just before the mass touches the lower spring? Express your answer to two significant figures and include the appropriate units. The scale reads 23 N when the lower spring has been compressed by 2.2cm. What is the value of the spring constant for the lower spring? Express your answer to two significant figures and include the appropriate units. At what compression length will the scale read zero? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Since the mass is 7.1 kg

So weight = 7.1 * 9.81 = 69.65 N

A) 69.65 N

B) mg - k*x = 23 N

Or k = 69.65-23/.022 = 2120.45 N

C) mg = k*x

Elongation = 0.0328 m or 3.28 cm

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