When a 4.10-kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.90 cm. If the 4.10-kg object is removed, how far will the spring stretch if a 1.50-kg block is hung on it?

Question

Dennis Duran

Physics

16 February, 01:34

When a 4.10-kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.90 cm. If the 4.10-kg object is removed, how far will the spring stretch if a 1.50-kg block is hung on it?

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Answers (1)

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Zain Orozco · Answer 1

Using Hooke's law,

F = - kx

Where,

F = force of the mass

k = spring constant/stiffness

x = length of the spring

Given:

F1 = m1*a

= 4.1 * 9.81

= 40.221 N

F2 = m2*a

= 1.5 * 9.81

= 14.715 N

x1 = 2.9 cm

F1/x1 = F2/x2

Therefore,

x2 = (14.715 * 2.9) / 40.221

= 1.06 cm.