A block of weight 10 N produces an extension of 9 cm when it is hung by an elastic spring of length 60 cm and is in equilibrium. The spring is cut into two parts, one of length 40 cm and the other of

Question

A block of weight 10 N produces an extension of 9 cm when it is hung by an elastic spring of length 60 cm and is in equilibrium. The spring is cut into two parts, one of length 40 cm and the other of length 20 cm. Another weight of 20 N hangs in equilibrium supported by both parts as shown in the figure. Find the total extension of the two parts of the spring (in cm) now.

TestHub · Accepted Answer

​ 10 = k × 100 y ​ ​ k = 9 1000 ​ ​ k 1 ​ × 4 = k × 60 = 9 1000 ​ × 60 ​ k 1 ​ = 3 500 ​ ​ k 2 ​ × 20 = k × 60 ⇒ k 2 ​ = 3 1000 ​ ​ kq − k 1 ​ + k 2 ​ = 500 ​ 10 = 500 x ⇒ x = 50 1 ​ m = 2 cm ​

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