CBSE Class 9 Answered
Spring P and Q are similar. What is the length of spring P in figure(iv)?
Asked by a.behera67 | 07 Jan, 2016, 07:25: PM
Expert Answer
Given that the length of the spring is 3 cm
In case (ii), the length of the spring is 6 cm when a weight of 2 N is attached.
e = 6 cm - 3 cm = 3 cm = 0.03 m and F = 2 N
Using, F = e × k ....... (Where, k is the spring constant)
→ 2 N = 0.03 × k
→ k = 66.66 N/m
17.
Force needed to stretch spring P, FP = e × kP
Force needed to stretch spring Q, FQ = e × kQ
Thus, the weight supported by both the springs, W = FP + FQ = ekP + ekQ = ekeff
where keff = kP + kQ = 66.66 + 66.66 = 133.32 N/m
Here, W = 8 N
Substituting the values, we get
8 N = e × 133.32 N/m
→e = 0.060 m
Length of the spring = 0.03 m + e = 0.03 m + 0.06 m = 0.09 m
Or length of spring P = 9 cm
Answered by Yashvanti Jain | 08 Jan, 2016, 12:15: PM
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