Two similar springs P and Q have spring constants K_P and K_Q, such that K_P K_Q. They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the spring…

Question

Two similar springs P and Q have spring constants K_P and K_Q, such that K_P > K_Q. They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the springs W_P and W_Q are related as, in case (a) and case (b), respectively

Accepted Answer

Correct answer: B. (c) Here, K_P>K_Q Case (a): Elongation (x ) in each spring is same. W_P= 12K_Px^2 ,W_Q= 12K_Qx^2 ∴w_P>W_Q Case (b): Force of elongation is same. So, x_1= FK_p and x_2= FK_Q W_P= 12K_Px_2^1= 12 F^2K_PW_Q= 12K_Qx_2^2= 12 F^2K_Q ∴W_P<W_Q

$Two similar springs P and Q have spring constants K_{P} and K_{Q}, such that K_{P} > K_{Q} . They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the springs W_{P} and W_{Q} are related as, in case (a) and case (b), respectively$

Solution

More Work, Energy & Power PYQs