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Question

Physics Question on Hooke's Law

Two springs have their force constant as k1k_1 and k2(k1>k2)k_2 (k_1 > k_2). when they are stretched by the same force

A

no work is done in case of both the springs

B

equal work is done in case of both the springs

C

more work is done in case of second spring

D

more work is done in case of first spring

Answer

more work is done in case of second spring

Explanation

Solution

Since force in both springs is same: k1x1=k2x2k _{1} \,x _{1}= k _{2} \,x _{2} If k1>k2k _{1}> k _{2} then x1<x2x _{1}< x _{2} Work =0.5kx2=0.5 \,kx ^{2} Hence, work by second spring is greater than first