Concrete blocks of masses mA and mB are balanced on two identical vertical springs. mA $$=$$ $$2mB$$. The gravitational potential energy of each system is zero at the equilibrium position of the springs. Which statement is true for the total mechanical energy of the systems when the blocks are balanced on the springs?

Question

Concrete blocks of masses mA and mB are balanced on two identical vertical springs. mA $$=$$ $$2mB$$. The gravitational potential energy of each system is zero at the equilibrium position of the springs. Which statement is true for the total mechanical energy of the systems when the blocks are balanced on the springs?

Infinity Learn · Accepted Answer

KxA $$=$$ mAgKxB $$=$$ mBg  ⇒ xAxB $$=$$ mAmB $$=2$$ ⇒ xA $$=$$ $$2xBPEA$$ $$=$$ $$12Kx2APEB$$ $$=$$ $$12KxB2$$ ⇒PEAPEB $$=$$ $$(xAxB)2$$ $$=$$ $$4So$$ for A, potential energy of spring is four times that for B.So EA $$=$$ $$4EB$$

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