A cork is submerged in water by a spring atta | vedclass

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(B) The cork is held submerged by the spring force $F_s$ and the buoyant force $F_B$, balancing its weight $W = mg$. $F_s + W = F_B$ or $F_s = F_B - W

Vedclass · Accepted Answer

Decreases

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(B) The cork is held submerged by the spring force $F_s$ and the buoyant force $F_B$, balancing its weight $W = mg$. $F_s + W = F_B$ or $F_s = F_B - W = V \rho_w g - V \rho_c g = V(\rho_w - \rho_c)g$. When the elevator accelerates downwards with acceleration $a$, the effective gravity becomes $g' = (g - a)$. The new spring force is $F_s' = V(\rho_w - \rho_c)(g - a)$. Since $(g - a) As $F_s = kx$, where $k$ is the spring constant and $x$ is the extension, a decrease in $F_s$ leads to a decrease in the extension $x$. Therefore, the length of the spring decreases.

$A$ cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with an acceleration $a$ downwards, the length of the spring:

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