A block of woof of mass 150g and density 0.8g/cc is immersed in water of density 1g/cc.Find the net upward force on the block and the upward acceleration.

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ρ_{b} (in g/cc)

ρ_{w} = 1 g/cc

(ρ_{b} = \frac{2}{3} g/cc, neglect viscosity and surface tension)

ρ

σ

\frac{M g}{3 x}

\begin{matrix} C o l u m n 1 & C o l u m n 2 & C o l u m n 3 (T e n s i o n d e v e l o p e d i n s t r i n g) & (F o r c e g e n e r a t e d i n s p r i n g) (I) & I f ρ = 2 g / c c & (i) & T = \frac{4 M g}{3} & (P) & F = \frac{M g}{3} σ = 1 g / c c (I I) & I f ρ = 1 g / c c & (i i) & T = \frac{M g}{3} & (Q) & F = 0 σ = 1 g / c c (I I I) & I f ρ = 1 g / c c & (i i i) & T = \frac{M g}{2} & (R) & F = \frac{M g}{2} σ = 2 g / c c (I V) & I f ρ = 1.2 g / c c & (i v) & T = 0 & (R) & F = \frac{4 M g}{3} σ = 0.8 g / c c \end{matrix}

ρ > σ

ρ

σ

\frac{M g}{3 x}

\begin{matrix} C o l u m n 1 & C o l u m n 2 & C o l u m n 3 (T e n s i o n d e v e l o p e d i n s t r i n g) & (F o r c e g e n e r a t e d i n s p r i n g) (I) & I f ρ = 2 g / c c & (i) & T = \frac{4 M g}{3} & (P) & F = \frac{M g}{3} σ = 1 g / c c (I I) & I f ρ = 1 g / c c & (i i) & T = \frac{M g}{3} & (Q) & F = 0 σ = 1 g / c c (I I I) & I f ρ = 1 g / c c & (i i i) & T = \frac{M g}{2} & (R) & F = \frac{M g}{2} σ = 2 g / c c (I V) & I f ρ = 1.2 g / c c & (i v) & T = 0 & (S) & F = \frac{4 M g}{3} σ = 0.8 g / c c \end{matrix}

c c^{-} 1

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