When a body-s weight is greater than the-Buoyant-force- the body sinks with an acceleration equal to - -mass of the body - m -weight of the body - W -F-b - gt- buoyant force m-F-b - W-m-W - F-b-F-b - W-m-W - F-b-m-

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Floating and Sinking

When a body's...

Question

When a body's weight is greater than the Buoyant force, the body sinks with an acceleration equal to _____

$\frac{m}{F_{b} - W}$

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$\frac{m}{W - F_{b}}$

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$\frac{F_{b} - W}{m}$

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$\frac{W - F_{b}}{m}$

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Solution

The correct option is D
$\frac{W - F_{b}}{m}$

The body has mass m and will sink with some acceleration, say a.

From the free body diagram, we see that the net force is equal to $W - F_{b}$

From Newton's second law, we can infer that the net force is equal to mass times acceleration

$W - F_{b} = m \times a$

Or, $a = \frac{W - F_{b}}{m}$

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When a body's weight is greater than the Buoyant force, the body sinks with an acceleration equal to _____

The correct option is D W−Fbm The body has mass m and will sink with some acceleration, say a. From the free body diagram, we see that the net force is equal to W−Fb From Newton's second law, we can infer that the net force is equal to mass times acceleration W−Fb=m×a Or, a=W−Fbm