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

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

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

Suggest Corrections

Similar questions

Write true or false for each statement:

(a) Equal volumes of the two different substances have equal masses.

(b) The density of a piece of brass will change by changing its size or shape.

(d) Relative density of water is 1.0.

(e) Relative density of a substance is expressed in g $c m^{-} 3$ .

(f) When a body is immersed in a liquid, the buoyant force experienced by the body is equal to the volume of the displaced by it.

(g) A body experiences the same buoyant force while floating in water or alcohol.

(h) A body experiences the same buoyant force when it floats or sinks in water.

(i) A body floats in a liquid when its weight becomes equal to the weight of the liquid displaced by its submerged part.

(j) A body while floating sinks in a liquid of low density than in high density.

A body of mass $10 k g$ and volume $0.5 m^{3}$ is placed in a liquid. What is the density of the liquid when buoyant force is equal to weight of the body? (Take acceleration due to gravity = $10 m / s^{2}$ )

What happens when buoyant force exerted by the fluid is greater than the weight of the body?

Q. Analyse the given statements and choose the correct option.
Statement I: The buoyant force of water on a submerged wooden cube is greater than the buoyant force of water on a steel cube of equal volume.
Statement II: The buoyant force on a body is equal to the weight of the liquid displaced by the body.

A body experiences the same buoyant force when it floats and sinks in water.

Join BYJU'S Learning Program

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

The correct option is A 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