Question

4) If a body of mass ‘m' is in a fluid. If the body suspends in the fluid, then
a) mg = B
b) mg <B
c) mg > B
d) any of these​

Answer 1

Answer:

questions in the fact that in any given fluid, pressure increases with depth. When an object is immersed in a fluid, the upward force on the bottom of an object is greater than the downward force on the top of the object. The result is a net upward force (a buoyant force) on any object in any fluid. If the buoyant force is greater than the object’s weight, the object will rise to the surface and float. If the buoyant force is less than the object’s weight, the object will sink. If the buoyant force equals the object’s weight, the object will remain suspended at that depth. The buoyant force is always present in a fluid, whether an object floats, sinks or remains suspended.

The buoyant force is a result of pressure exerted by the fluid. The fluid pushes on all sides of an immersed object, but as pressure increases with depth, the push is stronger on the bottom surface of the object than in the top (as seen in ).

You can calculate the buoyant force on an object by adding up the forces exerted on all of an object’s sides. For example, consider the object shown in.

The top surface has area

A

and is at depth

h

1

; the pressure at that depth is:

P

1

=

h

1

ρ

g

,

where

ρ

is the density of the fluid and

g

≈

9.81

m

s

2

is the gravitational acceleration. The magnitude of the force on the top surface is:

F

1

=

P

1

A

=

h

1

ρ

g

A

.

This force points downwards. Similarly, the force on the bottom surface is:

F

2

=

P

2

A

=

h

2

ρ

g

A

and points upwards. Because it is cylindrical, the net force on the object’s sides is zero—the forces on different parts of the surface oppose each other and cancel exactly. Thus, the net upward force on the cylinder due to the fluid is:

F

B

=

F

2

−

F

1

=

ρ

g

A

(

h

2

−

h

1

)

Explanation:

hope it help you

Answer 2

If a body of mass m is in a fluid the body is suspended in a fluid then mg> b

Option c

Explanation:

• there are two forces that act on a body which is immersed in a liquid. One is the weight of the body and other is the upthrust. If the weight of the body is more than the upthrust then the body sink.
• If the weight of a body is less than the upthrust in fluids. If both the upthrust and the weight of the body are equal then they remain in a stable equilibrium

To know more,

Does the force of buoyancy acts on the body if it sinks. If yes then ...

https://brainly.in/question/1099519