How is the upthrust related to the volume of the body submerged in a liquid ?...
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Suppose you submerged a ball whose density is less than that of water. Now, since density of ball is less than that of water, ball will float.
Now you submerge the ball by external means. Assuming the water to be non-viscous(for simplification), the only forces acting on the ball will be buoyant(upthrust) force and gravitational force due to Earth. Thus according to Newton's 2nd law, net force must be equal to massxacceleration.
Assuming that the container(in which the ball was submerged) is at rest,
B-W=0 where B= Buoyant force, W= weight of the ball.
Therefore, B = W.
Now you submerge the ball by external means. Assuming the water to be non-viscous(for simplification), the only forces acting on the ball will be buoyant(upthrust) force and gravitational force due to Earth. Thus according to Newton's 2nd law, net force must be equal to massxacceleration.
Assuming that the container(in which the ball was submerged) is at rest,
B-W=0 where B= Buoyant force, W= weight of the ball.
Therefore, B = W.
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The effect of upthrust is that the weight of the body immersed in a liquid appears to be less than its actual weight. Larger the volume of the body submerged in fluid, greater is the upthrust. More the density of the fluid, greater is the upthrust.
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