An object is suspended from a spring scale first in air, then in water, as shown in the figure above. The spring scale reading in air is $17.8\,\text{N}$, and the spring scale reading when the object is completely submerged in water is $16.2\,\text{N}$. The density of water is $1000\,\text{kg/m}^3$.

Question

An object is suspended from a spring scale first in air, then in water, as shown in the figure above. The spring scale reading in air is $17.8\,\text{N}$, and the spring scale reading when the object is completely submerged in water is $16.2\,\text{N}$. The density of water is $1000\,\text{kg/m}^3$.(a) Calculate the buoyant force on the object when it is in the water.
, (b) Calculate the volume of the object.
, (c) Calculate the density of the object.
, (d) How would the absolute pressure at the bottom of the water change if the object was removed?

It would increase.
It would decrease.
It would remain the same.

Justify your answer.
:

Jason · Accepted Answer

$\boxed{1.6\,N}$
$\boxed{1.63 \times 10^{-4}\,m^3}$
$\boxed{1.12 \times 10^4\,kg/m^3}$
The absolute pressure at the bottom of the water $\boxed{\text{decreases}}$ because the when the ball is removed the water height decreases, which decreases hydrostatic pressure, and thus also absolute pressure, as given by the equation $p = p_{\text{atm}} + \rho_{w} g h$.

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