Will an object with a density of 1.05 g/ml float or sink in water? explain

The object will sink, because it is more dense than water.

Let's see this in detail. There are two forces acting on the object:

- its weight, which points downward, given by

where is the object's density, is its volume, and g is the gravitational acceleration.

- The buoyancy force, which points upward, given by

where is the water density, is the volume of water displaced by the object.

We see that it is always , so the object will sink. In fact:

. We are told the object's density is 1.05 g/mL, while the water density is 1.00 g/mL.

: the two volumes are equal when the object is completely submersed, and the volume of water displaced cannot be greater than the volume of the object.

So, W > B, and the object will sink.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2