Asmall metal sphere weighs 0.34 n in air and has a volume of 13 cm3 . what is the acceleration of the sphere as it falls through water

To solve this problem we will apply the concepts related to the balance of forces. Said balance will be given between buoyancy force and weight, both described as derived from Newton's second law, are given as

Buoyancy force

Here,

V = Volume

=Density of air

g = Acceleration due to gravity

Weight

m = mass

g = Gravity

Our values are given as,

Then,

Replacing,

Now net force is ,

Mass of the sphere is

Now acceleration of the sphere is

Therefore the acceleration of the sphere as it falls through water is

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle