### 1. Introduction

We are from S2-02 Group C, wish to understand whether the mass of the object affects the rate of which it is falling.Our hypothesis is that if an object has more mass the object will fall faster than the object that has less mass.

For this we must understand how buoyancy works, buoyancy is described as an upward force exerted by a fluid, the weight of an immersed object that opposes buoyancy.When a column of fluid,  pressure and depth will both increase because of the weight of the overlying fluid.When an object is submerged into a column of fluid.Greater pressure is experienced at the bottom of the column than at the top.The pressure creates a net force that tends to accelerate an object upwards.

The force is proportional to the difference between the pressure between the top and the bottom of the column, this is proven true by (Archimedes’ principle) this is also equals to the weight of the fluid that would otherwise occupy the column, Like the displaced fluid.Because of this, the object that has greater mass than fluids, It will sink.If an object has lesser mass or density then the fluid or is shaped in a boat, the force will keep the object afloat on the water.

This can occur only in a reference frame when it has a gravitational field （example earth) or is accelerating due to a force other than gravity. defining a "downward" direction which is, a non-inertial reference frame.In a situation statics of fluids, the net upward buoyancy force is equal to the magnitude of the weight of the fluid displaced by the body.

When fluid stats are being compared to each other the amount of net upward force is equal to the magnitude of the weight of the fluid displaced by the body.The center of buoyancy of an object is known as the  centroid of the displaced volume of fluid.

More about Archimedes’ principle,Archimedes’ principle states that in terms of forces , the clarifications that of a sunken object the volume of displaced fluid is the volume of the object, and for a floating object in a liquid, the weight if the displaced liquid is the weight of the object.Buoyancy = weight of displaced fluid.

Since acceleration due to gravity is the same for all objects, the reason why objects fall at different rates underwater is because it ignores gravity as well as friction,what is observed instead is the difference between air and water.

Using this information we can now do our research better and use the Archimedes principle and what we have learned to the fullest potential

Our Hypothesis is that an object with more mass will descend faster the object with lower mass.An example of our hypothesis would  be that a object that has 10g will fall faster than the object that has 1g according to our hypothesis.

Our constant variable was the amount of water and the height of descend, these 2, however, will be affected by human error.Our Dependent Variable is the time to descend a certain Depth.The Independent Variable is mass of the capsule.

We will be using around 500 ml for the amount of water, a good HD camera also because of human reaction never being precise between the timing which we release the capsule and start recording.We can reduce this by taking the average of the times we did our experiment on that specific mass.We also need to use gravel in this experiment as the capsule to act as our mass.As there will be parts of the capsule filled with airlifting the capsule we had to fill it up with water to ensure there will be no air inside the capsule.