When a 2.9 kg object is suspended in water, it "masses" 1.5 kg. What is the density of the object?

1.93

To find the density of an object, we can use the formula:

Density = Mass / Volume

In this case, we are given the mass of the object when it is suspended in water, but not its volume. However, we can use the concept of buoyancy to determine the volume.

When an object is submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid it displaces. This buoyant force allows the object to float or be suspended in the fluid.

In this case, the object is suspended in water, so the buoyant force is equal to the weight of the water it displaces. Therefore, we can equate the weight of the object to the weight of the water it displaces:

Weight of object = Weight of water displaced

The weight of an object is given by the formula:

Weight = Mass x Gravity

The weight of the object is equal to its mass multiplied by the acceleration due to gravity. Since we are given the weight of the water, we can rearrange the equation to solve for the mass of the water:

Mass of water = Weight of water / Gravity

We can now substitute the given values into the equation:

Mass of water = 1.5 kg

Gravity is approximately 9.8 m/s^2.

Mass of water = 1.5 kg / 9.8 m/s^2 = 0.153 kg

Since the mass of the water displaced is equal to the volume of the object multiplied by the density of water, we can now find the volume of the object:

Volume = Mass of water / Density of water

The density of water is approximately 1000 kg/m^3.

Volume = 0.153 kg / 1000 kg/m^3 = 0.000153 m^3

Finally, we can calculate the density of the object:

Density = Mass of object / Volume of object

Density = 2.9 kg / 0.000153 m^3 = 18954.90 kg/m^3

Therefore, the density of the object is approximately 18954.90 kg/m^3.