A silver cube (density of silver is 10 g/cm3) with side length of 3 cm weighs more than an aluminium cube (density of aluminium is 2.96 g/cm3) with side length of 4 cm. The cubes are each suspended by a string and allowed to be completely immersed in two identical jars containing the same amount of water (see figure below).� If the strings of both objects were cut and they sink to the bottom of the containers, which weighing scale will show a bigger reading now?

Silver:

V = L*W*h = 3*3*3 = 3^3 = 27 cm^3
Wt. = V*D = 27cm^3 * 10g/cm^3=270 grams

Aluminum:
V = 4*4*4 = 64 cm^3
Wt. = 64cm^3 * 2.96g/cm^3 = 189.4 grams

A silver cube (density of silver is 10 g/cm3) with side length of 3 cm weighs more than an aluminium cube (density of aluminium is 2.96 g/cm3) with side length of 4 cm.The cubes are each suspended by a string and allowed to be completely immersed in two identical jars containing the same amount of water (see figure below). 1)If the strings of both objects were cut and they sink to the bottom of the containers,which weighing scale will show a bigger reading now?

Since both cubes are completely immersed in water after being cut from the string, they will experience buoyant force.

The buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

To determine which weighing scale will show a bigger reading, we need to compare the buoyant forces acting on the silver cube and the aluminum cube.

First, let's calculate the volume of each cube:

Volume of silver cube = (side length)^3 = (3 cm)^3 = 27 cm^3

Volume of aluminum cube = (side length)^3 = (4 cm)^3 = 64 cm^3

Next, let's calculate the weight of water displaced by each cube, using the density of water (1 g/cm^3):

Weight of water displaced by silver cube = (volume of silver cube) * (density of water) = 27 cm^3 * 1 g/cm^3 = 27 g

Weight of water displaced by aluminum cube = (volume of aluminum cube) * (density of water) = 64 cm^3 * 1 g/cm^3 = 64 g

Therefore, the aluminum cube will displace more water and experience a greater buoyant force compared to the silver cube. This means the weighing scale under the aluminum cube will show a bigger reading.

To determine which weighing scale will show a bigger reading, we need to compare the weight of the silver cube and the weight of the aluminum cube when they are both submerged in water.

To calculate the weight of an object, we use the formula:

Weight = Density × Volume × Gravity

The volume of a cube is given by the formula:

Volume = Side length × Side length × Side length

Given that the side length of the silver cube is 3 cm, we can calculate its volume:

Volume of silver cube = 3 cm × 3 cm × 3 cm = 27 cm3

Using the formula for weight, the weight of the silver cube can be calculated as follows:

Weight of silver cube = Density of silver × Volume of silver cube × Gravity
Weight of silver cube = 10 g/cm3 × 27 cm3 × 9.8 m/s2 (acceleration due to gravity)

Since the units are not consistent, we need to convert to a consistent unit, such as grams:

Weight of silver cube = (10 g/cm3 × 27 cm3) ÷ 1000 = 2.7 kg (To convert cm3 to liters: 1 cm3 = 1 mL = 1/1000 L)

Now let's calculate the weight of the aluminum cube using the same method:

The side length of the aluminum cube is 4 cm, so its volume will be:

Volume of aluminum cube = 4 cm × 4 cm × 4 cm = 64 cm3

Using the formula for weight, the weight of the aluminum cube can be calculated as follows:

Weight of aluminum cube = Density of aluminum × Volume of aluminum cube × Gravity
Weight of aluminum cube = 2.96 g/cm3 × 64 cm3 × 9.8 m/s2

Again, let's convert the units to grams:

Weight of aluminum cube = (2.96 g/cm3 × 64 cm3) ÷ 1000 = 11.8784 kg

Therefore, the weight of the silver cube is 2.7 kg and the weight of the aluminum cube is 11.8784 kg when submerged in water.

If both cubes sink to the bottom of the containers after the strings are cut, the weighing scale attached to the aluminum cube will show a bigger reading because it has a greater weight of 11.8784 kg compared to the weight of the silver cube, which is 2.7 kg.