Question

There are 5 objects ( a pink, violet, yellow, white, gray object). Each box has a different mass (28.7g, 41.6g, 8.7g, 30.4g, 76.9g ) and a different volume (11.6cm³, 57.4cm³, 14.9cm³, 29cm³ and 57cm³). The volume of the yellow object is not 29cm3 and it is also not 57.4cm3. The white object has a greater mass than the pink object The gray object has a density of 1.349 grams per cubic cm and a mass of 76.9g The density of water is 1.0 grams per cubic cm. If the white object was placed in water, it would sink. The density of water is 1.0 g/cm3. If the yellow object was placed in water, it would float. The density of aluminum is 2.7 g/cm3. The violet object is more dense than aluminum One object has a volume of 57.4 cm3 and a density of 0.5 grams per cubic centimeter. The volume of the violet object is not 11.6 cubic centimeters

Which object has a volume of 57.4 cm³ and a density of 0.5 g/cm³?

A. Violet
B. Gray
C. Yellow
D. White
If the white object is placed in water, what will happen?

A. It will float
B. It will sink
C. It will stay at the same level
D. It will dissolve
Which object has a greater mass than the pink object?

A. White
B. Violet
C. Gray
D. Yellow
If the yellow object is placed in water, what will happen?

A. It will float
B. It will sink
C. It will stay at the same level
D. It will dissolve
Which object is more dense than aluminum?

A. Violet
B. Gray
C. Yellow
D.White

Answer 1

The object with a volume of 57.4 cm³ and density of 0.5 g/cm³ is gray, the white object will sink in water, the white object has greater mass than the pink object, the yellow object will float in water, and the violet object is more dense than aluminum.

Step-by-step explanation:

Physics Problem: Density and Buoyancy

Given the information about the five objects, a few deductions can be made using the concept of density, which is defined as p = m/V (where p is density, m is mass, and V is volume).

The object with a volume of 57.4 cm³ and a density of 0.5 g/cm³ has a mass of 28.7 g (since density is mass divided by volume, hence 0.5 g/cm³ * 57.4 cm³ = 28.7 g). This object cannot be gray because the gray object has a mass of 76.9g, so the correct answer is:

• B. Gray

The white object will sink in water because it is stated that it would sink if placed in water:

• B. It will sink

The object with a greater mass than the pink object is the white object because it is explicitly stated to have a greater mass:

• A. White

The yellow object will float in water because it is mentioned that if placed in water, it would float:

• A. It will float

The object more dense than aluminum is the violet object because it is described as being more dense than aluminum, which has a density of 2.7 g/cm³:

• A. Violet