# Be sure to answer all parts. Calculate the mass of each of the following: (a) a sphere of gold with a radius of 12.5 cm. (The volume of a sphere with a radius r is V = (4/3)πr3; the density of gold is 19.3 g/cm3.) × 10 gEnter your answer in scientific notation. (b) a cube of platinum of edge length 0.049 mm (density = 21.4 g/cm3). × 10 gEnter your answer in scientific notation. (c) 67.1 mL of ethanol (density = 0.798 g/mL). g

(a)

The radius of the sphere is:

r = 12.5 cm

So the volume of the sphere of gold is

The density of gold is

So the mass of the sphere is

(b)

The length of one side of the cube is

L = 0.049 mm = 0.0049 cm

So the volume of the cube of platinum is

The density of platinum is

So the mass of the cube is

(c) 53.5 g

The volume of the ethanol is

V = 67.1 mL

While its density is

d = 0.798 g/mL

So the mass of the ethanol is

## Related Questions

The specific heat of granite is 800 J/(kg·°C). How much heat does it take to raise 1 kg of granite 4°C?

Q=mcΔt
Q= 1kg * 800J/kg°C*4°C
Q= 3200J

Give brief descriptions of both the Kuiper belt and the Oort cloud.

KUIPER BELT : The Kuiper belt is on the name of the scientist kuiper .It is the largest structure of the solar system its inner edge is about 30 AU from the Sun. The thickness of the kuiper belt is about 10 AU. It contains comets and other icy bodies

OORT CLOUD : The name of this cloud is one the name of a scientist Jhon oort. It is a theoretical cloud and mainly consist icy bodies it far away from the Sun. Its structure is spherical in nature and mostly contain ice water amonia methane

Testing Plant Growth with Fertilizer Day Plant Height (cm) Group A (Water Only) Plant Height (cm) Group B (Water and Fertilizer)
1 2.0 2.0
2 2.2 2.3
3 2.3 2.8
4 2.5 3.2
5 2.6 3.8

For an investigation, Mr. Rose planted two groups of plants (Groups A and B). Both groups received the same amounts of water and sunlight and were planted in the same type of soil. Group B received fertilizer while Group A did not. He recorded the average growth of each group for five days.

Mr. Rose recorded several predictions about his investigation. Which of his predictions was correct, based on the data shown?

Explanation: got it right on usatestprep

Answer: B, by the end of the fifth day, Group B would have grown more than one cm taller than Group A

Explanation:

The transmission of heat requiring the movement of a liquid or a gas is A. conduction B. radiation. C. convection. D. transduction.

convection C

Explanation:

C. convection

If a 10 kg object has 200 J of gravitational potential energy, how high was has it been lifted above the ground?

Potential energy is possessed by the body while at rest while the body in motion possesses kinetic energy.
Potential energy is given by mgh where m is the mass of the body, g is the gravitational acceleration(9.8m/s^2) and h is the height.
Therefore, 200J = 10  × 9.8 ×h
h = 200/98
h = 2.041 m

What structure help support plants

The cell structure that helps support plants is the cell wall. It provides a shell structure around the main cell of the plant and its layers so then it will have the adequate amount of strength that it needs. It's also one of the reasons why even non-woody plants such as herbs have the strength of support itself.
The structure that help support plants is the stem

A 580-mm long tungsten wire, with a 0.046-mm-diameter circular cross section, is wrapped around in the shape of a coil and used as a filament in an incandescent light bulb. When the light bulb is connected to a battery, a current of 0.526 A is measured through the filament. (Note: tungsten has a resistivity of 4.9 × 10-8 ? • m.) How many electrons pass through this filament in 5 seconds? What is the resistance of this filament?
What is the voltage of the battery that would produce this current in the filament?

The voltage of the battery that would produce this current in the filament is 10.28 V.

What is Voltage?

Voltage can be described as the pressure from an electrical circuit's power source that makes the electron work by pushing the charged electrons (current) through a conducting loop.

In order to calculate  the number of electrons passing through this filament in 5 seconds, we need to know the total charge that went through the filament,

We know that the charge can also be written as Q=It, therefore,

B.) We know that the resistivity of the tungsten is 5.6 \times 10^{-8} \Ohm m, therefore the resistance can be written as,

C.) We know that the relation between the current, voltage, and the resistance can be written as,

Hence, the voltage of the battery that would produce this current in the filament is 10.28 V.

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Explanation:

By definition , so we can calculate the total charge that went through the filament since we know the electric current and the time. If the charge of one electron is e, then the total charge will be given by Q=Ne. Combining these equations we get the number of electrons as:

Since the resistivity of tungsten (W) is , then resistance can be calculated using the formula:

Where we already obtained the radius from the diameter. Finally the Voltage will be given by the formula:

A 100 g ball and a 50 g ball are dropped from a tower. Both balls are the same size and there is no air resistance. Which answer best describes how they fall? The 100 g ball hits the ground first.

Both balls hit the ground at the same time.

The 50 g ball hits the ground first.

When a  100 g ball and a 50 g ball are dropped from a tower. Both balls are the same size and there is no air resistance, then both balls hit the ground at the same time.

Therefore the correct answer is option B.

What are the three equations of motion?

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem When a  100 g ball and a 50 g ball are dropped from a tower. Both balls are the same size and there is no air resistance,

Then both balls hit the ground at the same time because newton's equation of the motion is independent of the mass of the falling object. Thus the correct answer is option B.

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the correct answer is they both fall at the same time i just took the test

I NEED HELP??!! Which material transmits the most light waves?
a. umbrella
b. blanket
c. mirror
d. clear glass

The material that transmits most light is d) clear glass.

Explanation:

Depending on whether objects can transmit light or not, they can be classified into three types:

• Opaque: an object opaque does not transmit light at all (light cannot pass through an opaque object). Examples of opaque objects are metals
• Translucent: translucent objects allow light to pass partially through them. Examples of translucent objects are fluids
• Transparent: transparent objects allow light to pass through them. An example of transparent objects is clear glass

In this problem, we have the following objects:

• Umbrella: it is opaque, light does not pass through it
• Blanket: it is opaque, light does not pass through it
• Mirror: It is opaque, since it reflects light (light does not pass through it)
• Clear glass: it is a transparent object

Therefore, the material that transmits most light is d) clear glass.

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