As mentioned before, our asteroid is in the shape of a sphere and has a mass of 1000 kilograms. determine the density (in grams per cubic centimeter) of this asteroid if its diameter is known to be 1.2 meters. useful information: 1 kg = 1000 g, 1 m = 100 cm, volume of sphere = 4/3 ? r3. remember that the radius of a sphere is equal to half its diameter. show all of your work. (20 points)

Explanation:

Density is a characteristic property of a material and is defined as the relationship between the mass and volume of a specific substance or material. So, the density of the asteroid is given by the following equation:

  (1)

On the other hand, we know the asteroid has a mass and is spherical. This means its volume is given by the following formula:

  (2)

Where  is the radius of the sphere and is half its diameter .

Knowing this, we can calculate the volume:

  (3)

  (4)

Substituting (4) in (1):

  (5) This is the density of the asteroid, but we were asked to find it in . This means we have to make the conversion:

Finally:

with the invention of the automobile, the woman of the house could drive to the store and get groceries. women were also free to socialize more. during world war ii women were allowed to work in factories to the war effort and could drive to work or ride mass transit buses to their jobs.

a) electrical > light, sound, and thermal< < < <

) the mechanical energy of the firefighter moving.< < < < a) electrical > light, sound, and thermal< < < <

c) both a and b.