An automobile company displays a die-cast model of its first car, made from 9.35kg of iron. To celebrate its hundredth year in business, a worker will recast the model in solid gold from the original dies. What mass of gold is needed to make the new model?

Vector a→a→  has a magnitude of 25 units and makes +20° with the +x-axis. Vector b→b→  has a magnitude of 20 units and makes +60° with the +x-axis. What is magnitude of the vector a→−b→a→-b→ ?

One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters.   c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube?  d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?

A study finds that the metabolic rate of mammals is proportional to m3/4, where m is the total body mass. By what factor does the metabolic rate of a 70.0-kg human exceed that of a 6.50-kg cat?

Evaluate the cross products A⃗ ×B⃗ A→×B→ and C⃗ ×D⃗ C→×D→? What is the magnitude of the cross product A⃗ ×B⃗ A→×B→? Express your answer using two significant figures.   What is the direction of the cross product A⃗ ×B⃗ A→×B→?   What is the magnitude of the cross product C⃗ ×D⃗ C→×D→? Express your answer using two significant figures.   What is the direction of the cross product C⃗ ×D⃗ C→×D→?

A study finds that the metabolic rate of mammals is proportional to m3/4, where m is the total body mass. By what factor does the metabolic rate of a 70.0-kg human exceed that of a 3.98-kg cat?

For a summer job you are working as an engineering intern for a metal fabricator. You are assigned the task of determining the center of mass an object to be made from a very thin sheet of airplane aluminum. The rough drawing you are given to work from is as shown below, and the outside radius of the object is to be 1.36 m. Xcm m Ycm = m R R 2

Plz C and D.

The Empire State building in New York City is approximately 1250 ft1250 ft tall. How many U.S. half dollars would be in a stack of the same height? Each half dollar is 2.15 mm2.15 mm thick.What is the value, in dollars, of the same stack of half dollars?

The volume of an automobile tire is 2.5x10^-2m^3. The pressure of the air in the tire is 3.3 atm and the temperature is 25C°. What is the mass of air in grams? The mean molecular mass of air is 29g. Calculate to 2 decimals.