A thief uses a can of sand to replace a solid gold cylinder that sits on a weight-sensitive, alarmed pedestal. The can of sand and the gold cylinder have exactly the same dimensions (length = 22 and radius = 3.8 cm). a. Calculate the mass of each cylinder (ignore the mass of the can itself). (density of gold = 19.3 g/cm³, density of sand = 3.00 g/cm³) b. Does the thief set off the alarm? Explain.

The value of the euro was recently \$1.15 U.S., and the price of 1 liter of gasoline in France is 1.42 euro. What is the price of 1 gallon of gasoline in U.S. dollars in France?

The proton has a radius of approximately 1.0×10⁻¹³ cm and a mass of 1.7×10⁻²⁴ g. Determine the density of a proton for a sphere V = (4/3)πr³.

The density of titanium is 4.51 g>cm3. What is the volume (in cubic inches) of 2.54 lb of titanium?

The density of iron is 7.86 g/cm³. What is its density in pounds per cubic inch (lb/in³)?

Force is defined as mass times acceleration. Starting with SI base units, derive a unit for force. Using SI prefixes, suggest a convenient unit for the force resulting from a collision with a 10-ton trailer truck moving at 55 mi per hour and for the force resulting from the collision of a molecule of mass around 10 - 20 kg moving almost at the speed of light (3×10⁸ m/s) with the wall of its container. (Assume a 1-second deceleration time for both collisions.)