La Belle, one of four ships that Robert La Salle used to establish a French colo
ID: 1453079 • Letter: L
Question
La Belle, one of four ships that Robert La Salle used to establish a French colony late in the seventeenth century, sank off the coast of Texas. The ship's well- preserved remains were discovered and excavated in the 1990s. Among those remains was a small bronze cannon, called a minion. Suppose the minion's total volume is 4.14 times 10^-2 m^3. What is the minion's mass if its apparent weight in sea water is 3.115 times 10^3 N? The density of sea water is 1.025 times 10^3 kg/m^3. {Ans. 3.6 times 10^2 kg} 2. A strange idea to control volcanic eruptions is developed by a daydreaming engineer. The engineer imagines a giant piston that fits into the volcano's shall, which leads from Earth's surface down to the magma chamber. The piston controls an eruption by exerting pressure that is equal to or greater than the pressure of the hot gases, ash, and magma that rise from the magma chamber through the shaft. The engineer assumes that the pressure of the volcanic material is 4.0 times 1011 Pa, which is the pressure in Earth's interior. If the material rises into a cylindrical shaft with a radius of 50.0 m. what force is needed on the other side of the piston to balance the pressure of the volcanic material? [Ans. 3.1 times 10^15 N]Explanation / Answer
here
V = 4.14 * 10^-2 m^3
apparent weight = 3.115 * 10^3 N
psw = 1.025 * 10^3 kg/m^3
Fb = Fg - apparent weight
psw * Vg = m*g - apparent weight
m = psw * V + apparent weight / g
m = 1.025 * 10^3 * 4.14 *10^-2 + ( 3.115 * 10^3 / 9.8 )
m = 42.4 + 318 = 3.6 * 10^2 kg
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