Worksheet problems: 1. Superman compresses a 10cm long steel rod that has a cros

Question

Worksheet problems: 1. Superman compresses a 10cm long steel rod that has a cross sectional area of 1.0cm2 by 2.0mm. How much force must the red caped guy in long johns apply? 2. When a tangential force of magnitude F 4.5N is applied across the top of a text book of area 0.015m2 as shown in Fig 9.9 of the text, the spine tilts by 3.2° relative to vertical. Calculate the shear modulus of the book. 3. A solid aluminum sphere of radius 0.10m sinks in the ocean to depth of 100m, by what % does the volume of the sphere decrease? 4. What is the minimum volume of He balloon necessary to lift your weight? 5. A water supply pipe for a two story house has inlet pressure 2.0x10*N/m2, and cross sectional area 8.0cm. 0.0008 a 1.0cm 2 = 0.0010 m2 opening with speed V2 a 5.0cm/s-0.05m/s. Determine the inlet velocity and the outlet pressure Om2. A faucet on the 2nd floor (4.0m above ground level) is open and water flows out of 6. An aircraft with wing surface area A = 20m2 flies at speed v = 40m/s. the air above the wing moves at speed 45m/s and the air below the wing moves at speed 37m/s, calculate the aerodynamic lift force which acts on the wings 7. A compressible sphere of radius 0.10m is pulled just below the surface of fresh water a) What buoyant force acts on the sphere? b) When the sphere is pulled under water to a depth of 10m its' radius is reduced to 0.80m, calculate the bulk modulus of the sphere and the buoyant force on the sphere at this depth. 8. Write a problem for which the solution is given by Volume V (18grams -12grams)/(1.Ogram/cm2).

Explanation / Answer

1] By Hookes law, E = stress/strain

E = [ F/A]/strain

F = E* strain*A

= 200e9*(0.2/10)*1e-4

= 4*10^5 N answer

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