Physics Properties Of Matter Level: High School
The hydraulic oil in a car lift has a density of 8.30 102 kg/m3 . The weight of the input piston is negligible . The radii of the input piston and output plunger are 7.50 10- m and 0.125 m , respectively . What input force F is needed to support the 22500 N combined weight of a car and the output plunger under following conditions ?
a) The bottom surface of the piston and plunger are at the same level .
b) The bottom surface of the output plunger is 1.50 m above that of the input piston .
Physics Properties Of Matter Level: High School
Two identical containers are open at the top and are connected at the bottom via a tube of negligible volume and a valve which is closed . Both containers are filled initially to the same height of 1.00 m , one with water , the other with mercury , as the drawing indicates . The valve is then opened . Water and mercury are immiscible . Determine the fluid level in the left container when equilibrium is reestablished
Question Diagram
Physics Properties Of Matter Level: High School
Gases
a) An ideal gas occupies a volume of 1.0 cm cubed at 20 degrees C and atmospheric pressure . Determine the number of molecules of gas in the container .
b) If the pressure of the 1 cm cubed volume is reduced to 1.0 X 10 to the -11 pa , while the temperature remains constant , how may moles of gas remain in the container ?
Physics Properties Of Matter Level: High School
Gases
One mole of oxygen gas is at a pressure of 6.00 atm and a temperature of 27 degrees C .(a) If the gas is heated at constant volume until the pressure triples , what is the final temperature ?
(b) If the gas is heated so that both the pressure and volume are doubled , what is the final temperature ?
Physics Properties Of Matter Level: High School
Elasticity
If the shear stress in steel exceeds about 4.20 x 10^8 N/m^2 , the steel rupturesa) Determine the shearing force necessary to shear a steel bolt 0.950 cm in diameter .
b) Determine the shearing force necessary to punch a 0.950 cm diameter hole in a steel plate 0.590 cm thick .
Physics Properties Of Matter Level: High School
Archimedes’s Principle
A 1.00 kg beaker containing 1.80 kg of oil (density = 916 kg/m^3) rests on a scale . A 1.60 kg block of iron is suspended from a spring scale and completely submerged in the oil . Find the equilibrium of both the scales .
Physics Properties Of Matter Level: High School
Pascal’s Law
Piston 1 in the figure which is shown at “click here” has a diameter of 0.27 in. Piston 2 has a diameter of 1.9 in . In the absence of friction , determine the force ,F , necessary to support the 500 lb weight .
Physics Properties Of Matter Level: High School
Density
Consider a point in the ocean about 10.3 km deep . The pressure at that point is huge , about 1.06 x 10^8 N/m^2 .a) Calculate the change in volume of 1.00 cm^3 of water carried from the surface to this point in the ocean .
b) The density of water at the surface is 1.03 x 10^3 kg /m^3 .Find its density at this point .
c) Is it a good approximation to think of water as incompressible ?
Physics Properties Of Matter Level: High School
Pressure
A 66 kg man in a 7.0 kg chair tilts back so that all the weight is balanced on two legs of the chair . Assume that each leg makes contact with the floor over a circular area with a radius of 1.0 cm , and find the pressure exerted by each leg on the floor .
Physics Properties Of Matter Level: High School
Archimedes’s Principle
A spherical balloon is made from a material whose mass is 3.00 kg . The thickness of the material is negligible compared to the 1.2 m radius of the balloon . The balloon is filled with helium (He) at a temperature of 303 K and just floats in air , neither rising not falling . The density of the surrounding air is 1.19 kg/m^3 .Find the absolute pressure of the helium gas .
Physics Properties Of Matter Level: High School
Boyle's Law
A gas fills the right portion of a horizontal cylinder whose radius is 4.00 cm . The initial pressure of the gas is 1.01 x 10^5 Pa . A frictionless movable piston separates the gas from the left portion of the cylinder ,which is evacuated and contains an ideal spring , as the drawing at ‘click here’ shows . The piston is initially held in place by a pin . The spring is initially unstrained , and the length of the gas filled portion is 21.0 cm. When the pin is removed and the gas is allowed to expand , the length of the gas-filled chamber doubles . The initial and final temperature are equal . Determine the spring constant of the spring .
Physics Properties Of Matter Level: High School
What is the density of nitrogen gas (molecular mass = 28 u) at a pressure of 2.4 atmospheres and a temperature of 320 K ?
Physics Properties Of Matter Level: High School
Archimedes Principle
A hemispherical shaped bowl is floating on the surface water; the mass of the bowl is 0.6 kg . Water is poured into the bowl ; when 4.3 kg of water has been added , the bowl just sinks . What is the outer radius of the bowl .
Physics Properties Of Matter Level: High School
Boyle’s Law
A bubble is exhaled by a SCUBA diver 30 m below the surface of a freshwater lagoon . If the diameter of the spherical bubble is 2 cm when it leaves the diver, determine its diameter as it rises 10 cm, 20 cm and just before it reaches the surface .
Physics Properties Of Matter Level: High School
Pressure
A five foot deep above ground swimming pool is being drained through a 6” round hole in the bottom of the pool that opens to the atmosphere . A younger wearing swim fins gets too close the hole and the fin gets “sucked” up against the opening . Do you think that he can pull the flipper loose ? With how much force must he pull ?