797

Physics Properties Of Matter Level: High School

Liquids

(i) Show that the excess pressure , delta P , inside a gas bubble , radius r , immersed in a liquid due to surface tension , y , is given by delta P = 2y/r .

(ii)A bubble 0.8 mm in a diameter is at a depth of 0.35 m below the surface of a liquid , density 850 kg m^-3 . The pressure above the surface of the liquid is 0.1 bar . Using a value of 55 x 10^-3 Nm^-1 for surface tension , calculate the total pressure inside the bubble .

(iii) The bubble rises to the surface . Estimate its diameter as it reaches the surface .




796

Physics Electrostatics Level: High School

Two equally charged particles are held stationary , 3.6 x 10^-3 m apart , and then released . One particle has a mass of 5.6 x 10^-8 kg and is observed to have an initial acceleration of magnitude 7.0 m s^-2 . What is the magnitude of the charge on the particles ?



795

Physics Properties Of Matter Level: High School

Bernoulli’s theorem

A horizontal pipe , 10 cm in diameter , has a smooth reduction to a pipe 5 cm in diameter . If the pressure of the water in the larger pipe is 8.00 10^4 Pa and the pressure in the smaller pipe is 6.00 10^4 Pa. What is the flow speed of the water (in m/s) in the smaller pipe ?



794

Physics Properties Of Matter Level: High School

Bernoulli’s theorem

A curve ball’s path bends to the right as it flies towards home plate because it experiences an aerodynamic force to its right . One reason the ball is experiencing this aerodynamic lift force is that the ball is spinning , and that spin

exerts a torque on the ball that causes its angular momentum to shift towards the left .

causes the air to flow more rapidly around the right side of the ball than around the left side of the ball .

Exerts a torque on the ball that causes its angular momentum to shift towards the right .

Causes the air to flow more rapidly around the left side of the ball than around the right side of the ball .




793

Physics Properties Of Matter Level: High School

Bernoulli’s theorem

An airplane wing with an average cross a sectional area of 10m^2 experiences a lift force of 5000 N . What is the difference in air pressure (in Pa) , on the average , between the bottom and the top of the wing ?



792

Physics Properties Of Matter Level: High School

Gas

An ideal gas is held in a container at constant volume . Initially, its temperature is 10.0 degrees Celsius and its pressure is 2.50 atm .

What is the pressure of the gas if it is cooled to -20 degrees Celsius ?




791

Physics Properties Of Matter Level: High School

Gas

An ideal gas is held in a container at constant volume . Initially , its temperature is 10.0 degrees Celsius and its pressure is 2.50 atm . What is its pressure when its temperature is 80.0 degrees Celsius ?



790

Physics Heat & Thermodynamics Level: High School

A perfectly insulated calorimeter contains 500 ml of water at 30 degrees Celsius and 45 g o ice at (zero) degrees Celsius . Determine the final temperature of the system . Keep units cosistant .



789

Physics Heat & Thermodynamics Level: High School

The brick wall k = 1.2 W/m . degree C of a building has dimensions of 2.8 m by 16 m and is 8 cm thick . How much heat flows through the wall in a 9.7 h period when the average inside and outside temperature are , respectively , 32 degree C and . 4 degree C ? Answer in units of MI .



788

Physics Heat & Thermodynamics Level: High School

Specific heat of water = 1 cal/(g.degree C) . How much heat is required to vaporize a (n) 6 g ice cube initially at 0 degreeC ? The latent heat of fusion of the ice is 80 cal / g and the latent heat of vaporization of water is 540 cal/g . Answer in units of cal .



787

Physics Heat & Thermodynamics Level: High School

Given:lf = 79500 cal/kg,

lv = 540000 cal/kg,

c = 1000 cal/kg. degree C.

1 kg of ice at 0 degree C is converted to steam at 100 degree C.

How much heat is needed ? Answer in units of kcal.




786

Physics Heat & Thermodynamics Level: High School

latent heat of vaporization of water

2.26 x 10^6 J/kg .

A person who eats 2953 cal each day consumes 12361.3 J of energy in a day . How much water at 100 degree C could that much energy vaporize ? Answer in units of g .




785

Physics Heat & Thermodynamics Level: High School

Given: specific heat of water

1000 cal/kg degree C.

A mass of 3 kg of water is raised from 36 degree C to the boiling point 100 degree C . How much heat is required . Answer in units of cal .




784

Physics Heat & Thermodynamics Level: High School

Styrofoam container used as a picnic cooler contains a block of ice at 0 degree C . If 439 g of ice metals in 1 hour , how much heat energy per second is passing through the walls of the container ? (The heat of fusion of ice is 333000 J/kg). Answer in units of W .



783

Physics Properties Of Matter Level: High School

Solids

Suppose the ends of the rail are rigidly clamped at 0degreeC to prevent expansion . Calculate the thermal stress in the rail if its temperature is raised to 37degreeC . The Young modulus for steel is 20 x 10^10 N/m^2 . Answer in units of m .

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