11th Physics important numerical question
- A ballet dancer spins 2.4 rev/s with her arms outstretched, when the moment of inertia about the axis of rotation is l. With her arms folded, the moment of inertia about the same axis becomes 0.61. Calculate the new rate of spin.
- A canoe has a velocity of 0.40 m/s southeast relative to the earth. The canoe is on the river that is flowing at 0.50m/s east relative to the earth. Find the velocity (magnitude and direction) of the canoe relative to the river.
- The sun has mass 330000 times that of the earth. For a person on the earth, the average distance to the center of the sun is 23,500 times the distance to the centre of earth. In magnitude, what is the ratio of the sun's gravitational force on you to the earth's gravitational force on you?
- Castor oil at 20°c has a coefficient of viscosity 2.42 N.s/m^2 and the density 940kg/m^3. Calculate the terminal velocity of a steel ball of radius 2.0 mm falling under gravity in the oil taking the density of steel as 7800 kg/m^3.
- A ball of copper of specific heat capacity 400 J kg^-1 K^-1 weighing 400 g is transferred from a furnace to 1 kg of water at 20°c. The temperature of water rises to 50°c . What is the original temperature of the ball?
- An ideal gas initially at 4.00 atm and 350 K is permitted to expand adiabatically to 1.50 times its initial volume .Find the final pressure and temperature if the gas is (a) monatomic, (b) diatomic with cb=(5/2)R
- At what temperature with the average speed of oxygen molecule be sufficient so as to escape from the earth? Escape velocity from the earth is 11.2 km/s and mass of one oxygen molecules is 5.34*10^-26 kg.
- A microscope is focused on the upper surface of a glass plate. A second plate is then placed over the first. In order to focus on the bottom surface of the second plate, the microscope must be raised another 1mm . In order to focus on the upper surface , it must be raised another 2mm. Find the index of refraction of the second plate.
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