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A spherical shell has an outside radius of 2.55 cm and an inside radius of a. The shell wall has uniform thickness and is made of a material with density 4.69 g/cm^3. The space inside the shell is filled with a liquid having a density of 1.09 g/cm^3.
(a) Find the mass m of the sphere, including its contents, as a function of a.
(b) For what value of a does m have its maximum possible value?
(c) What is this maximum mass?
One mole of an ideal gas is heated so that T = AP2, where A is a constant and P is the pressure. The temperature changes from T0 to 4T0. Find out the work completed by the gas. (Use the following as necessary: T0, P0, and V0.)
What is your displacement after running 2 {rm km} on Strawberry Fields, 1.6 {rm km} on Penny Lane, and 4.8 {rm km} on Abbey Road.
Consider a hot-air balloon. The deflated balloon, gondola, and two passengers have a combined mass of 315 kg, Then find the temperature of the air inside the balloon
A 3.00kg stone is tied to a thin, light wire wrapped around the outer edge of the uniform 8.00kg cylindrical pulley, Find the angular acceleration of the pulley
Consider a 10-kg block resting on a frictionless plane inclined 30 o connected by a rope through a pulley to a 10-kg block hanging free. What is the direction and magnitude of the resulting acceleration of the 2-block system?
Consider a balloon containing nitrogen molecules at room temperature (20°C) and atmospheric pressure. what is the number of molecules in the balloon
A 250g steel ball and a 500g steel ball each hang from 3.0-m-long strings. At rest, the balls hang side by side, barely touching. To What angle does each ball rebound
Water is in the big beaker. Scale 1 reads 87 newtons, scale 2 reads 948 newtons, and scale 3 reads 0 newtons. The hanging block has a density of 10 × 10^3 kg/m3. To the nearest tenth of newton what does scale 1 read after the block is fully lowere..
Consider a 60 W light bulb with a 2.0m long tungsten filament connected to a 120V source, Determine the resistance of the filament
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Find out the final speeds of the two objects. What is the angle at which the object with mass 3m is scattered?
An electron and a proton each have a thermal kinetic energy of 3×kBT/2. Compute the de Broglie wavelength of each particle at the temperature of 2050 K. (kb is Boltzmann's constant, 1.38×10-23 J/K).
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