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Expanding ideal gas

A sample of ideal gas is expanded to twice it original volume of 1.00m^3 in a quasi-static process for which P = alpha*V^2, with alpha = 5.00atm/m^6. How much work is done on the expanded gas? I know that work is the integral of - PdV but I can't seem to get the right answer. Can you help?

Buoyant force and surface value

Derive an expression for the buoyant force on a spherical balloon, submerged in water, as a function of the depth below the surface, the volume of the balloon at the surface, the pressure at the surface, and the density of the water. At what depth is the buoyant force half the surface value? I know that the Buoyant force is

Shooting the Breeze- Obtaining the Theta Angle

A student throws rocks from the roof of a building. All of the rocks are thrown with the same initial speed v_0 and from the same initial height y_0, but they are thrown with different angles with respect to the horizontal. Derive an expression for theta_1, the angle at which the rock will land if thrown horizontally. Express yo

Mass converted per hour, speed of alpha particle

1. A certain nuclear power plant is capable of producing 1.0 X 10^9 W of electric power. During operation of the reactor, mass is converted to energy. How much mass is converted per hour if the efficiency of the plant is 30%? 2. What must be the speed of an alpha particle that has the same momentum as a neutron traveling with

Unwinding Cylinder

Please do not place your response in a .pdf format, but Word documents are okay. Thanks! A cylinder with moment of inertia I about its center of mass, mass m, and radius r has a string wrapped around it which is tied to the ceiling. The cylinder's vertical position as a function of time is y(t). At time t=0 the cylinder is

Recoil Velocity of Polonium Nucleus after Alpha Decay

The nucleus of the polonium isotope 214Po (mass 214 u) is radioactive and decays by emitting an alpha particle (a helium nucleus with mass 4 u). Laboratory experiments measure the speed of the alpha particle to be 1.59*10^7 m/s . Assuming the polonium nucleus was initially at rest, what is the recoil velocity of the nucleus that

Mechanics, sliding box problem

A square block of side h and mass m is on an inclined hill of angle alpha. The coefficient of static friction between the block and the hill is us. Derive conditions for which the block will slip or tip.

Decay by Alpha and Beta Particle Emission

1) An atom of an element with an atomic number of 95 and a mass number of 241 undergoes decay by emission of an alpha particle. What are the atomic number, mass number and name of the product atom? 2) An atom of 63Ni undergoes loss of a beta particle. What are the atomic number, mass number and name of the product atom?

Radioactive Decay Series

A radioactive decay series that begins with 237/93 Np ends with formation of the stable isotope 209/83 Bi. How many alpha particle emissions and how many beta particle emissions are involved in the sequence of radioactive decay?

Atomic spectra

In a Rutherford scattering experiment, an alpha particle (charge = +2e) heads directly toward a gold nucleus (charge = +79e). The alpha particle has a kinetic energy of 5.0 MeV when very far (r to infinity) from the nucleus. Assuming the gold nucleus to be fixed in space, determine the distance of the closest approach. Use co

General Motion

Please see attachments for question. Please use i, j and k vector coordinates in solving if possible.

Calculation of Force of Interaction

Two hydrophobic glass slides measuring 1 cm x 1 cm x 1 mm are floating on water with their sides parallel to each other. Estimate the force of interaction between the solids as a function of their separation distance. Assume that the intrinsic contact angle of the water is 110 degrees. What I mean by the intrinsic contact a

pH, Decay, Temperature Questions

1. The critical temperature of a substance is the a) temperature at which the vapor pressure of liquid is equal to the external pressure b) temperature at which the vapor pressure of the liquid is equal to 760mm Hg. c) temperature at which the solid liquid in vapor phases are in equilibrium d) temperature at which the liqu

Elastic collision

A block of mass m = 2.32 kg slides down an alpha = 29.2° incline which is h = 3.56 m high. At the bottom, it strikes a block of mass M = 7.06 kg which is at rest on a horizontal surface (see drawing in attached Word document). If the collision is elastic, and friction can be ignored, determine the velocity of the smaller block


Pu decays by alpha emission. The isotope's half-life is 2.4 x 10(exponent 4) yr. How many alpha particles are emitted per second by 25mg of Pu?

Electricity and magentism questions.

This is for Jhansi, Utter Pradesh, India OTA ID#103642 ONLY no others please.... Here are all the questions 1.After bungee jumping off a bridge, a person begins to swing as a pendulum, the rope being 77m long. The person's speed is 14m/s as it passes through it lowest point. A). Find the height to which it rises above thi