Classical Mechanics Answers

Determine the magnitude of an electric field at r=0.01 m from the center of non-conducting sphere with a radius of R=0.001m possessing a charge of 7C which evenly distributed throughout the sphere. (r>R).

Solve for the electric flux that acts on a uniform electric field with a magnitude of 8000N/C approximately passes through a 10m^2 flat surface area.

a molecules of oxygen possess a charges of -2C and 2C separated from a distance of 0.2m. Calculate the dipole moment in this condition.

The depth of the crater of a Volcano was calculated in the following manner. From a helicopter flying vertically upwards at 20 feet per second, a small bomb was released at the instant the helicopter was 120 feet above the crater surface. The sound of the explosion was heard 9 seconds later. The speed of the sound is 1000 fps. What is the depth of the crater in feet?

The elevator in an office building, starting from rest at the first floor, is accelerated 0.75 m/sec2 for 5 secs. It continues at constant velocity for 12 secs more and is then stopped in 3 secs with constant deceleration. If the floors are 3.75m apart, at what floor did the elevator stop?

Explain Hamilton's equation of motion in terms of Poisson's brackets.

What is meant by cyclic co-ordinate? Show that generalized momentum corresponding to a cyclic co-ordinate of conservative system is conserved.

A plane which is flying horizontally at a constant speed Vo and at a height h above the sea must drop a bundle of supplies to a castaway on a small raft. Write down newtons second law for the bundle as it falls from the plane, assuming you can neglect air resistance.

A point equilibrium is reached by three forces as in the diagram below. Force F1 has components 15N due south and 13N due west. What are the components of force F2?

A cube of mass 10 kg is at rest on a horizontal surface when it is subjected to a horizontal force P that varies with time t as P = 20t. If the static and kinetic coefficients of friction are both 0.4, calculate the velocity of the cube after 5 s.