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Four capacitors are connected as shown in the figure. What is the equivalent capacitance of the system?

A duck has a mass of 2.5 kg. As the duck paddles, a force of 0.10 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.20 N in a direction of 52^o south of east.

1. Determine the net force on the duck.
2. Determine the acceleration of the duck.

Your friend shines a laser beam at you while flying towards you in a spaceship at 100 kilometers per second. You measure the speed of the laser beam to be 300000 kilometers per second. How fast would the laser beam move towards you if your friends spaceship was stationary (in kilometers per second)?
 

The 95 kg man and the 750 N scaffold are supported by cables with tensions T₁ and T₂. Determine (a) T₂, (b) θ, and (c) T₁.

A horizontal spring with a spring constant of 20.0 N/m is attached to a 0.750 kg mass on a horizontal, frictionless table. The mass is pulled until the spring is stretched to 10.0 cm, then released at time t = 0 s.

a. What is the angular frequency, frequency, and period of the oscillation?

b. What is the amplitude of the motion?

c. At what time will the mass first pass the equilibrium position?

d. At what position is the block after 1.00 seconds?

e. How fast is it going when it passes the equilibrium position?

f. How fast is it going at 2.00 seconds?

g. How fast is it going when it is at the halfway point to the equilibrium position?

h. At what position is it going 0.250 m/s?

i. What is the total mechanical energy of the block?

j. At what position is the energy evenly split between kinetic and spring potential energy?

The position-time equation for a certain train is x_f=2.8m+(8.8m/s)t+(2.3m/s²)t². What is the acceleration?

Three resistance are connected with switch S. Initially the switch S is open. When the switch is closed find the current passed through it.

Two astronauts are launched in the same space capsule. One astronaut has a much greater mass than the other astronaut. After completing just one orbit, the astronauts make an emergency return to earth. If the astronauts were forced to jump from the capsule, which astronaut will reach the ground first? Explain.

Two small plastic spheres are given positive electrical charges. When they are 15.0 cm apart, the repulsive force between them has a magnitude of 0.220 N. What is the charge on each sphere a) if the two charges are equal and b) if one sphere has four times the charge of the other?

A copper wire has a square cross-section, 2.0 mm on a side. It carries a current of 8 A and the density of free electrons is . What is the drift speed of the electrons?

What force must be applied to a 15 kg to accelerate it at 3.2 m/s²?

An elevator lifts a 400 kg alien slug to a height of 60 m on a planet much like earth. The elevator lifts the slug in 20 seconds. Determine the power necessary for the elevator to lift the slug?

Draw the free body diagram of the object on which the following forces are acting. Find the net force on that object.

How to calculate the magnitude and resultant forces?

A brick is thrown upward from the top of a building at an angle of 25° to the horizontal and with an initial speed of 15 m/s. If the brick is in flight for 3.0 s, how tall is the building?

A bullet is shot horizontally from a gun. If the bullet speed as it exits the muzzle is 325 m/s and the gun is 2.0 m above the ground

a. How long was a bullet in the air for?

b. How far did the bullet travel horizontally before it hit the ground?

c. What is the final velocity of the bullet?

A simple harmonic transverse wave is propagating along a string toward the left (or – x) direction. Shown to the right is a plot of the displacement as a function of position at time t = 0 s. The string tension is 3.6 N, and its linear mass density is 25 g/m.

(a) What is the amplitude?

(b) What is the wavelength?

(c) What is the period?

(d) What is the wave speed?

(e) What is the maximum speed of a particle in the string?

(f) Write an equation describing the traveling wave.

In the Laws of Elasticity, Why it's been referred or Expressed in terms of Stress and Strain? 

What is the polarization of electromagnetic waves?

The answer is D - the book vaguely explains that due to symmetry the current through R3 would never exist. Can you explain more in depth, as to why? What properties, or like the loop rule or something?