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A model of the stretching vibrations of a polyethylene chain may be made by considering a linear chain of identical masses M connected by springs of alternating force constants C1 and C2. Calculate the characteristic frequencies of such a chain is the repeat distance is a and the force constants are related according to C1 = 5C2. Obtaining values for w (omega) as k -> 0 and k -> pi/a, sketch the dispersion curves for the optical and acoustic branches of the vibration spectrum.
A light bulb is placed at a distance of 15 cm in front of a convex mirror with a radius of curvature of 40 cm. Where is the image of the light bulb
A small metal bead, labeled A, has a charge of 29 . It is touched to metal bead B, initially neutral, so that the two beads share the 29 charge, but not necessarily equally. When the two beads are after that placed 5.0 apart, the force between the..
Two charges are placed on the x axis. One of the charges q1= +8.5 C is at x1 = + 3.0 cm and the other q2= -21C is at x1 = + 9.0 cm. Find the net electric field (magnitude and direction) at.
Describe the unique behavior of water (thermal expansion and specific heat capacity) that make it essential for life on Earth. 5-8 sentences
A certain EM wave has a wavelength of 4 X 10 ^-7 m and a speed of 2.5 X10^8 m/s in a partcular material ( not a vacuum). what is the wavelength of this wave in a vacuum
A 120 kg barrel which is initially at rest is rolled down an inclined plane. The friction between the barrel and the surface of the plane is negligible, calculate the barrel's velocity when it reaches the ground level
What was the initial speed of the arrow. A block with mass m = 19.7 kg slides down an inclined plane of slope angle 35.8 deg with a constant velocity. It is then projected up the similar plane with an initial speed 1.05 m/s. How far up the incline w..
You are pushing a 150-kg wooden crate in a straight line a distance of 4.5 m across a wooden floor at constant speed. What is the work done by friction on the crate
The cable below supports a unoformly distributed load. The max tension that the cable can withstand is 41 x 10^6 N, What minimum length of cable is needed
A 11.9-g mass is suspended 1.47 cm above a nonconducting flat plate, directly above an embedded charge of q. If the mass has the same charge, q, how much must q be so that the mass levitates (just floats, neither rising nor falling)? If the charge..
The motor of a ski boat generates an average power of 5.94 × 104 W when the boat is moving at a constant speed of 18.8 m/s. What is the tension in the tow rope that is pulling the skier
Submarines control their buoyancy using ballast tanks. To sink the tanks can be flooded with water and to rise compressed air can be fed into the tanks to expel the water, lowering the density of the sub.
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