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Q. Once can set up a two-dimensional scattering theory that could be applied to puck projectiles sliding on an ice rink and colliding with various target obstacles. The cross section (sigma) would be the effective width of a target and the differential cross section d(sigma)/d(theta) would give the number of projectiles scattered in the angle d(theta). a) Show that the two dimensional analog is d(sigma)/d(theta)=absolute value of (db/dtheta). Note that in two dimensional scattering it is convenient to let theta range from -pi to pi. b)Now consider the scattering of a small projectile off a hard "sphere"(actually a hard disk) of radius R pinned down to the ice. Determine the differential cross section. (Note that in two dimensions, hard "sphere" scattering is not isotropic.) c) By integrating your answer to part b, show that the total cross section is 2R as expected.
A ranger in a national park is driving at 28.0 mi/h when a deer jumps into the road 225 ft ahead of the vehicle. After a reaction time t, the ranger applies the brakes to produce an acceleration of a = -9.00 ft/s2. What is the most reaction time a..
Liquid nitrogen has a boiling point of 77.3 K and a latent heat of vaporization of 2.01 105 J/kg. A 60.0-W electric heating element is immersed in an insulated vessel containing 46.5 L of liquid nitrogen at its boiling point. How various kilograms of..
In a cathode-ray tube, a beam of electrons is projected horizontally with a speed of 1.0x10^9 cm/s into a region between a pair of horizontal plates 2.00 cm long.
The radius of the tires on your car is 0.33m. You drive 1400 m in a straight line. What is the angular displacement of a point on the outer rim of a tire, around the center of tire, during this trip? Suppose the tire rotates in the counter clockwise ..
An archer shoots an arrow horizontally at a target 17m away. The arrow is aimed straight at the center of the target, but it hits 59cm lower.
What is the main possible displacement of the shopper
A toy cork gun contains a spring whose spring constant is 10.02 N/m. The spring is compressed 5.0 cm and then used to propel a 6.00 g cork. The cork, however, sticks to the spring for 1 cm beyond its unstretched length before separation occurs. The m..
A sound source emits sounds of frequency 190 Hz that travel by still air at 340 m/s. The listener moves at 75 m/s relative to still air toward the stationary source. What is the wavelength of the sound between source and listener.
Consider an infant who weighs 100 newtons. During each year she grows so that each dimension of her body increases by 5%. How much would she weigh then.
A metal block of mass m slides on a horizontal surface that has been lubricated with a heavy oil so that the block suffers a viscous resistance that varies as the 3/2 power of the speed F(v)=-cv^3/2. If the initial speed of the block is v0 at x=0,..
A man in search of his dog drives first 10mi northeast, then 54mi straight south, and finally 6mi in a direction 30° north of west. What are the magnitude and direction of his resultant displacement.
Television sets sometimes use a rabbit ears antenna to the right. A rabbit-ears antenna consists of a pair of metal rods. The length of each rod can be adjusted to one quarter of the wavelength of an electromagnetic wave whos frequency is 125 Mhz...
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