Once can set up a two-dimensional scattering theory which, Ask an Expert

Academics

Once can set up a two-dimensional scattering theory, which 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. Find 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.

View complete question

Physics, Academics

Category:- Physics
Reference No.:- M9648801

Have any Question?Write your Review or question?

Related Questions in Physics

After deploying her parachute a skydiver falls through the

After deploying her parachute, a skydiver falls through the air with a constant speed of 8.00 m/s . As she falls, there is a constant breeze blowing west at 2.50 m/s. At what angle from the downward vertical does the par ...

Question part a how long in ns does it take light to travel

Question: PART A: How long (in ns) does it take light to travel 0.800m in vaccum? Express your answer in the appropriate units PART B: What distance does light travel in water during the time that it travels 0.800m in va ...

Question a steel cable with mass is lifting a girder the

Question: A steel cable with mass is lifting a girder. The girder is speeding up. Part A Draw a free-body diagram for the steel cable. Draw the vectors starting at the black dots. The location and orientation of the vect ...

One cubic meter 100m3 of concrete has a mass of 230e3kg and

One cubic meter (1.00m^3) of concrete has a mass of 2.30E+3kg, and 1.00m^3 of copper has a mass of 8.92E+3kg. Find the radius of an concrete sphere whose mass is the same as that of an copper sphere of radius 1.28cm?

A ball rolls off a table with a horizontal velocity of 5 ms

A ball rolls off a table with a horizontal velocity of 5 m/s if takes 0.6 seconds for it to reach the floor a) what's the vertical component of the ball's velocity just before it hits the floor b) what's the horizontal c ...

1 evaluate 50000 107380 10-16 report 2 decimals for

1) Evaluate (5.0000 * 10^7)(3.80 * 10^-16). Report 2 decimals for result 2) 1,400 kg car moving at 7.0 m/s is stopped by action of it braces. The work done by the car braces is .....Joules. Response in 2 decimals. 3) The ...

Question a roller coaster car is going over the top of a

Question: A roller coaster car is going over the top of a 12-m-radius circular rise. At the top of the hill, the passengers "feel light," with an apparent weight only 60% of their true weight. How fast is the coaster mov ...

An object moves with constant acceleration 445 ms2 and over

An object moves with constant acceleration 4.45 m/s^2 and over a time interval reaches a final velocity of 10.0 m/s. If its original velocity is 5.00 m/s, what is its displacement during the time interval? What is the di ...

Question your physics textbook is sliding to the right

Question: Your physics textbook is sliding to the right across the table. Identify all forces acting on the object: A) Weight, Kinetic friction B) Thrust; Kinetic friction C) Normal force ; Weight ; Kinetic friction ; D) ...

Propane boilers are a common technology for domestic

Propane boilers are a common technology for domestic heating, and have a typical energy efficiency of 90%. The chemical formula of propane is C 3 H 8 , its lower heating value is 50,400 kJ/kg, and its carbon content by m ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Physics Expert