An object of mass 2 kg travelling in a straight line with a velocity of 20m/sec collides with, and strikes to, a stationary object of mass 3 kg. They both move off together in the same straight line with a velocity of v m/sec. If no external forces are acting calculate
a. the total momentum just before the impact
b. the tot

A 50 g ball of putty moving with a velocity of 3.0 ms has an inelastic collision head on with a stationarymass of 50 g and sticks to it. Find the velocity of the stationarymass and the putty after the collision.

Question 1
Suppose that {Y_t} is stationarywith autocovariance function ?_k.
a) Show that W_t=?Y_t=Y_t-Y_(t-1) is stationary by finding the mean and autocovariance function for {W_t} .
b) Show that U_t=?^2 Y_t=?[Y_t-Y_(t-1) ]= Y_t-2Y_(t-1)+Y_(t-2) is stationary. (you need not find the mean and autocovariance function for

(Please see attached figure)
The uniform 32.0 mT magnetic field in the figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 5.50 * 10^6 m/s and at an angle of 30 degrees above the xy-plane.
1. Find the radius r of the electron's spiral trajectory.
2. Find the pitch

A surface is described by the multivariable function f(x,y) where:
f(x,y) = x^3 + y^3 + 9(x^2 + y^2) + 12xy
a) Show that the four stationary points of this function are located at:
(x1, y1) = (0, 0)
(x2, y2) = (-10, -10)
(x3, y3) = (-4, 2)
(x4, y4) = (2, -4)

The energies, E, for the first few states of an unknown element are shown here in arbitrary units.
n 1 2 3 4 ... ?
E -11 -5 -2 -1 ... 0
A gaseous sample of this element is bombarded by photons of various energies (in these same units).
Match each photon to the result of its absorption (or lack thereof) by an n=1 electron

A block of mass m1 moving with speed v1 undergoes a completely inelastic collision with a stationary block of mass m2. The blocks then move, stuck together, at speed v2. After a short time, the two-block system collides inelastically with a third block, of mass m3, which is initially stationary. The three blocks then
move, stu

An electron with velocity 4.00×10^6 m/s enters in a magnetic field which is perpendicular to the velocity. A magnetic force 5.50×10-4 N acts on the electron and force it to move on a circular trajectory. The frequency of the electron's circular motion is called cyclotron frequency. Find the value of the cyclotron frequency. (H

For the following problems, the answers are given. Show the calculations to arrive at the correct answers.
1. 1200 kg car moving to the right with a speed of 25m/s collides with a 1500 kg truck and locks bumpers with the truck. Calculate the velocity of the combination after the collision if the truck is initially (a) at res