A molecule of mass 2.0×10-24Kg is moving along at a speed of 100±10 m/sec, where the...

A molecule of mass 2.0×10^-24Kg is moving along at a speed of 100±10 m/sec, where the ±10 m/sec is the statistical spread or uncertainty in the determination of its velocity or ∆v = 10 m/sec. The molecule is somewhat localized in space and is described by a travelling wave packet solution to the Schrödinger equation centered around x=0 at t=0 and moving in the positive x-direction.

What is the minimum statistical spread or uncertainty ∆x in the determination of its position?
What is the de Broglie wavelength of this molecule?
Determine the frequency f of this travelling wave packet.
Does the frequency f in part d) satisfy the relation λf = v with the given central value of v=100 m/s? Show your calculation.
Suppose this electron has a wavefunction given at time t=0 by Ψ(x,0) = Asin((2π/λ)x). What is the probability density at x=λ/4? (Write your answer in terms of A and λ.)

Expert Solution

genius_generous answered 2 years ago

1- Block 1 (mass 2.0 kg) is moving to right at speed of 5.0 m/s. It...

1- Block 1 (mass 2.0 kg) is moving to right at speed of 5.0 m/s. It collides with block 2 (mass 3.0 kg) that is moving to the right at speed of 3.0 m/s. a) What is the speed of the blocks if the collision is completely inelastic? How much kinetic energy is lost? (3.8 m/s, 2.4 J) b) What is the final speed of the blocks if the collision is elastic? (v1 = 2.6 m/s, v2 = 4.6 m/s)...

1. A toy car of mass 2.0 kg moving to the right with a speed of...

1. A toy car of mass 2.0 kg moving to the right with a speed of 8.0 m/s collides perfectly inelastically with another toy car of mass 3.0 kg that is moving to the left with a speed of 2.0 m/s. Find the magnitude and the direction of the velocity of the system Immediately after the collision. 2. In an elastic collision of two objects, a. momentum is not conserved. b. momentum is conserved, and the kinetic energy after the...

1) A ball 1 with a mass of 2.0 kg and moving at 2.0 m/s strikes...

1) A ball 1 with a mass of 2.0 kg and moving at 2.0 m/s strikes a glancing blow on a second ball 2 which is initially at rest. Assume no external forces act. After the collision, ball 1 is moving at right angles to its original direction at a speed of 3.0 m/s. (a) Calculate the initial momentum of the system. (b) Determine the magnitude of the momentum of Ball 2 after the collision? (c) In what direction is...

A ball, mass m1 = 0.1 kg, is moving upwards with a speed of 10 m/s...

A ball, mass m1 = 0.1 kg, is moving upwards with a speed of 10 m/s when it collides inelastically with a cup, mass m2 = 0.9 kg, that is initially at rest. After the collision the system (ball+cup) moves straight upwards without rotating. This collision occurs on Earth, and the local gravitational field points down with g = 9.8 m/s2 . (a) What is the momentum of the system before the collision? Write your final answers and neatly show...

When 100 mL each of 2.0 × 10-4 M Ca2+ and 2.0 × 10-2 M F-...

When 100 mL each of 2.0 × 10-4 M Ca2+ and 2.0 × 10-2 M F- are mixed, what is the remaining Ca2+ ion concentration ? The solubility product constant of CaF2 is 5.3 × 10-9. (Hint: Determine the limiting reactant, the concentration of excess reactant after precipitation, and how the concentration of excess reactant influences the solubility of CaF2).

A trooper is moving due south along the freeway at a speed of 33 m/s. At...

A trooper is moving due south along the freeway at a speed of 33 m/s. At time t = 0, a red car passes the trooper. The red car moves with constant velocity of 45 m/s southward. At the instant the trooper's car is passed, the trooper begins to speed up at a constant rate of 1.5 m/s2. What is the maximum distance ahead of the trooper that is reached by the red car? m

Two automobiles, each of mass 500 kg, are moving at the same speed, 10 m/s, when...

Two automobiles, each of mass 500 kg, are moving at the same speed, 10 m/s, when they collide and stick together. In what direction and at what speed does the wreckage move (a) if one car was driving north and one south; (b) if one car was driving north and one east thank you!!!

An object with mass m1= 3.00 kg is moving along the positive x-axis with a speed...

An object with mass m1= 3.00 kg is moving along the positive x-axis with a speed v1i=2 m/s straight towards two objects with masses m2= 2.00 kg and m3= 4.00 kg, which are initially at rest. When they collide, object 1 comes to rest and object 2 moves away with a speed of v2f=1.5 m/s at an angle of 50o from the incoming path of object 1. For everything that follows, use a coordinate system where the final path of...

A softball of mass 0.220 kg that is moving with a speed of 8.0 m/s (in...

A softball of mass 0.220 kg that is moving with a speed of 8.0 m/s (in the positive direction) collides head-on and elastically with another ball initially at rest. Afterward the incoming softball bounces backward with a speed of 6.4 m/s. (a) Calculate the velocity of the target ball after the collision. (b) Calculate the mass of the target ball

A truck with a mass of 1350 kg and moving with a speed of 12.0 m/s...

A truck with a mass of 1350 kg and moving with a speed of 12.0 m/s rear-ends a 821-kg car stopped at an intersection. The collision is approximately elastic since the car is in neutral, the brakes are off, the metal bumpers line up well and do not get damaged. Find the speed of both vehicles after the collision. vcar = ___________________ m/s vtruck = ____________________ m/s

Question