A posterior capsulotomy is a non-invasive laser procedure to eliminate the cloudiness that occasionally interferes with a patient's vision after cataract surgery. For this procedure a Nd:YAG laser with pulse duration of 30 ns is focused to 50 – 100 µm in diameter on the posterior capsule to cut a thin membrane which has become cloudy over time. Estimate the pulse energy necessary to achieve optical breakdown during this treatment, because otherwise all laser energy will be absorbed by the retina and other tissues lying underneath.

Q1) Two identical pucks collide on an air hockey table. One puck was originally at rest. If the incoming puck has a speed of 6.50 m/s and scatters to an angle of 30.0º,what is the speed of the second puck after the collision?

(You may use the result that θ₁−θ₂=90º for elastic collisions of objects that have identical masses.)

Q2)A block of mass m = 3.0 kg, moving on a frictionless surface with a speed 2.9 m/s makes a perfectly elastic collision with a block of mass M at rest. After the collision, the 3.0 kg block recoils with a speed of 0.8 m/s. In Fig. 1, the mass M (in kg) is closest to:

I have a slater determinant question.Please describe the concept of slater determinant. Describe in detail what purpose, which systems are used, on an example.

Two cars start from rest at a red stop light. When the light turns green, both cars accelerate forward. The blue car accelerates uniformly at a rate of 4.7 m/s² for 3.8 seconds. It then continues at a constant speed for 8.7 seconds, before applying the brakes such that the car’s speed decreases uniformly coming to rest 212 meters from where it started. The yellow car accelerates uniformly for the entire distance, finally catching the blue car just as the blue car comes to a stop.

1. How fast is the blue car going 2.7 seconds after it starts?

2. How fast is the blue car going 10.2 seconds after it starts?

3. How far does the blue car travel before its brakes are applied to slow down?

4. What is the acceleration of the blue car once the brakes are applied?

5. What is the total time the blue car is moving?

6. What is the acceleration of the yellow car?

A body with mass 95 kg moves with acceleration 2 m/s^2 under action of some force. What would be acceleration of a body with mass 10 kg if the same force would act on it?

A skilled volleyball player uses elbow motion (as well as shoulder motion) in a jump serve. With her shoulder positioned and maintained in flexion (about 100 degrees), a server initially starts the preparatory phase by flexing the elbow. At this time, the angular velocity of the elbow is 800 deg/s in flexion (positive) direction. As the server moves to strike the ball, the elbow undergoes extension, and immediately before the strike with the ball, the elbow’s angular velocity is 1500 deg/s in extension (negative direction). This change in angular velocity at the elbow joint occurs in 0.3 seconds. Which of the following statements is/are true about the angular acceleration of the elbow joint? Select statement(s) that is/are true. [1 pt.]

Group of answer choices

The elbow's angular acceleration is a positive value

The elbow's angular acceleration is a negative value

The elbow joint movement is speeding up

The elbow joint movement is slowing down

Show Klein- Gordon Equation have Negative probability and Negative Energies!
Detailed Explanation please!
what steps should be taken in general to check for any theory or equation?

what is the gravitational acceleration ON the surface of Mars, if its mass is 6.39∙1023 kg, and the
radius is 3.39∙106 m? (b) How many times is this acceleration greater than the gravitational
acceleration at the location OF Mars, provided by the Sun (mass of the Sun is 1.99∙1030 kg, and the
radius of Mars’ orbit is 2.28∙1011 m)? (c) If it takes Mars 687 days to complete one revolution around
the Sun, calculate Mars’ tangential and the angular velocity

A vertical spring with k = 490 N/m is standing on the ground. You are holding a 5.8 kg block just above the spring, not quite touching it.

(a) How far does the spring compress if you let go of the block suddenly?
m

(b) How far does the spring compress if you slowly lower the block to the point where you can remove your hand without disturbing it?
0.116 m is the answer I got and know how to get

(c) Why are your two answers different?

I think it is because one of them includes kinetic energy and the other doesn't

PLEASE USE MY VALUES AND EXPLAIN ANSWER! Do not answer if you are not sure...

1) Suppose you have particle on a ring with the wavefunction1:

?_m(?) = 1/(sqrt(2pi)) * e^(im(?))

(m = 0, ±1, ±2, …)

a. Do you know anything about where the particle is on the ring? Does

m matter in this determination?

b. Do you know the angular momentum exactly?

2) Suppose the same particle were described with the wavefunction2:

?_m (?) = 1/(sqrt(2pi)) * cos (m?)

(m = 0, ±1, ±2, …)

c. Now do you know anything about where the particle is on the ring?

Does m matter in this?

d. Do you know the angular momentum exactly?

e. Re-write your wavefunction2 in terms of exponential functions and

use this to explain your answer to d.

Describe the fundamental physics of the erosion of creek beds in function of the radius of the particle.

A horizontal 808-N merry-go-round is a solid disk of radius 1.54 m, started from rest by a constant horizontal force of 50.9 N applied tangentially to the edge of the disk. Find the kinetic energy of the disk after 3.08 s.

Answer all questions in the space provided. For each problem, label all parts, show equation, substitution (with units), and answer (with units, scientific notation, rounded to 3 significant figures).

4. A string is attached between two barriers which are separated by 2.0 m. The speed of waves on the string is 150 m/s.

1. Find the wavelength 1^st harmonic of a standing wave generated between these two barriers.
2. Find the frequency 1^st harmonic of a standing wave generated between these two barriers.
3. Find the wavelength of 5^th harmonic.
4. Find the frequency of 5^th harmonic.

The speed of sound in air is 343 m/s.

1. Find the following for a 2 m wavelength sound wave.
   1. The frequency.
   2. The period.

three charged particles are placed at the corners of an equilateral triangle of side 1.20m. the charges are q1 =3.0 q2=-.85uc and q3= -6.0uc. Calculate the magnitude and direction of the net force on each s
ide due to the other two. assume the +x axis points to the right that is from q2 to q3.

q2 to q3 is along x axis q1 is above it.

please show steps.

Calculate what the Sun's rotation period should be so that its deviation from a perfect spherical symmetry was 1%.