A space station has an interior volume of 50m ^ 3 and at 25 °C it maintains an atmosphere of 10 ^ 5 Pa, which can be considered an ideal gas. If a 5mm diameter meteor makes a hole in the station wall, calculate:

a) the number of molecules that leave space per second.

b) the time in which the pressure would be reduced by 10% (for simplicity, suppose that the atmosphere contains only N2).

1.) Two charges, q₁ = -16.5 μC and q₂ = 13.5 μC , are located at (x,y) = (12.4, 21.2) cm and (19.6, 24.0) cm respectively. Find the electrostatic force between these two changes (take an attractive force to be negative)

2.)Two charges, q₁ =-16.1 μC and q₂ = 11.9 μC , are located along a straight line at x = 19.5 cm and 57.5 cm respectively. What is the electric field at a point P located at x = 35.1 cm?[Consider a field directed to the right as being positive]

3.) Two plates, separated by a distance of 15.0 cm, have a potential difference of 3.40×10³ between them, with the positive plate on the left. Calculate the electric field between the plate, taking as positive a field that points to the right.

4.) Two charges, q₁ = 34 μC and q₂ = 40 μC, are located along a straight line at x = 34 cm and 64 cm respectively. Where along the x-axis should a third charge of q₃ = -11 μC be located such that the net force on this charge is zero.

Consider the equation of Liouville.

a) Write the equation and explain its meaning with words, make sure all the variables and symbols are well defined.

b) Say what results are important for the validity of that equation.

A farsighted woman breaks her current eyeglasses and is using an old pair whose refractive power is 1.785 diopters. Since these eyeglasses do not completely correct her vision, she must hold a newspaper 42.00 cm from her eyes in order to read it. She wears the eyeglasses 2.00 cm from her eyes. How far is her near point from her eyes?

1.A bullet with a mass of 45 g is fired into a 8.3-kg block of wood resting on a floor against a spring. This ideal spring (k = 76 N/m) has a maximum compression of 28 cm. What was the initial speed of the bullet?

2.Two common and identical carts are used to perform an experiment. Cart A is pushed toward the stationary cart B with a velocity of 2.6 m/s. After the collision, cart A bounces back with a speed of 0.8 m/s and cart B moves of with a speed of 3.4 m/s. Why is this not possible?

Show that the normalization of wave function does not change with time, using time dependent Schroedinger equation.

Calculate the rate of change of x using Schroedinger's equation.

Asume the wave function Ψ(x) = A/(x²+a²) whith x real, A and a constants

a) find the normalized wave function Φ(p) un the momentum space associated to Ψ(x)

b) use Φ(p) yo compute the expected values for p, p², and σ_p

c) verify if this state fulfills the Heisenberg uncertainty principle

4 charges are fixed to the corners of a square of side .53 cm. Charge 1 of -1 uC is fixed to the top left corner. Charge 2 of -2uC is fixed to the top right corner, charge 3 of 3uC is fixed to the bottom left corner , and charge 4 of -4uC is fixed to the bottom right corner. a) find the magnitude and direction of the electric field at the center of the square b) find the potential at the center c) find the electric potential energy of the system.

One positive and one negative charges identical in magnitude are place near each other. At halfway between the two charges...

2) A racecar is driving at 40 m/s when a rabbit 100 m away runs across the track. It takes 0.8 seconds for the driving to slam on his breaks. If the car decelerates at 8.0 m/s², how much time does the bunny have to get out of the way?

A long isolating cylinder with radius R and a charge density

ρ(s) = 3λ πR3 (R − s) for s ≤ R , 0   for s > R ,

where λ is a fixed positive line charge density (with units C/m) and s denotes the distance from the center of the cylinder.

(a) Explain why the electric field is only a function of s. What is the direction of the electric field?

(b) Use Gauss’ law to derive the magnitude of the electric field as a function of s for s > R.

(c) Use Gauss’ law to derive the magnitude of the electric field as a function of s for s ≤ R.

(d) Compute the electric potential for all s > 0. Sketch the potential as a function of s.

A block with mass m₁ = 8.9 kg is on an incline with an angle θ = 31° with respect to the horizontal. For the first question there is no friction between the incline and the block.

1)When there is no friction, what is the magnitude of the acceleration of the block?

2)Now with friction, the acceleration is measured to be only a = 3.13 m/s². What is the coefficient of kinetic friction between the incline and the block?

3)To keep the mass from accelerating, a spring is attached with spring constant k = 157 N/m. What is the coefficient of static friction if the spring must extend at least x = 16 cm from its unstretched length to keep the block from moving down the plane?

4)The spring is replaced with a massless rope that pulls horizontally to prevent the block from moving. What is the tension in the rope?

5)Now a new block is attached to the first block. The new block is made of a different material and has a coefficient of static friction μ = 0.9. What minimum mass is needed to keep the system from accelerating?

please please help me please

A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.60 km/s in the +x-direction experiences a force of 2.10×10−16 N in the +y-direction, and an electron moving at 4.40 km/s in the −z-direction experiences a force of 8.30×10−16 N in the +y-direction. What is the magnitude of the magnetic field? What is the direction of the magnetic field? (in the xz-plane) θ= What is the magnitude of the magnetic force on an electron moving in the −y-direction at 3.30 km/s ? What is the direction of this the magnetic force? (in the xz-plane) θ=

I ask that you complete a project consisting of the following: (2) a 2 or 3 dimensional physical model of an inclined plane (ramp) including force vectors of the given problem. (1) a paper was written on the problem explaining the role of each force in the problem. The paper must include the equations and free body diagram of all forces acting on the system. Students should solve the equations for acceleration of the system while explaining each step taken The physical model Students should start this project by analyzing the motion of two boxes which are connected by a light string that passes over a pulley. One of the boxes is hanging from the string and the other one is resting on inclined plane that rises at angle θ. The mass of the hanging box is M, and mass of the box on the surface of inclined plane (ramp) is m. We consider that the system is moving up the plane at a constant acceleration a. The physical model can be built in 2 dimensions or 3 dimensions using light and stiff materials. All the force vectors should be movable and labeled correctly. The size of the vectors should be appropriate to the problem. The model should be presentable and at college level. Be creative! No excessive decoration: simple and meaningful.

I understand that this is a project, I would just like some guidance on how to set this up and what formulas to use to demonstrate what is being asked.