A helium-filled toy balloon has a gauge pressure of 0.350 atm and a volume of 8.0 liters. How much greater is the internal energy of the helium in the balloon than it would be at zero gauge pressure?__________J

Please show all work to get credit.

A photographic slide is to the left of a lens. The lens projects an image of the slide onto a wall 7.00 m to the right of the slide. The image is 73.5times the size of the slide.

(a) How far is the slide from the lens?
________ m

(b) Is the image erect or inverted?

erectinverted    

(c) What is the focal length of the lens?
_______ m

(d) Is the lens converging or diverging?

convergingdiverging   

7) While pushing a cart across a floor, Andrea and Jennifer exert forces ?? and ?? on the cart. Andrea’s

force is due north with a magnitude of 130.0 N and Jennifer’s force is 32° west of north with a magnitude of 180.0 N. (a) Find the net force in component form. (b) Find the magnitude and direction of the net force. (c) If Andrea and Jennifer’s housemate, David, disagrees with the move and wants to prevent its relocation, with what force should he push with so the cart does not move? (assume there is not friction on the cart)

8) A car with a mass of 1000.0 kg accelerates from 0 to 90.0 km/h in 10.0 s. (a) What is its acceleration? (b) What is the net force on the car?

9) A body of mass ? moves in a horizontal direction such that at time t its position is given by
?(?) = ? cos(?? + ?) where ?, ?, and ?are constants. What is the time dependent force acting on the body

Calculate the curls of: ? ×V~ = [?yVz ??zVy] xˆ +[ ?zVx ??xVz] yˆ+ [?xVy ??yVx] zˆ  

(b) V= y xˆ + z yˆ + x^2 zˆ

The magnitudes of F1, F2 and F3 are 300, 190 and 250 N, respectively. F1 is directed on the slope m =
0.6 m/m. F2 is directed alpha = 0.17 radians from F1. F3 is directed beta =123 degrees from F2.
Determine the direction of the Resultant in degrees measured counter-clockwise from the + x-axis.

A car initially traveling at 40 m/s runs out of gas while traveling up a slope. It coasts for a distance of 500 m before it starts to roll back down.

a. What is the acceleration of the car?

b. What is the angle (incline) of the slope?

c. How long does it take after the car runs out of gas before it starts to roll back down?

d. Once the car starts rolling backwards, how long does it take before it passes its starting point, 500m down the slope?

We wish to coat flat glass (n = 1.50) with a transparent material (n = 1.31) so that reflection of light at wavelength 500 nm is eliminated by interference.

(a) What minimum thickness can the coating have to do this?

(b) What is the next thickness for which destructive interference would occur?

One form of nuclear radiation, beta decay, occurs when a neutron changes into a proton, an electron and a neutral particle called a neutrino. When this change happens to a neutron within the nucleus of an atom, the proton remains behind in the nucleus while the electron and neutrino are ejected from the nucleus. The ejected electron is called a beta particle. One nucleus that exhibits beta decay is the isotope of hydrogen ³H, called tritium, whose nucleus consists of one proton (making it hydrogen) and two neutrons (giving tritium an atomic mass m = 3u). Tritium is radioactive, and it decays to helium.

Suppose an electron is ejected from a ³H atom, which has a radius of 1.000×10^-14 m. The resulting ³He atom has the same radius as the ³H atom. What is the escape velocity of the electron ejected from the process?

Note: Your answer may be larger than the speed of light which is okay in this scenario.

with a velocity v = 4.6i m/s. It the strikes the six ball, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of θ = 26° and the six ball is deflected by an angle of Φ = 35°, as shown in the figure.

Part (a) Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude of the eight ball's initial velocity, v.

Part (b) What is the magnitude of the velocity, in meters per second, of the six ball?

Part (c) What is the magnitude of the velocity of the eight ball, in meters per second, after the collision?

A ball of mass, m is thrown straight up and rises h after leaving your hand, it momentarily stops. Acceleration due to gravity g is downward. Ignore air resistance.

Part A (5 points): If the ball is the system, and the Earth is the surroundings, what is the change in potential energy, ΔUsys of the system, and what is the work done, Wsurr by the surroundings ?

Δ Usys = 0; Wsurr = -mgh

Δ Usys = mgh; Wsurr = -mgh

Δ Usys = mgh; Wsurr = 0

Δ Usys = 0; Wsurr = 0

Δ Usys = -mgh; Wsurr = 0

Part B: If the ball + Earth is the system, and nothing is in the surroundings, what is the change in potential energy, ΔUsys of the system, and what is the work done, Wsurr by the surroundings ?

Δ Usys = 0; Wsurr = 0

Δ Usys = mgh; Wsurr = -mgh

Δ Usys = mgh; Wsurr = 0

Δ Usys = 0; Wsurr = -mgh

Δ Usys = -mgh; Wsurr = 0

how fast is the sun orbiting the center of the milky way? the revolution period is 230 million years. assume that the sun is 2/3 of the distance towards the edge of the milky way and the milky way is a galaxy of a typical size of a 100000 light years across. answer in Km/. speed of light is 300000 km/s

At a particular location < 1.6, -2.5, -3.7 > m in the room there is an electric field E= <3400, 0, 0> N/C. Figure out where to place a single positive point particle of charge +6 µC in order to produce this electric field

The D-string on a particular violin has a linear density of 1.26 × 10^-3 kg/m. The distance between the nut and the bridge, between which the string is stretched, is 0.308 m. If the fundamental frequency is 291 Hz, what is the tension in the string?

An organ pipe is open at both ends and has a length of 1.52 m. What is the fundamental frequency of this pipe?

Two violins play notes of 496 Hz and 503 Hz. When a third violin plays along with the 496-Hz note, a beat frequency of 3 Hz is detected. When the third violin plays along with the 503-Hz note, a beat frequency of 10 Hz is detected. What is the frequency being played by the third violin?

John is holding a tuning fork that is creating a 677-Hz sound. Jack holds an identical tuning fork that is creating the same frequency sound. If John starts walking toward Jack at a speed of 3.88 m/s, what is the beat frequency detected by Jack?

Two asteroids collide in space. The collision is not completely inelastic--the asteroids pull apart and continue on their way. Their masses are 8.7 X 10⁸ kg for Asteroid A and 3.4 X 10⁸ kg for Asteroid B. Treat Asteroid A as being initially at rest. Asteroid B, moving at high speed, strikes Asteroid A and moves from the collision at a speed of 7300 m/s in a direction 48 degrees from its original path. Meanwhile, Asteroid A moves away from the collision at a spee of 4400 m/s at an angle of 27 degrees from the original path of Asteroid B, but in the opposite direction, of course. Assume no significant amount of mass is lost in the collision (a definite oversimplification).

a) Find the initial momentum, and from it the original speed, of Asteroid B before the collision.

b) How much kinetic energy was lost in the collision?

You sometimes create a spark when you touch a doorknob after shuffling your feet on a carpet. Why? The air always has a few free electrons that have been kicked out of atoms by cosmic rays. If an electric field is present, a free electron is accelerated until it collides with an air molecule. It will transfer its kinetic energy to the molecule, then accelerate, then collide, then accelerate, collide, and so on. If the electron