A construction worker riding an open elevator is moving upward with a speed of 6.0 m/s. When he is 42 m above the ground he accidentally drops a hammer. What are the maximum height reached by the hammer, the time it takes for the hammer to fall to the ground and speed of the hammer when it hits the ground? Please answer all parts, thank you!

a) Jupiter's satellite orbits the planet on a nearly circular path with a radius of 420,000 km and completes its orbit every 1.769 days. Use Newton's universal law of gravitation to find the mass of Jupiter.  

b) Knowing Jupiter's mass, and that it orbits the Sun on the average (it has an elliptical orbit with an eccentricity of 0.05) at 7.8×10⁸ km from the Sun in 11.86 years, what is its angular momentum?

c) Compare Jupiter's orbital angular momentum to the angular momentum of the rotating Sun, which is a spinning sphere of radius 695,700 km and mass 1.99×10³⁰ kg that completes a turn in 25 days

1. An observer (O) is standing on a long tunnel that has a rest length of 12 c^.µs.  O sees a long train that he measures to be 12c^.µstravel through the tunnel at a speed of 0.600c. The front and back of the tunnel are mounted with strobe lights so that when the front or end of the train reaches the end of the tunnel the light flashes.  So we have 4 events (flashes).

Event 1:  Front of train enters tunnel.

Event 2:  Front of train exits tunnel.

Event 3:  End of train enters tunnel.

Event 4:  End of train exits tunnel.

1. With the first event being (x=0, t=0) list the xand tcoordinates of each event in O’s IRF.
2. For an observer moving with the train (),what is the length of the train and what is the length of the tunnel?
3. With the first event being (x’=0, t’=0) use the Lorentz transformation to list the x’and t’ coordinates of each event in ’s IRF.
4. Are there two events in the tunnel’s IRF that are simultaneous?  Are these events simultaneous in the train’s IRF?  If not, what is the time elapsed between these two events?
5. Does the train fit in the tunnel?
6. Make a graph of the motion of both ends of the train and both ends of the tunnel in (x,t) and in (x’,t’).  (Put t on the vertical axis and x on the horizontal axis.

A number of years ago at an ACM SIGCSE Technical Symposium, there was a presentation from a school that created a data communications cart on wheels. This cart, amongst other things, contained a large spool of twisted pair wire, an oscilloscope, and a signal generator. The instructors would use the signal generator to insert a square wave (digital signal) into one end of the spool, and then connect the oscilloscope to the other end of the spool of wire. By observing the received signal on the oscilloscope they would see what happened to the signal as it propagated through the coil of twisted pair wire.

Questions:

1. What happens when we increase the length of wire? Shorten the length of wire?

2. What happens if we increase the data rate of the signal injected into the spool of wire?

You are exploring a new planet, Uzaz. You have a string 1.2 m long, and a small object. You suspend the object from the string, and you observe that small-amplitude pendulum swings have a period of 1.987 s. You have determined the radius of Uzaz is 7.2 × 106 m. You then launch the object at an angle θ above the horizontal from shoulder-height (1.40 m) with a velocity of 30 m/s; it hits the ground 60.36 m from you. Assume the ground is level and ignore atmospheric resistance.

(a) (5 points) Determine the mass of planet Uzaz.

(b) (4 points) Determine all possible angles θ above the horizontal at which you could have launched the object.

In the figure the four particles form a square of edge length a = 6.40 cm and have charges q1 = 8.91 nC, q2 = -19.0 nC, q3 = 19.0 nC, and q4 = -8.91 nC. What is the magnitude of the net electric field produced by the particles at the square's center?

A converging lens has a focal length of 22 cm. Locate the images for the following object distances if they exist. (Enter 0 in the q and M fields if no image exists.)

(a) 22.00 cm

Select all that apply to part (a).

virtual, real, upright, inverted, no image

(b) 7.33 cm

Select all that apply to part (b).

real, virtual, upright, inverted, no image

(c) 110.00 cm

Select all that apply to part (c).

upright, no image, virtual, inverted, real

Post a two paragraph summary about one of the minor bodies in the solar system.

(3)(30 pts) Take a picture of a door of the room where you are sitting now and attached it with your solution to this test.

(a) (10 pts) Estimate the mass, width and height of the door, then calculate the moment of inertia of the door with respect to its hinged side (rotational axis) assuming the mass is uniformly distributed over the entire door.

(b) (10 pts) If you apply a constant force of 50 N on the door nub perpendicular to the surface of the door, what is the resulting angular acceleration of your door?

©(10 pts) By how many degrees your door has rotated after 3 seconds?

Fluorescence has four important characteristics that make it a useful tool for examining the finer details of biological specimens. Describe them.

Explain the construction and working of a CO2 laser with a suitable energy level diagram.
Find the ratio of the population of the two states in a He–Ne laser that produces light of
wavelength 632.8 nm at 27C

When red light (λr = 715 nm) illuminates a diffraction grating, a second order maximum is seen at a vertical location y = 12.5 cm on a screen L = 45.0 cm away from the grating.
(a) At what angle does the second order maximum occur?
(b) What is the distance, d, between the slits?
(c) If the grating is 2.50 cm wide, how many slits make up the grating?
(d) Where on the screen would the second order maximum occur for an orange light λo = 615 nm?

If 2.00 m3 of water at 0∘C is frozen and cooled to -9.0 ∘C by being in contact with a great deal of ice at -9.0 ∘C, estimate the total change in entropy of the process. Delta S =?

Discuss the various forms of tissue damage exploited in many current clinical applications of surgical lasers and the variety of available monitoring tools.