An airplane is dropping an aid package in a remote area. The plane is moving horizontally at speed v0 and the package lands a horizontal distance L from where it was released by the plane. a) Find the time it takes for the package to land. b) Find the altitude of the plane. c) Find the velocity (vector) of the package when it lands. d) Find the speed of the package when it lands. Write your results in terms of v0, L, and g. Check the units/dimensions for each answer.

Describe the difference between photoablation and plasma-induced ablation. Discuss the advantages and disadvantages of these interaction mechanisms for refractive corneal surgery.

A bullet with a mass m b = 13.1 g is fired into a block of wood at velocity v b = 245 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass of the wooden block.

The picture below shows an isolated system with a fairly massive wheel at one end, attached via its axle to a long shaft, like a bike tire on a bike frame, but the bike frame is merely a low mass 'truss.' At the other end of this long shaft is a mass of roughly the same magnitude as the wheel, so the center of gravity (CG) is roughly in the middle of the shaft. This mass is fixed to the shaft with no rotation possible. The assembly is floating motionless in 'space', with no contact to anything else.

Diagram of apparatus

If a motor on the 'truss' causes the wheel to spin in one direction, the truss would begin to spin in the other direction about the common center of mass. The net angular momentum would thus be zero both before and after the spinning commences. The wheel and the truss would rotate in the same plane. The actual rotation rate of each part is dependent upon the individual masses, wheel radius, and the length of the shaft. It is getting complex, but so far easy enough to envision in general.

Now, place into the 'truss' a mechanism that causes this long shaft to rotate on its long axis (which would be perpendicular to the spin axis) while it is still undergoing the above rotation relative to the wheel. Upon rotation at this new joint, a force is applied to the axle of the spinning wheel (and of course to the mass at the other end of the truss, too) causing each part to try to turn in the opposite direction. Given that the net angular momentum is still zero, the vector sum of the individual parts (the spinning wheel and the body as a whole rotating around its CG) must be equal and opposite. I cannot envision the result, however, nor do I have the background to derive the equations of motion of this 'whirly gig.' The best I can imagine is that the plane of overall rotation should change, with the plane of the wheel's rotation changing in the opposite direction. This would seem to result in a state where the wheel is no longer spinning in the same plane as the overall assembly, but that would seem unsustainable and perhaps unstable. How can the behavior of this system be understood?

3. Two ice skaters collide on the ice. A 39.6-kg skater moving South at 6.21 m/s collides with a 52.1-kg skater

moving East at 4.33 m/s. The two skaters entangle and move together across the ice. Determine the magnitude

and direction of their post-collision velocity (answer: 3.64 m/s at 42.5 degrees)

Please provide a detailed diagram

A man stands on the roof of a building of height 15.7m and throws a rock with a velocity of magnitude 26.3m/s at an angle of 25.0? above the horizontal.

1) Calculate the maximum height above the roof reached by the rock.

answer: y=___ m

2) Calculate the magnitude of the velocity of the rock just before it strikes the ground.

answer: v=___m/s

3) Calculate the horizontal distance from the base of the building to the point where the rock strikes the ground.

answer: x=___ m

A Bottle of compressed nitrogen is used in your laboratory to flush the CVD furnace. If you received the 20-liter bottle at room temperature (25°C) and 10 MPa. After the slow release of nitrogen (isothermal), estimate the pressure if you have disbursed 1 kg.

* 2 points

4 MPa

5 MPa

5.6 MPa

4.4 MPa

Other:

Treat the two channel Young

DATA

Make graph with this data for step 9.

Analysis Questions

Part 1

Q1. Does the galvanometer deflect to the left or the right when

a)   the magnet is being pushed in

b)   the magnet is being pulled out

c)   the magnet is being held steady?

Q2. How does the maximum deflection of the galvanometer appear to depend on the speed with which the magnet is moved? Why?

Q3. How do your observations lend support to the statement: "A steady magnetic field cannot induce currents in a stationary conductor"?

Part 2)

Q4. Does the galvanometer deflect to the left or right while the current in the smaller coil is

a)   increasing

b) decreasing

c) not changing

Q5. State, giving reasons, whether the answers given to Q.4. are to be expected on the basis of those given in Q.1.

Q6. What is the effect of the presence of the rod on the current induced in the larger
solenoid?

Q7. How does the induced current depend on the rate at which the current in the smaller
solenoid is altered?

Q8. What does the graph indicate?

Part 3

Q9. Are your results consistent with Lenz' s Law?

Comet Bennett (1969 Y1) came to perihelion (closest approach to the Sun) on April 4, 1970. The

period of this comet is 1678 years and its orbital eccentricity is 0.9962. Calculate, in AU, the semi-major

axis, perihelion distance, and aphelion distance (farthest recession from the Sun) of the orbit of this

comet.

** All work must be shown to recieve full points!

DATA:

Part II

ANALYSIS QUESTIONS

1.   Plot a graph of magnetic field B vs. the current I through the solenoid. You may launch a fresh copy of LoggerPro, or use the file "magnetic field graph' in the Lab 08 folder.

2. Determine the equation of the best-fit line, including they-intercept. Note the constants and their units.

3. For each of the measurements of Part II, calculate the number of turns per meter. Enter these values in the data table.

4. Plot a graph of magnetic field B vs. the turns per meter of the solenoid (n). Use either Graphical Analysis or graph paper.

5. How is magnetic field related to the turns/meter of the solenoid?

6. Determine the equation of the best-fit line to your graph. Note the constants and their units

7.   From Ampere's law, it can be shown that the magnetic field B inside a long solenoid is B = µ0nl where I-to is the permeability constant. Do your results agree with this equation? Explain.

8.   The permeability constant for a vacuum, I-to, has a value of 4rcx10-7 Tm/A. Assuming the equation in step 8 applies to the Slinky, obtain a value of re from your graphs, and compare with the 'theoretical' value.

9.   Was your Slinky positioned along an east-west, north-south, or on some other axis? Will this have any effect on your readings?

what is the ratio of the sun"s gravitational farce on you to the earth's gravitational force on you?  assume you have a mass of 80 kg .

Suppose that a passenger intent on lunch during his first ride in a hot-air balloon accidently drops an apple over the side during the balloon