1) Jason Statham jumps off of a diving board which is 3.0 m above the water surface. He lands traveling at 8.90 m/s at an angle of 75° with respect to the horizontal. (a) What was his initial take-off speed and direction? (b) Use the Order of Magnitude sense-making technique to check the validity of your answer to part (a).

2) An astronaut shipwrecked on a distant planet with unknown characteristics is on top of a cliff, which she wishes to descend. She does not know the acceleration due to gravity on the planet, and she has only a good watch with which to make measurements. She wants to learn the height of the cliff, and to do this she makes two measurements. First, she lets the rockfall from rest off the cliff edge; she finds that the rock takes 2.54 s to reach the distant ground below the cliff. Second, she releases the rock from the same spot but tosses it upward so that it rises 2 m before falling to the distant ground below the cliff; this time the rock takes 3.77 s to reach the ground. (a) What is the height of the cliff? (b) What planet in our solar system is this? (c) Use the Known Values sense-making technique to verify your answer to part (b).

3)While bowling, you throw the bowling ball forward down the right side of the lane. The ball has a constant forward velocity of 8.9 m/s. A bowling lane is 18.3 meters long and 1.05 meters wide. Since you are a professional bowler, you release the ball with a spin that causes the ball to accelerate to the left at a constant rate, a. To get a strike, you need your bowling ball to hit the headpin which is sitting at the end of the lane in the center. (a) What acceleration is needed to hit the headpin? (ignore the width of the pin and ball) (b) What is the final speed of the ball? (c) Use the Order of Magnitude sense-making technique to check the validity of your answer to part (b)

4) Gerry the gerbil walks 55 cm in the positive y-direction. After this, he is located 95 cm from the origin at an angle of 50° from the +xaxis towards the +y-axis, as shown in the figure. (a) Complete the figure by including the change in position and the initial position vectors. (b) Calculate Gerry’s initial position. (c) Use the Related Quantities sense-making technique to check the validity of your answer.

5) Deserted on a deserted Island you spot a slightly exposed tin can under a tree. Upon opening it you find it’s instructions to a treasure. It reads: “Ten paces from this very tree in a direction twenty degrees south of west lies the first location. Ten paces from this very tree in a direction sixty degrees north of east lie the second location. Walk from this tree exactly the distance and direction you would walk from the first location to the second location and you will find ye treasure. Yar” (a) What are the coordinates of treasure? (b) Use a physical representation in conjunction with the Related Quantities sense-making technique to check the validity of your answer.

What is the difference between random error and systematic errors ? How do you correct each one ?

A particle moves under constant external force F = F₀ ˆi. It is also subjected to a drag force, F_D = −C_DV. How will the particle move, qualitatively speaking? Describe in words before using equations. What will the particle's final velocity be? What is the sum of the external forces at the final velocity you found?

Q1. What are the Dulong-Petit law and Einstein model for the heat capacity of solids?

FLUID DYNAMICS:

Explain the method of assigning temporal and spatial scales to physical phenomena in fluid dynamics.

 Briefly explain the process of fractional distillation – the physical process for separating gasoline and kerosene (the two types of aviation fuels) from crude oil.

 Differentiate between a physical property and a chemical property of a substance.

 Regarding the organic chemical compounds which are the primary component of jet fuel, hydrocarbons

- Describe the types of chemical bonds occurring between carbon atoms.

- Describe the shapes formed by single-bonded hydrocarbon chains.

- Explain how the electron configuration of carbon allows it to attain several potential atom combinations.

- Describe the various conventional models used for representing hydrocarbon molecules in chemistry.

- Decipher the Greek naming convention for organic compounds (i.e., what the prefix and suffix of the name indicates about the compound).

 With respect to the combustibility of hydrocarbon fuels, explain the connection between burn rate and octane rating.

 Discuss the connection between the number of carbon atoms per molecule of a particular petroleum product and 1) its state of matter at room temperature, 2) its molar mass, and c) its boiling rate.

 For each of the four hydrocarbon fuels described in the mini-lecture, be able to describe tits structure and characteristics, and visually recognize its carbon chain structure (chemical structure).

Determine the following quantities for a car driving on a level surface with a coefficient of static friction of 0.75 (¾) and a coefficient of kinetic friction of 0.67 (⅔).

1. Determine the car's maximum starting acceleration with and without "burning rubber". How do these two methods of starting a car compare?
2. Determine the car's minimum braking distance with normal brakes and antilock brakes as a function of initial speed. How do these two methods of stopping a car compare?

9. An experiment uses microphone moving toward a speaker as a way to measure the speed of sound in different media. In air, the frequency heard by the moving microphone is 20% higher than the frequency of the sound when the microphone is at rest. When the gas in the experimental system is replaced by helium, the frequency heard by the moving microphone is now only 6.8% higher than when the microphone is at rest. Based on this information, what is the speed of sound in helium?

what is the electric field and electric potential (voltage) at the center and surface of a spherical conductor?

Explain the hydrological cycle and water balance.

Explain how and why the velocity of an object changes when it falls in a viscous fluid. 2

1. At the solstices and the equinoxes, how does the right ascension of the Sun compare with the sidereal time at solar noon? Does this relationship hold on other days of the year?

2. On what day of the year is apparent solar time the same as sidereal time? Explain why this would not happen on another day of the year.

Miranda, a satellite of Uranus, is shown in part a of the figure below. It can be modeled as a sphere of radius 242 km and mass 6.68 1019 kg.

(a) Find the free-fall acceleration on its surface. (m/s2)

(b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o'clock position in part a of the figure above and is magnified in part b of the figure above. A devotee of extreme sports runs horizontally off the top of the cliff at 8.50 m/s. For what time interval is he in flight? (Ignore the difference in g between the lip and base of the cliff.) (s)

(c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? m (d) What is his vector impact velocity? (m/s ° below the horizontal)

Along a number line, there exist 2 charged objects. At x = 8 m, there is a 4 nC charge (Q1), and at x = -5 m, there is a -9 nC charge (Q2). What is the electric field at x = 0 m? What is the electric potential at x = 0 m? If a third charge (Q3 = 1.6190 nC) were place on the number line so that it was in equilibrium, where would it be placed? Given the position of Q3 found in the previous problem, what is the total force, stack text F end text with rightwards harpoon with barb upwards on top, on Q1?