A 90.0cm3 box contains helium at a pressure of 1.90atm and a temperature of 100?C. It is placed in thermal contact with a 220cm3 box containing argon at a pressure of 4.30atm and a temperature of 400?C.

A. What is the initial thermal energy of each gas?

B. What is the final thermal energy of each gas?

C. How much heat energy is transferred, and in which direction?

D. What is the final temperature?

E. What is the final pressure in each box?

1) A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8..00 m/s at an angle of 20.0 below the horizontal. It strikes the ground 5 .00 s later.

A) How far horizontally from the base of the building does the ball strike the ground?

B) Find the height from which the ball was thrown.

C) How long does it take the ball to reach a point 10.0 m below the level of launching?

2) As it passes over grand bahama island, the eye of a hurricane is moving in a direction 60.0 north of west with a speed of 41.0km/h. Three hours later, it shifts due north, and its speed slows to 25.0km/h.

A) How far from Grand Bahama is the eye 4.50 h after it passes over the island?

1. The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 510 paces, then due east for                 150 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60                 ^\circ east of north. After walking 350 paces you see an opening through the woods.

a. Which direction should you go to reach the treasure?

b. How far should you go to reach the treasure?

2. A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 190m  above the glacier at a speed of 160m/s .

a. How far short of the target should it drop the package?

3. An old-fashioned single-play vinyl record rotates on a turntable at 48.0rpm . What are (a) the angular velocity in rad/s and (b) the period of the motion?

4. Your roommate is working on his bicycle and has the bike upside down. He spins the 70.0cm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second.

a. What is the pebble's speed?

b. What is the pebble's acceleration?

A proton (?? = +?, ?? = 1.0 u; where u = unified mass unit ≃ 1.66 × 10−27kg), a deuteron (?? = +?, ?? = 2.0 u) and an alpha particle (?? = +2?, ?? = 4.0 u) are accelerated from rest through the same potential difference ?, and then enter the same region of uniform magnetic field ?⃗⃗ , moving perpendicularly to the direction of the magnetic field.

A) What is the ratio of the proton’s kinetic energy ?? to the alpha particle’s kinetic energy ???

B) What is the ratio of the deuteron’s kinetic energy ?? to the alpha particle’s kinetic energy ???

C) If the radius of the proton’s circular orbit ?? = 10 cm, what is the radius of the deuteron’s orbit ???

D) What is the radius of the alpha particle’s orbit ???

Three charges with q = +6.3

A piston-cylinder device contains 0.56 kg of steam at 300 degrees C and 1.4 MPa. Steam is cooled at constant pressure until one-half of the mass condenses.

(a) Find the final temperature. T₁= _______ degrees celcius

(b) Determine the volume change in m³

A small plastic sphere with a charge of -5nC is near another plastic sphere with a charge of -12nC. (a) If the spheres repel one another with a force of magnitude 8.2 x 10^-4, what is the distance between the spheres? (b) What is the new value of the force if the distance doubles its original value?

A ball with a mass of 0.615 kg is initially at rest. It is struck by a second ball having a mass of 0.380 kg , initially moving with a velocity of 0.260 m/s toward the right along the x axis. After the collision, the 0.380 kg ball has a velocity of 0.230 m/s at an angle of 37.4 ∘ above the x axis in the first quadrant. Both balls move on a frictionless, horizontal surface.

What is the magnitude of the velocity of the 0.615 kg ball after the collision?

What is the direction of the velocity of the 0.615 kg ball after the collision?

What is the change in the total kinetic energy of the two balls as a result of the collision?

What is true when it comes to the concept of FLOATING FREE in SPECIAL RELATIVITY, choose one of the three alternatives each for a) - d)

a) AN OBSEVER NEEDS ACCESS TO (1. His own watch (wrist-watch time) - 2. All synchronised watches in ALL Free-Float Frames - 3. All synchronised watches in ONE Free-Float Frame)

b) A TEST-PARTICLE (1. Has zero mass - 2. Generates neglectable gravitational field - 3. Is a standardised particle (SI-standard)

c) FREE-FLOAT FRAME IS USED BECAUSE (1. It makes gravity stronger - 2. It makes gravity weaker - 3. It makes gravity ”disappear”)

d) A FREE-FLOAT FRAME NEEDS TO BE LOCAL BECAUSE (1. Gravitational field can be different in different places - 2. To prevent zero effect on tide (high/low water) 3. To prevent the test particles mass to become zero)

A 44.0 kg body is moving in the direction of the positive x-axis with a speed of 373 m/s when owing to an internal explosion, it breaks into three pieces. One part, whose mass is 6.5kg, moves away from the point of explosion with a speed of 438 m/s along the positive y-axis. A second fragment, whose mass is 5.0 kg, moves away from the point of explosion with a speed of 378 m/s along the negative x-axis.

What is the speed of the third fragment? Ignore effects due to gravity.  

How much energy was released in the explosion?

Two point charges, Q1 = 3.0 μC and Q2 = -1.7 μC , are placed on the x axis. Suppose that Q2 is placed at the origin, and Q1 is placed at the coordinate x1 = − 3.0 cm. At what point(s) along the x axis is the electric field zero? Determine the x-coordinate(s) of the point(s). Express your answer using two significant figures. If there is more than one answer, enter your answers in ascending order separated by commas.

A. At what point(s) along the xx axis is the electric field zero? Determine the xx-coordinate(s) of the point(s).

B.At what point(s) along the xx axis is the potential zero? Determine the xx-coordinate(s) of the point(s).

1. Relative to horizon stars rise in east and set in west everyday. a) True b) False

2. Relative to horizon the planets rise from west and set in east t every day. a) True b) False

3. During absorption of light electrons move from lower orbits to higher orbits a) True b) False

4. Apparent path of the sun among stars is called zodiac. a) True b) False

5. Galileo is the first astronomer to suggest the sun is at the center of universe. a) True b) False

6. According to Kepler’s second law planets move faster when they are closer to the sun. a) True b) False

7. The objects that exhibit retrograde motion are planets and nearby stars. a) True b) False

8. Babylonians used deferent and epicycles to explain the retrograde motion of planets. a) True b) False

9. Planets closer to the sun take less time to go around the sun once compare to the planets farther away from sun. a) True b) False

10. Refraction telescopes use mirrors as objective. a) True b) False

11. Color of light depends on a) amplitude of the wave b) wavelength of light wave c) medium it travels d) its speed

12. Which of the following did the model of Copernicus and the model of Kepler have in common? a) planets move in elliptical orbits b) planets move around the sun c)the motion of planets are uniform d) both a & b.

13. Circumpolar stars are a) brightest stars b) stars in Zodiac c) stars never set d) none of these

14. Light year is defined as a) distance from earth to sun b) distance to nearest star c) distance that light travels in one year d) distance that earth travels around sun in one year

15. Which of following is not a telescopic discovery of Galileo. a) moons of Jupiter b) mountains of moon c) new planet Pluto d) sunspots

16. Resolution of a telescope depends on its a) length b) diameter c) weight d) location on the earth

17. Who used the telescope to observe the sky first? a) Copernicus b) Aristotle c) Galileo d) Kepler

18. An astronomical unit (a.u) is defined as a) a reference unit of time between stars b) distance that light travels in 1 day c) the average distance between the sun and the earth. d) The average distance between the earth and the moon.

19. Phase of the moon during solar eclipse is a. new moon b. first quarter c. third quarter d. full moon E N S W

20. According to the diagram, what is the approximate time a. 9 AM b. noon c. 3 PM d. 3 AM Sun

21. According to the diagram, what is the phase of the moon? 22. What types of electromagnetic radiation has more energy?

23. What is common to all types of electromagnetic waves? 24. As viewed from the earth, What is the angle from the sun to third quarter moon?

25. Why do we different phases (shapes) of the moon?

A research Van de Graaff generator has a 1.98-m-diameter metal sphere with a charge of 4.75 mC

on it.

a) What is the potential near its surface?

MV

b) At what distance from its center is the potential 1.02

MV

?

m

c) An oxygen atom with 3

missing electrons is released near the Van de Graaff generator. What is its energy in MeV

at this distance?

MeV

A 100 cm3 box contains helium at a pressure of 2.20 atm and a temperature of 100 ∘C. It is placed in thermal contact with a 220 cm3 box containing argon at a pressure of 3.70 atm and a temperature of 410 ∘C.

a) What is the initial thermal energy of each gas?

b) What is the final thermal energy of each gas?

c) How much heat energy is transferred, and in which direction?

d) What is the final temperature?

e) What is the final pressure in each box?