Two adjacent natural frequencies of an organ pipe are found to be 550 Hz and 650 Hz. a.) Calculate the fundamental frequency of the pipe. b.) Is the pipe open at both ends or open at only one end? c.) What is the length of the pipe.

Please show your work and provide an answer thank you.

5. Other Solar Systems. Suppose we found a solar system with the properties described (note that these are not real discoveries!). In light of our theory of solar system formation, decide whether the discovery should be considered reasonable or surprising. Explain your answers.

A. A solar system has four large jovian planets in its inner solar system and seven

small planets made of rock and metal in its outer solar system.

B. A solar system has five terrestrial planets in its inner solar system and three jovian

planets in its outer solar system.

C. A solar system has ten planets that all orbit the star in approximately the same

plane. However, five planets orbit in one direction (counterclockwise) while the

other five orbit in the opposite direction (clockwise).

D. A solar system contains only comets and asteroids, but no large planets.

E. A solar system has four Earth-size terrestrial planets. Each of the four planets has a single moon that is nearly identical in size to Earth’s moon.

What is the minimum speed (relative to Earth) required for a rocket to send it out of the solar system?Note that you need to make use of Earth's speed to arrive at your result.

For a FCC crystal structure,

(a) Define three primitive vectors in the Cartesian Coordinates in the most symmetrical form. The lattice constant of FCC is ‘a’.

(b) From the above primitive vectors in the direct lattice, derive reciprocal primitive vectors in the Cartesian Coordinates.

(c) What is the structure of the reciprocal lattice? What is the length of the side of the cubic cell?

(a)A light-rail commuter train accelerates at a rate of 1.45 m/s². How long (in s) does it take to reach its top speed of 80.0 km/h, starting from rest?

s

(b)The same train ordinarily decelerates at a rate of 1.95 m/s². How long (in s) does it take to come to a stop from its top speed?

s

(c)In emergencies the train can decelerate more rapidly, coming to rest from 80.0 km/h in 8.30 s. What is its emergency deceleration in m/s²?

m/s²

Titan’s atmosphere contains a large amount of photosensitive methane. We knowbecause of basic physics and chemistry that there must be a source of methane onTitan that replenishes the atmospheric methane.

a) Describe what astronomers thought might be occurring on Titan before the Cassini/Huygensmission.

b) Describe the findings of the Cassini/Huygens mission that either supported or dis-proved the original hypotheses

1. on a warm day, a tube open on one end resonates at 51.3 cm and 85.8 cm when the subject to 500 Hz input. what is the velocity of sound at that moment, and what is the correction value of the tube?.

2. you are driving down the highway at 35 m/s when an ambulance comes up behind you, and then passes (you illegally do not slow down). The passenger in the seat next to you has perfect pitch and tells you that the apparent frequency of the ambulance dropped by 2.0% when the ambulance passed. How fast was the ambulance traveling? (Assume a speed of sound is 341 m/s)

A ladder of mass 30 kg and length 5m leans against a frictionless wall. The angle between the ladder and the wall is 37 degree. (a) what is the force between the ladder and the wall? (b) a 60 kg man now climbs up to the midpoint of the ladder, what is the force at the base of the ladder (magnitude and direction).? (c) what must be the coefficient of friction so that the mass can climb all the way to the top of the ladder without slipping?

Ball 1, with a mass of 110 g and traveling at 15 m/s , collides head on with ball 2, which has a mass of 340 g and is initially at rest.

What is the final velocity of the ball 1 if the collision is perfectly elastic?

What is the final velocity of the ball 2 if the collision is perfectly elastic?

What is the final velocity of the ball 1 if the collision is perfectly inelastic?

What is the final velocity of the ball 2 if the collision is perfectly inelastic?

(a)Two charges are placed on the x-axis: one is placed at x = 3 m and the other is at x = -3 m. The magnitude of both charges is 9.7

n = 2.94 mol of Hydrogen gas is initially at T = 381 K temperature and p_i = 2.24×10⁵ Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches p_f = 7.63×10⁵ Pa. What is the volume of the gas at the end of the compression process?

*****What would be the temperature of the gas, if the gas was allowed to adiabatically expand back to its original pressure?

A:What must be the density of the oil?

B:If the vehicle is taken to Mars, where the acceleration due to gravity is 0.379 g, what will be the pressure difference (in earth atmospheres) between the top and bottom of the oil column?

What is exponential growth? What consequences can we expect if U.S. population growth and energy consumption continue to grow exponentially? What are renewable energy sources and how can using renewable energy to generate electricity help alleviate this problem?