1. A container with volume 1.68L is initially evacuated. Then it is filled with 0.240g of N2. Assume that the pressure of the gas is low enough for the gas to obey the ideal-gas law to a high degree of accuracy.

a) If the root-mean-square speed of the gas molecules is 167m/s , what is the pressure of the gas?

2. Smoke particles in the air typically have masses of the order of 10^-16 kg. The Brownian motion (rapid, irregular movement) of these particles, resulting from collisions with air molecules, can be observed with a microscope.

a) Find the root-mean-square speed of Brownian motion for a particle with a mass of 3.00 x 10^-16kg in air at 300K.

Calculate the separation distance of the wires : Two long parallel wires carry currents of 2.71 A and 5.93 A. Find the separation distance of the wires |

Find how many turns does this solenoid contain : A current of 7.87 A in a solenoid of length 12.0 cm creates a 0.357-T magnetic field at the center of the solenoid |

Compute the max acceptable tensile service load for angle : The service live load is three times the dead load. The 4-in leg contains a single line of 7/8 inch diameter bolts, and the 6 inch leg contains a double gage line of 7/8 inch diameter bolts. |

Determine the amount of merchandise inventory lost : Complete the Balance Sheet using the information on the Post Closing Trial Balance and determine the amount of Merchandise Inventory lost and prepare the entry to write off the lose. |

Find the root-mean-square speed of brownian motion : Smoke particles in the air typically have masses of the order of 10^-16 kg. Find the root-mean-square speed of Brownian motion for a particle with a mass of 3.00 x 10^-16kg in air at 300K |

Determine the service rate for six vehicles per minute : Vehicles begin to arrive at a toll booth at eight vehicles per minute from 9 A.M. to 10 A.M. The booth opens at 9:10 A.M. and services at a rate of ten vehicles per minute until 9:40 A.M. From 9:40 A.M. until 10 A.M. |

Compute the magnitude of the torque on the tre : Compute the magnitude of the torque on the tree due to the tension in the rope, with the base of the tree acting as the reference point |

Find the free-flow speed nd jam density for the relationship : a) Find the free-flow speed and jam density for this relationship b) Derive equations depicting the relationship between flow and density, and speed and flow. Plot the resulting curves. Show the values of free-flow speed, jam density, and capactiy.. |

Show the interst payment and principle payment : you are required to make 5 equal annual repayment in the amount of $1285.46 per year, with the first repayment occuring at teh end of the year one. for each year, show the interst payment and principle payment. |

## What is the initial total mechanical energy of projectileWhat is the speed of the projectile immediately before it hits the ground if air friction does one and a half times as much work on projectile when it is going down as it did when it was going up. |

## Calculate the force exerted on the carSuppose instead the car hits a concrete abutment at full speed and is brought to a stop in 2.00 m. Calculate the force exerted on the car |

## Calculate the image position using the mirror equationDraw a ray diagram depicting the following: and object is 20cm in front of a concave mirror whose radius of curvature is 25cm. Calculate the image position using the mirror equation |

## How fast was he running at firstFind out the constant force that must be exerted on him to bring him to rest in a distance of 1.2 m in a time interval of 0.20 s.opposite the fullback's direction of motion. |

## Find the electric field in the region between the platesConsider two closely spaced and oppositely charged parallel metal plates. The plates are square with sides of length L and carry charges Q and -Q on their facing surfaces. What is the magnitude of the electric field in the region between the plate.. |

## What is the bulk modulus of the liquidA liquid compresses 2.0 percent when subjected to a pressure of 34 MPa. What is the bulk modulus of the liquid |

## Write the equations for displacements along x and y axisA particle is launched in a gravitational field (g) with an initial velocity of v nought at an angle of theta with respect to the horizontal, Write down the equations for displacements along x- and along the y- axis as a function of time (t) |

## How tall is the pencil''s imageWhen a 5.5 cm long pencil is arranged perpendicular to a convex mirror's optical axis at a distance of 29 cm from the mirror, its image is 2.8 cm tall. |

## Explain how does this change in amplitude affect the waveWinds pick up suddently,increasing the wave's amplitude to 6m. Explain how does this change in amplitude affect the wave's frequency and the amount of energy it transports? |

## How much charge will end up on each capacitor plateIf the same number of 9.00 ?F capacitors are connected in series with the same 4.00 V battery, how much charge will end up on each capacitor plate |

## Illustrate what is the velocity of boat relative to shoreA boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 15.0 m/s due north relative to the water. Illustrate what is the velocity of the boat relative to shore? |

## What is the coefficient of volume expansion of the liquidA flask is filled with 1.51 L (L = liter) of a liquid at 96.8 °C. When the liquid is cooled to 17.5 °C, What is the coefficient of volume expansion of the liquid |

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