An air-traffic controller observes two aircraft on his radar screen. The first is at altitude 750 m, horizontal distance 19.8 km, and 22.5° south of west. The second aircraft is at altitude 1000 m, horizontal distance 18.0 km, and 18.0° south of west. What is the distance between the two aircraft? (Place the x axis west, the y axis south, and the z axis vertical.)

## Disregard the width of the crossingA stone is thrown vertically upward with a speed of 12.3 m/s from the edge of a cliff 84.6m high. What is the speed just before hitting. |

## Evaluate the deviation of the bone subjected to the loadUse the Fourier series method to evaluate the deviation of the bone subjected to the load, w, which is linearly dependent on its position |

## What is the minimum current in the rodWhen a potential difference of 166 V is applied to the plates of a parallel-plate capacitor, the plates carry a surface charge density of 32.0 nC/cm2. What is the spacing between plates. |

## What are the initial velocitya red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at xr = 0 and the green car is at xg = 211 m. |

## Find the characteristic time for this circuitA circuit consists of a 6.0V battery, a 37-mH inductor, and four 55 ohm resistors. Find the characteristic time for this circuit |

## What was the average angular speedA daredevil is shot out of a cannon at 43 degrees to the horizontal with an initial seed of 25m/s. A net is positioned at a horizontal distance of of 50m from the cannon from which it is shot. At what height above cannon should the net be placed i.. |

## Calculate the period of a satellite orbiting the moonCalculate the period of a satellite orbiting the Moon, 130km above the Moon's surface. Ignore effects of the Earth |

## Determine the speed of jill and her car after the collisionAt a county fair, two children ram each other head-on while riding on the bumper cars. Jill and her car, traveling left at 3.20m/s, determine the speed of Jill and her car after the collision |

## What is the ratio of the new to the old wave speedA ball with a horizontal speed of 1.25m/s rolls off a bench 1.00m/s above the floor. how long does it take to reach the floor.How far from a point on the floor directly below the edge of the bench would the ball land. |

## Illustrate what is the concentration of sodium and chlorideIllustrate what is the concentration of sodium and chloride ions at a distance 3 angstroms from protein surface. |

## What is the size of the final imageTwo lenses, the first with focal length 10.0 cm and the second with focal length -12.5 cm, are separated by 20.0 cm. What is the size of the final image and what is its position |

## Find the mass of the manThe coefficients of static and kinetic frictions for plastic on wood are 0.50 and 0.40, respectively. How much horizontal force would you require to apply to a 3.0 N plastic calculator to start it moving from rest. |

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