Communications satellites are used to bounce radio waves from the earth's surface to send messages around the curvature of the earth. In order to be available all the time, they must remain above the same point on the earth's surface and must move in a circle above the equator. How long must it take for a communications satellite to make one complete orbit around the earth? (Such an orbit is said to be geosynchronous.) Apply Newton's second law to the satellite and find its altitude above the earth's surface.

## What is the angular velocity of the objectA top has a moment of inertia of 2.78 × 10^?4 kg·m^2 and is initially at rest. It is free to rotate about a vertical stationary axis. What is the angular velocity of the object |

## How fast is the person runningWhile running, a person dissipates about 0.60 J of mechanical energy per step per kilogram of body mass, how fast is the person running |

## Find the magnitude of the force giving this tensile stressAccording to one set of measurements, the tensile strength of hair is 196MPa , which produces a maximum strain of 0.380 in the hair. What is the magnitude of the force giving this tensile stress |

## Calculate the constant torque required to stopA flywheel in the form of a uniformly thick disk of radius 1.68 m, Calculate the constant torque required to stop it in 4.50 min |

## How long does it take for the second car to pass the firstWhat's the quickest way to approach this problem? A car is traveling at 80 km/h along the highway. How long does it take for the second car to pass the first |

## Determine the effective spring constant of the moleculeA molecule of DNA (deoxyribonucleic acid) is 2.28 µm long, Determine the effective spring constant of the molecule |

## Obtain the linear and angular speed of the disk clay systemA thin disk of uniform density, mass 5kg and radius :25m, rests on a frictionless table. Find the linear and angular speed of the disk clay system |

## How far is center of earth from center of elliptical orbitThe eccentricity,e, of the Moon's orbit is 0.0549 and the mean orbital radius rL=(ab)^1/2 is 384,100 km. Calculate the lengths of the principal axes a and b of the Moon's orbit. How far is the center of Earth from the center of the elliptical orbit? .. |

## How far from the center of the earth is itAn interplanetary spaceship passes through the point in space where the gravitational forces from the moon and the earth on the ship exactly cancel. How far from the center of the earth is it |

## Find the mass of this objectAn object of unknown mass is attached to an ideal spring with force constant 150N/m and is found to vibrate with a frequency of 6.00Hz. Find the mass of this object |

## Obtain the tension in the cable towing the sensorA helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 193-kg laser sensor which measures the thickness of the ice, find the tension in the cable towing the sensor |

## What is the resultant amplitudeTwo waves of the same frequency have amplitudes 0.961 and 2.16. What is the resultant amplitude |

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