A particle moves on the x axis under the influence of a force, proportional to its distance from the origin, attracting it toward the origin. The particle starts from rest at x = 10 cm and reaches x = 5 cm for the first time after 2 s. Find: a. the particle's position at any time t after it starts. b. the ampIitude, period, and frequency of its motion.

Find the tension in the lower segment of the belt : An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel as shown in the figure below. The flywheel is a solid disk with a mass of 61.5 kg and a radius R = 0.625.. |

A massless spring is hanging vertically and unloaded : A massless spring is hanging vertically and unloaded, from the ceiling. A mass is attached to the bottom end and released. How close to its final resting position is the mass after 1 second, given that it finally comes to rest 0.5 meters below the po.. |

Distance between the centers of the wheels of a motorcycle : The distance between the centers of the wheels of a motorcycle is 150 cm. The center of mass of the motorcycle, including the rider, is 85.5 cm above the ground and halfway between the wheels. Assume the mass of each wheel is small compared to the bo.. |

The head of a grass string trimmer : The head of a grass string trimmer has 100 g of cord wound in a light, cylindrical spool with inside diameter 3.00 cm and outside diameter 18.0 cm as shown in the figure below. The cord has a linear density of 10.0 g/m. A single strand of the cord.. |

Particle moves on the x axis under the influence of a force : A particle moves on the x axis under the influence of a force, proportional to its distance from the origin, attracting it toward the origin. The particle starts from rest at x = 10 cm and reaches x = 5 cm for the first time after 2 s. Find: a. the p.. |

A solid cube of wood of side : A solid cube of wood of side 2a and mass M is resting on a horizontal surface. The cube is constrained to rotate about an axis AB. A bullet of mass m and speed v is shot at the face opposite ABCD at a height of 4a/3. The bullet becomes embedded in th.. |

What time interval should the gyroscope be operated : A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 24.0 kg · m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is Is = 5.00 105 kg· m2. |

What is average current in load-full-wave rectifier circuit : A full-wave rectifier circuit with a 1K ohm load perates from a 120V (rms) 60-Hz huusehold supply throught a 5-to-1 transformer having a center-tapped secondary winding. It uses two silicon diodes that can be modeled to have 0.7-V drop for all cur.. |

Use the left end of the bar as the fulcrum : A rod of length 0.850 m is attached to a pivot at one end. A force F of 2.30 N is applied to the end of the bar opposite the pivot. The force makes an angle of 65.0o with the bar. (The ? in the figure is the angle for the "line of action" of the f.. |

## What is the minimum distance you can be from the lightA certain traffic light is yellow for 2.70 s before it turns red. To come to a complete stop before reaching the intersection, what is the minimum distance you can be from the light when it turns yellow |

## Estimate the wavelength of the soundA bat emits a sound whose frequency is 70.9 kHz. The speed of sound in air at 20.0 oC is 343 m/s. However, the air temperature is 40.4 oC, find the wavelength of the sound |

## Is the frequency lower higher or the sameWhen the density of the string is changed, say increased, what is the effect on the frequency required to obtain a given number of loops |

## Estimate how long it would take to heat a cup of soupA 240 , 50.0-cm-diameter turntable rotates on frictionless bearings at 57 . A 22 block sits at the center of the turntable. A compressed spring shoots the block radically outward along a frictionless groove in surface of the turntable. What is turn.. |

## Obtain the velocity of the center of mass of the pairIf a particle of mass 4.9 kg is moving east at 10 m/s and a particle of mass 19 kg is moving west at 10 m/s, what is the velocity of the center of mass of the pair |

## Q1 the flywheel of an engine has a moment of inertia 220 rmq1. the flywheel of an engine has a moment of inertia 2.20 rm kg cdot rm m2 about its rotation axis. what is its final |

## At what speed is astra approaching the planetThe amplitude of the voltage across an inductor can be greater than the amplitude of the generator emf in an RLC circuit. Consider an RLC circuit with Epeak = 50 V, R = 14, L = 1.05 H, and C = 1.12 µ F. Find out the amplitude of the voltage across th.. |

## Computing height at which the water will strike the buildingA firefighter at a distance d from a burning building directs a stream of water from a fire hose at angle θi above the horizontal as shown in Figure. If the initial speed of the stream is vi. At what height h does the water strike the building? |

## Calculate the strength of the electric fieldA hollow, conducting sphere with an outer radius of 0.240m and an inner radius of 0.210m has a uniform surface charge density of +6.84*10-6C/m2, Calculate the strength of the electric field just outside the sphere |

## Find the components of the magnetic force felt by the chargeA 4mC charge passes through the point (3m, 4m) at a speed of 100m/s. Find the components of the magnetic force felt by the charge |

## What is the intensity of the background radiationIn 1965 Arno Penzias and Robert Wilson discovered the cosmic background radiation (this is the radiation left over from the Big Bang!) |

## Find the orbital speed for satellite a and satellite bTwo satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 363 km above the earth's surface, Find the orbital speed for satellite A and satellite B |

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