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 the cube. Find the minimum value of v required to tip the cube so that it falls on face ABCD. Assume m M. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) v = Please explain.

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.. |

Cross-section of a hollow cylindrical conductor with radii : The cross-section of a hollow cylindrical conductor with radii a = 0.90 cm and b = 4.70 cm which carries a current 7.00 Amps uniformly spread over its cross-section. Find the magnitude of the magnetic field at a distance of 2.10 cm from the axis. |

## 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 |

## Calculate the resistance in the circuitA series AC circuit contains a resistor, an inductor of 210 mH, a capacitor of 5.40 µF, and a source with Î"Vmax = 240 V operating at 50.0 Hz. Calculate the resistance in the circuit |

## What is the minimum amplitude of vibrationA computer to be used in a satellite must be able to withstand accelerations of up to 23 times the acceleration due to gravity. What is the minimum amplitude of vibration that must be used in this test |

## Find with what speed must a ball be thrown verticallyWith what speed must a ball be thrown vertically from ground level to rise to a maximum height of 35 m |

## How thick should the steel plate beDue to a temperature difference ?T, heat is conducted through a brass plate that is 0.027 m thick. How thick should the steel plate be so that the same amount of heat per second is conducted through it |

## Explain counterclockwise rotation as positiveAn engine flywheel initially rotates counterclockwise at 5.55 rotations per second. Define counterclockwise rotation as positive |

## Calculate what is the work done by the childA playground merry-go-round has a radius of 4.20 and a moment of inertia of 255, What is the work done by the child |

## How many revolutions of the wheels must the odometer countThe odometer (mileage gauge) of a car tells you the number of miles you have driven, A typical midsize car has tires 24.0 inches in diameter. How many revolutions of the wheels must the odometer count in order to show a mileage of 0.100 mile |

## Determine the final velocities of each ballBall 1, with a mass of 140 g and traveling at 12.0 m/s, collides head on with ball 2, which has a mass of 300 g and is initially at rest. What are the final velocities of each ball if the collision is perfectly elastic |

## Depict a force diagram for the deskA person pulls on a 50kg desk with a 200 N force acting at a 30 degree angle above the horizontal. The desk does not budge. |

## Find its speed when it is farthest from the sunA comet moves about the Sun in an elliptical orbit, with its closest approach to the Sun being about 0.680 AU and its greatest distance from the sun being 38.5 AU. what is its speed when it is farthest from the Sun |

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