A horizontal wire of length 0.43 m, carrying a current of 6.9 A, is placed in a uniform external magnetic field. When the wire is horizontal, it experiences no magnetic force. When the wire is tilted upward at an angle of 22°, it experiences a magnetic force of 5.8 × 10-3 N. Determine the magnitude of the external magnetic field.

Estimate the frequency of the dampened oscillation : A 10.0 kg object oscillates at the end of a vertical spring that has a spring constant of 1.90 104 N/m. Calculate the frequency of the dampened oscillation |

Determine the resonance angular frequency of the system : A 1.80-kg object attached to a spring moves without friction (b = 0) and is driven by an external force given by the expression F = 6.00sin(2?t), Find the resonance angular frequency of the system |

What is the value of the time constant : The amplitude of an oscillator decreases to 68.7% of its initial value in 30.0s. What is the value of the time constant |

What is the period of this pendulum : A pendulum hangs from an inclined wall. Suppose that this pendulum is released at an initial angle of 10 degrees and it bounces off the wall elastically when it reaches an angle of -5 degrees |

Compute the magnitude of the external magnetic field : A horizontal wire of length 0.43 m, carrying a current of 6.9 A, is placed in a uniform external magnetic field. Determine the magnitude of the external magnetic field |

Estimate the mass of the particle : A charged particle enters a uniform magnetic field and follows the circular path shown in the drawing. Determine the mass of the particle |

Explain why is the backpack helpful : A woman who is late in her pregnancy often leans backwards slightly when getting out of chairs and even while walking. Why is the backpack helpful |

Calculate the total angular momentum of our moon : Calculate the total angular momentum of our Moon relative to the center of the Earth. You may assume that the Moon is a uniform sphere |

What is the magnitude of the force absorbed by the athlete : When a rifle is fired, the person firing the rifle absorbs the recoil. Consider an Olympic biathlete firing a competition rifle. What is the magnitude of the force absorbed by the athlete |

## What is the height of the power lineTo find the height of an overhead power line, you throw a ball straight upward. The ball passes the line on the way up after 0.65, What is the height of the power line |

## Find the unit vector in the direction of average velocityA spacecraft is observed to be at a location m relative to an origin located on a nearby asteroid, find the unit vector in the direction of the average velocity |

## Determine the acceleration of the alcohol filled shellA thin spherical shell of mass 0.300 kg and diameter 0.190 m is filled with alcohol. It is then released from rest on the bottom of a pool of water. Find the acceleration of the alcohol filled shell as it rises toward the surface of the water. |

## What is the balls impact speed on the ground belowA cannon tilted up at a 30° angle fires a cannon ball at 80 m/s from atop a 18 m high fortress wall. What is the ball's impact speed on the ground below |

## What was the direction of the elevators accelerationA 17.0 kg monkey hangs from a cord suspended from the ceiling of an elevator. What was the direction of the elevator's acceleration |

## What is the distance between the observer and the sailboatA sailboat on the ocean has a mast of height 18.5 m. When viewed through a pair of binoculars the mast has an angular size of 0.065 rad. what is the distance between the observer and the sailboat |

## Find the rms voltage across the capacitorAn ac generator producing 20 V (rms) at 200 rad/s is connected in series with a 50-%uF057 resistor, The rms voltage (in volts) across the capacitor is |

## Find out the speed of the arrow as it leaves bowA stationary whistle emits a sound of 188Hz. If passengers in a car hear the whistle with a frequency of 198 Hz, how fast was the car moving? Make use of 340 m/s for the sound velocity. |

## How many turns must there be in the output coilThe generator at a power plant produces AC at 29,000 V. A transformer steps this up to 305,000 V for transmission over power lines, how many turns must there be in the output coil |

## What is the electric field amplitude at this distanceA radio antenna broadcasts a 1.0 MHz radio wave with 30.0 kW of power. What is the electric field amplitude at this distance |

## How many electrons are transferredHow many electrons are transferred. What is the smallest thickness of a soap film that would appear black if illuminated with 490 light? imagine there is air on both sides of the soap film. |

## Where will the end of the spring line up with ruler markIf a 2.00{rm kg} mass is now attached to the end of the spring, where will the end of the spring line up with the ruler marks? |

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