A charged particle enters a uniform magnetic field and follows the circular path shown in the drawing. The particle's speed is 101 m/s, the magnitude of the magnetic field is 0.212 T, and the radius of the path is 887 m. Determine the mass of the particle, given that its charge has a magnitude of 5.82 × 10-4 C.

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 |

Calculate the optimum production plan : Calculate the optimum production plan the firm should follow next year given the above constraints. |

## Calculate the average magnitude of the induced emfStarting from rest, you pull the string with a constant force F = 8 N along a nearly frictionless surface. At the instant while the center of the disk has moved a distance x = 0.12 m, a length d = 0.27 m of string has unwound off the disk. |

## What is the speed of the car at the topA roller coaster car travels down a hill and is moving at 18 m/s as it passes through a section of straight, horizontal track. what is the speed of the car at the top |

## Define the magnitude of the external fielddefine the magnitude of the external field. The Speed time graph of a particle moving along a fixed direction is shown below. Obtain the distance travelled by the particle between t=0 and t=10s. What is the average of the particle over this interva.. |

## Find the maximum voltage of the sourceA series RLC circuit has a 242 Hz resonant frequency, and is driven by an AC voltage source at 315 Hz. Find the maximum voltage of the source |

## At what speed is the bullet firedA bullet of mass 5.2 g is fired horizontally into a 7.1 kg wooden block at rest on a horizontal surface. At what speed is the bullet fired |

## A 9.22 kg ball, hanging from the ceilingA 9.22 kg ball, hanging from the ceiling by the light wire 145.00 cm long, is struck in an elastic collision by a 1.20 kg ball moving horizontally at 6.46 m/s just before the collision. |

## What is the amplitude of the motionA girl rides an escalator that moves her upward at a constant speed. As the girl rises, how do her gravitational energy and kinetic energy change. |

## What is the increase in temperature of bulletAn 8-kg ball hanging from the ceiling by a light wire 135cm long is struck in an elastic collision by a 2 kg ball moving horizontally at 5.00 m/s just before the collision. Find the tension in the wire just after collision. |

## How much work you did during the holding periodYou go to a gym and lift a 245-kg mass 2.13 m over the ground? You hold it for 10 seconds. How much work you did during the holding period |

## Calculate the satellites kinetic energyIn order better to map the surface features of the Moon, a 325-kg imaging satellite is put into circular orbit around the Moon at an altitude of 1.31 × 102 km |

## Illustrate what acceleration will bring you to rest right atAssume that your reaction time is 0.50 s and that your car brakes with constant acceleration. How far are you from the intersection when you begin to apply the brakes? Illustrate what acceleration will bring you to rest right at the intersection? |

## Find the initial charge on each sphereThen, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.100 N. Using this information, find the initial charge on each sphere, q1 and .. |

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