The Gravitron is an amusement park ride in which riders stand against the inner wall of a large spinning steel cylinder. At some point, the floor of the Graviton drops out, instilling the fear in riders that they will fall a great height. However, the spinning motion of the Gravitron allows them to remain safely inside the ride. Most Gravitrons feature vertical walls, but the example shown in the figure has tapered walls of o. According to knowledgeable sources, the coefficient of static friction between typical human clothing and steel ranges between to . In the figure, the center of mass of a 55 kg rider resides 3.0 m from the axis of rotation. As a safety expert inspecting the safety of rides at a county fair, you want to reduce the chances of injury. What minimum rotational speed (expressed in rev/s) is needed to keep the occupants from sliding down the wall during the ride?

Uniform cylinder is pulled by a tractor to compact earth : A large roller in the form of a uniform cylinder is pulled by a tractor to compact earth. The cylinder has dimeter of 1.80 m and mass of 10,000 kg. If frictional losses can be ignored, what average power must the tractor provide to accelerate it from.. |

What is the radius of the inner sphere : Two concentric metal spheres are found to have a potential difference of 646.0 V when a charge of 2.816·10-8 C is applied to them. The radius of the outer sphere is 0.188 m. What is the radius of the inner sphere? |

Compute the final speed of the electron : In a particluar x-ray tube, an electron approaches the target moving at 2 108 m/s. It slows down on being deflected by a nucleus of the target, emitting a photon of energy 35 keV. Ignoring the nuclear recoil, but not relativity, compute the final spe.. |

How fast does it move after the bullet emerges : A 23-g bullet traveling 225 m/s penetrates a 3.2-kg block of wood and emerges cleanly at 185 m/s If the block is stationary on a frictionless surface when hit, how fast does it move after the bullet emerges? |

Occupants from sliding down the wall during the ride : The Gravitron is an amusement park ride in which riders stand against the inner wall of a large spinning steel cylinder. At some point, the floor of the Graviton drops out, instilling the fear in riders that they will fall a great height. |

Calculate the instantaneous acceleration of the particle : A particle moves along the x axis according to the equation x = 50t + 10t2, where x is in meters and t is in seconds. (a) Calculate the average velocity of the particle during the first 3.0 s of its motion. ? m/s (b) Calculate the instantaneous veloc.. |

What is speed of the arrow after passing through the target : An archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.50 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 35.0 m/s and passes through the target, which is stopped by the impact. Wh.. |

Magnetic flux through the curved surface of the cylinder : A long, straight wire carrying a current of 4.32 A is placed along the axis of a cylinder of radius 48.7 cm and a length of 2.10 m. Determine the total magnetic flux through the curved surface of the cylinder. |

What is the magnitude of the lift force acting on the plane : A jet airplane is in level flight. The mass of the airplane is m = 8830 kg. The plane travels at a constant speed around a circular path of radius R = 8.45 miles and makes one revolution every T = 0.112 hours. What is the magnitude of the lift force .. |

## Calculate the new frequency of the vertical springTwo different simple harmonic oscillators have the same natural frequency (f=9.50 Hz) when they are on the surface of the Earth. Calculate the new frequency of the vertical spring and mass |

## Calculate the capacitanceAn air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated by a distance of 1.70 mm, Calculate the electric field between the plates and Calculate the capacitance |

## How much has the rockets kinetic energy increasedA 3kg model rocket initially at rest experiences an average force of 3950N over a distance of 200 cm. How much has the rockets kinetic energy increased |

## Find the heading of the plane with respect to the groundYou are on an airplane traveling 30° south of due west at 180.0 m/s with respect to the air. What is the heading of the plane with respect to the ground |

## What is the average speed for the whole tripA runner runs 3.0 km, in a straight line, in 9.0 min and then takes 25 min to walk back to the starting point. What is the average speed for the whole trip |

## Estimate the mutual inductanceDetermine the mutual inductance per unit length between two long solenoids, one inside the other, whose radii are r1 and r2 (r2 |

## What is the pressure inside the hoseA garden hose is attached to a water faucet on one end and a spray nozzle on the other end. What is the pressure inside the hose |

## Determine at what speed does water enter the pipeA rectangular pipe carries water over a horizontal distance of 10m. At what speed does water enter the pipe |

## What is the magnitude of the force on the electronA very long solenoid of circular cross section with radius r= 5.4cm has n= 86.0 turns/cm of wire. An electron is sitting outside the solenoid, at a distance r= 5.90 cm from the solenoid axis. What is the magnitude of the force on the electron whil.. |

## Find the potential at point cPoints A, B, and C are at the corners of an equilateral triangle of side 5 m. Equal positive charges of 5 µC are at A and B, What is the potential at point C |

## Determine the electric potential differenceCharge of uniform density (80 nC/m^3) is distributed throughout a hollow cylinder region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm. Determine the magnitude of the electric field at a point which is 2.0 mm from the symmetry.. |

## What is the velocity of each stone when they cross pathsAt the same time a stone downward at 10 m/s from the roof of a 60 m tall building another is stone is thrown upward at 35 m/s from street level. What is the velocity of each stone when they cross paths |

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