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 velocity of the particle at t = 3.0 s. ? m/s (c) Calculate the instantaneous acceleration of the particle at t = 3.0 s. ? m/s2

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 .. |

What was the speed of the lighter car just after collision : When cars are equipped with flexible bumpers, they will bounce off each other during low-speed collisions, thus causing less damage. In one such accident, a 1850car traveling to the right at 1.40 collides with a 1400 car going to the left at 1.10 .. |

## What is the magnitude of the net force on the motorcyclea 250-kg motorcycle goes around an unbanked turn of radius 13.7m at a steady 96.5 km/h. What is the magnitude of the net force on the motorcycle? |

## Estimate the acceleration of the rocketa 5000kg rocket takes off from the surface of the earth with an initial speed of 20m/s. determine the acceleration of the rocket |

## What is the perceived frequency of the soundA car is moving to the left at 20 m/s while a truck is moving to the right at 25 m/s. what is the perceived frequency, in Hz, of the sound by the driver of the car |

## Determines the kinetic energy of ball at highest pointA 47-g golf ball is driven from the tee with an initial speed of 52.0 m/s and rises to a height of 24.2 m. |

## The international space station iss the mass isthe international space station iss the mass is approximately 990000 pounds orbits the earth at an altitude of |

## Determine the angle between the string and the verticalA mass of 9.30 kg is suspended from a 1.45 m long string. It revolves in a horizontal circle, Calculate the angle between the string and the vertical |

## How long must the engines be firedAs a space craft approaches a planet, the rocket engines on it are fired to slow it down so it will go into orbit around the planet. how long must the engines be fired |

## What is the initial thermal energy of each2.0 g of helium at an initial temperature of 300 K interacts thermally with 8.0 g of oxygen at an initial temperature of 600K. What is the initial thermal energy of each |

## How far above the tabletop is the center of gravity of stackA penny has a mass of 2.5 and is 1.5 thick; a nickel has a mass of 5.7 and is 1.9 thick. how far above the tabletop is the center of gravity of the stack |

## Separated by a thin stretched fiber at the opposite edgeTwo pieces of optically flat glass (n = 1.50) touch at one edge and a separated by a thin stretched fiber at the opposite edge. Light of wavelength 500 nm is shone from above and 100 dark fringes are counted. How thick is the fiber? |

## What is the coefficient of linear expansion of this materialA car travelling in a large circle passes by the motorcycle that is travelling in a straight line from North to South. Both of their speedometers read 10m/s. |

## What is the new rotational velocityA spinning object has a moment of inertia of 1.6 kg*m2. It is rotating at a rate of 1rad/s. If the moment of inertia increases to 3 kg*m2, what is the new rotational velocity |

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