A nonconducting spherical shell, with an inner radius of 4 cm and an outer radius of 6 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The volume charge density ? is the charge per unit volume, with the unit coulomb per cubic meter. For this shell ? = b/r where r is the distance in meters from the center of the shell and b = 3 ? C/m2. What is the net charge in the shell? C

What is the separation between the slits : Two narrow slits are used to produce a double slit diffraction pattern with monochromatic light (lambda=450 nm) onto a screen that is 9.5 m away. If the distance between two adjacent dark fringes near the center of the pattern is 1.5 cm, what is the .. |

A projectile explodes at the top of its trajectory : A projectile explodes at the top of its trajectory and breaks into two pieces with one piece having five times the mass of the other. The smaller piece returns to precisely the same point at which the projectile was launched. Where does the bigger pi.. |

What it the lateral magnication : An object with height of 5 cm is placed 30 cm away from a diverging lens with focal length f = - 20 cm. Find the location and height of the image. What it the lateral magnication? Is the image upright or inverted? Real or virtual? Use a ruler to draw.. |

What is the intensity of the outgoing light : Unpolarized light with intensity I0 is sent ?rst through a polarizer with the polarizing axis aligned in the vertical direction, and then through a second polarizer with the polarizing axis oriented 30° from the vertical. What is the intensity of .. |

A nonconducting spherical shell with an inner radius : A nonconducting spherical shell, with an inner radius of 4 cm and an outer radius of 6 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The volume charge density ? is the charge per unit volume, with the .. |

The index of refraction of the unknown liquid : A laser beam is directed from air (n = 1.0) into an unknown liquid. The angle of incidence is measured to be 60° and the angle of refraction is measured to be 45°. What is the index of refraction of the unknown liquid? |

Two identical conducting sphere : Two identical conducting spheres, fixed in place, attract each other with a force of 0.083 N when their center to center separation is 45.00 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres have a.. |

Placed at the left end so that the teeter-totter is balanced : A teeter-totter is made of a 5.400 m long plank with a mass of 58.0 kg, with a fulcrum (pivot point) located 2.900 m from the right end. If a box with a mass of 94.0 kg is placed at the extreme right end of the plank, what mass must be placed at the .. |

Calculate magnitude of electrostatic force between particles : A particle of charge of +3.50 10-6 C is 12.0 cm distant from a second particle of charge of -2.10 10-6 C. Calculate the magnitude of the electrostatic force between the particles. N |

## Estimate the index of refraction of the plasticA beam of light traveling in air is incident on a transparent plastic material at an angle of incidence of 49°. What is the index of refraction of the plastic |

## Calculate what is the mass of the unknown elementA sample containing beryllium (atomic mass 9 u), aluminum (27 u), and an unknown element is placed in a mass spectrometer. What is the mass of the unknown element |

## How far does it travel during that timeA car travels with an initial velocity of 2 meters per second, at initial position of 0 meters with an accerleration of 2 meters per second at time of 2.0 seconds |

## Explain how far will the car travel before it overtakesAt the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane. Explain how far will the car travel before it overtakes the truck? |

## What is the velocity with which it returns to ground levelYou throw a ball vertically upward so that it leaves the ground with velocity 2.49 m/s. (a) What is its velocity when it reaches its maximum altitude. (b) What is its acceleration at this point. |

## How long does it take the bullet to come to restA rifle with a barrel length of 59cm fires a 10g bullet with a horizontal speed of 440m/s. How long does it take the bullet to come to rest after entering the wood |

## Compute the velocities of the two objects after collisionConsider an elastic collision in one dimension that involves objects of mass 2.7 kg and 4.3 kg. Find the velocities of the two objects after the collision |

## Find the magnitude of the average force of the wall on ballA tennis ball (m = 0.2 kg) is thrown at a brick wall. It is traveling horizontally at 16 m/s just before hitting the wall, find the magnitude of the average force of the wall on the ball |

## What is the increase in the cubes surface areaAt 18°C, a brass cube has an edge length of 32 cm. What is the increase (in square cm) in the cube's surface area |

## Find what is the impedance of the circuitA sinusoidal voltage ?v = (75 V) sin (100t) is applied to a series RLC circuit with L = 50 mH, C = 160 ?F, and R = 34 ?. What is the impedance of the circuit |

## What is the beat frequency between the third modesTwo clarinets are sounding tones of 190 Hz and 192 Hz, respectively. What is the beat frequency between the third modes |

## What is the rotational inertia of the pulleyA 2.93 kg stone is tied to a thin, light wire wrapped around the outer edge of the uniform 9.83 kg cylindrical pulley, What is the rotational inertia of the pulley |

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