A capacitor consists of two concentric conducting spherical shells with radii R1 and R2 = 4.0R1. It has capacitance C = 4.0 pF, and is charged to a potential difference of 60.0 V. What is the energy stored in the capacitor? What is the charge on the capacitor when the electrical energy stored is 12.1 × 10?8 J? If the radius of the outer sphere is increased by a factor of 4.0 while the charge on the plates is kept constant, by what factor does the stored energy change?

Explain the molecular mass of the unknown : The freezing point depression of water is a rather small 1.86 deg C kg/mol. Addition of 0.100 g of an unknown compound to 2.50 g of water results in a decrease in the melting point of 2.3 deg C. What is the molecular mass of the unknown |

Find the original speed of the son : A father racing his son has three-fifths the kinetic energy of the son, who has half the mass of the father. What is the original speed of the son |

How many kilograms of water are put on the fire : A fire truck attaches two fire hoses to a hydrant to fight a fire. each hose has a diameter of 20 cm. How many kilograms of water are put on the fire in 30 minutes |

Explain enthalpy and entropy are not temperature dependent : Above what temperature, in °C, will the following reaction become spontaneous? Assume free energy, enthalpy, and entropy are not temperature dependent. |

By what factor does the stored energy change : A capacitor consists of two concentric conducting spherical shells with radii R1 and R2 = 4.0R1. It has capacitance C = 4.0 pF, and is charged to a potential difference of 60.0 V. by what factor does the stored energy change |

How much force must be applied to the piston : A cylinder with a cross-sectional area of 9.8 cm2 is fitted with a movable piston. How much force must be applied to the piston to maintain it in its new position |

What will be the vertical position of the boat : In the deep ocean, a water wave with wavelength 95 m travels at 12 m/s. What will be the vertical position of the boat 5.0 s later |

Describe a lewis dot structure for the molecule : Why is it difficult to construct a Lewis Dot structure for the molecule NO? What kind of molecule is this |

Find the maximum value of the magnetic field component : In a plane radio wave the maximum value of the electric field component is 5.17 V/m. Calculate the maximum value of the magnetic field component |

## What is the minimum thickness of the oil slick at that spotA scientist notices that an oil slick floating on water when viewed from above has many different rainbow colors reflecting off the surface. What is the minimum thickness t of the oil slick at that spot |

## Find the area of the resulting slickA ball on the porch rolls 60 {rm cm} to the porch's edge, drops 40 {rm cm}, continues rolling on the grass, and eventually stops 80 {rm cm} from the porch's edge. |

## What is the focal length of the converging lensWhen you plot 1/Do as a function of 1/Di for a converging lens, the Y-intercept of the best fit line turns out to be 0.055(cm-1). What is the focal length of the converging lens |

## What is the flux through the right face and the left faceA cube of side 8.50cm is placed in a uniform field E=7.50×103 N/C with edges parallel to the field lines, What is the net flux through the cube, What is the flux through the right face |

## Calculate the length of a pipeCalculate the length of a pipe that has a fundamental frequency of 694 Hz. (Take the speed of sound in air to be 343 m/s.) |

## How many electrons pass through the chestIf a charge of 0.30 C passes through a person's chest in 1.0 s, If this rate of charge transfer persists for 4.4s, how many electrons pass through the chest |

## The pulleys and the incline are frictionlessThe systems shown below are in equilibrium with m = 6.10 kg and θ = 35.0°. If the spring scales are calibrated in newtons, what do they read? Ignore the masses of the pulleys and strings and assume the pulleys and the incline are frictionless. |

## Find the magnitude of the average accelerationmake sure to label the graphs with units and values to indicate any critical points of the ball's motion. |

## Calculate the image position and heighta 1cm-tall object is 6cm in front of a converging lens with a focal length of 10cm. Use ray tracting to determine the location of the image on graph, Calculate the image position and height using the lens equation |

## Determine the fossil ageAn archaeologist uses carbon dating to find the age of some ancient fossils. Determine the fossil age |

## Find the focal length of the objectiveThe objective lens in a microscope with a 25.0 cm long tube has a magnification of -50.0 and the eyepiece has a magnification of20.0. What is the focal length of the objective |

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