A single conservative force = (4.0x - 12) N where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 20 J at x = 0. (a) Write an expression for U as a function of x, with U in joules and x in meters. U(x) = (b) What is the maximum positive potential energy? (c) At what negative value of x is the potential energy equal to zero? (d) At what positive value of x is the potential energy equal to zero?

## Determine the magnitude of the butterflys displacementDetermine the magnitude of the butterflys displacement. |

## Identity all of your data, write the equationIf Jessica can accelerate at a speed of 5-m/s^2, how long will it take for her to reach a speed of 30.0 m/s. |

## What is the average speed for this new tripA car travels along a straight line at a constant speed of 58.5 mi/h for a distance d and then another distance d in the same direction at another constant speed. |

## How do the object and image heights compareAn object is five focal lengths from a concave mirror. How do the object and image heights compare |

## What is the centripetal acceleration of the childA 46.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m. What is the centripetal acceleration of the child |

## What is the speed of the arrow as it hits the orkAn arrow is fired from a castle tower at an angle of 40 degrees above horizontal, and with a speed of 62 m/s. What is the speed of the arrow as it hits the ork |

## Find positions of the foci-principal planes and focal lengthThe former is on the left in contact with air and the other in contact with a liquid of index 1.4 The refractive index of the glass is 1.50. Find the positions of the foci, principal planes, and focal length of the system.Use the matrix approach |

## Compute the density of the solventA cylindrical storage tank has a radius of 1.34 m. When filled to a height of 3.74 m, What is the density of the solvent |

## What will be the speed of the golf ballA golf ball is shot from a tee, elevated 20.0 m above the green, what will be the speed of the golf ball just before it hits the green, 20.0 m below where it started |

## What is the true distance between the pointsA 30-meter steel tape is correct at a temperature of 20.0(C). The distance between two points, as measured by this tape on a day when the temperature is 5 (C), is 25.970m. What is the true distance between the points? |

## What is the potential drop across capacitorThree capacitors with capacitances C1 = 2.9 nF, C2 = 3.1 nF, and C3 = 1.7 nF are wired to a battery with V = 14.3 V, What is the potential drop across capacitor 2 |

## Two cylindrical artificial bones are made of same materialTwo cylindrical artificial bones are made of the same material and length, one with twice the radius as the other. When the two have the same tension force applied, the larger bone stretches by what factor compared to the smaller bone? |

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