A 21.0-kg box rests on a frictionless ramp with a 14.3° slope. The mover pulls on a rope attached to the box to pull it up the incline. If the rope makes an angle of 38.4° with the horizontal, what is the smallest force F the mover will have to exert to move the box up the ramp?

## Compute the time t for the pencil to hit the groundThe bolts on a car wheel require tightening to the torque of 90 N•m. If a 30 cm long wrench is used, what is the magnitude of the force necessary when the force applied at 53° to the wrench. |

## What is the ratio of the radii of their circular pathsa proton and an electron have the same kinetic energy upon entering a region of constant magnetic field. What is the ratio of the radii of their circular paths? |

## What is the mass of the liquid waterA block of ice of mass 0.4 kg and initial temperature T = 0 oC is placed in a sealed insulated container full of Helium gas, What is the mass of the liquid water |

## Determine the refractive index of the glassA ray of light is traveling in a glass cube that is totally immersed in water. What is the refractive index of the glass |

## Find the radius of circle of light formed on water surfaceA point source of light is at the bottom of a koi pond, at a depth of 0.525 meters. What is the radius of the circle of light formed on the water's surface |

## Determine the charge on the sphereA singly charged ion of unknown mass moves in a circle of radius 14cm in a magnetic field of 8.2 T. The ion was accelerated through a potential difference of 9kV before it entered the magnetic field.What is the mass of the ion. |

## How many electrons are transferredHow many electrons are transferred. What is the smallest thickness of a soap film that would appear black if illuminated with 490 light? imagine there is air on both sides of the soap film. |

## Find the mass in interplanetary spaceIn preparation for this problem, review Conceptual Example 7. A space traveler whose mass is 115 kg leaves earth. What are his mass in interplanetary space where there are no nearby planetary objects |

## What is her average speed over the entire tripA person walks first at a constant speed of 4.80 m/s along a straight line from point a to point b, What is her average speed over the entire trip |

## What was the mass of the cube of iceA grinding wheel of radius 0.35 m rotating on a frictionless axle is brought to rest by applying a constant friction force tangential to its rim. The constant torque produced by this force is 75N · m. Find the magnitude of the friction force. |

## Determine image distance for the treeA nearsighted student with a far point of 6.30 m wears contacts that allow him to see distant objects clearly. determine image distance for the tree |

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