A uniform circular disk (merry-go-round) of radius R=1.76 m and mass M=28.4 kg freely rotates about a vertical axis, which is perpendicular to the ground, with initial angular velocity omegai=2.35 rad/s. A cat of mass m=7.90 kg, climbing in a tree, which hangs over the disk, falls straight down onto the edge of the disk and rides on it. What is the magnitude of the angular velocity of the cat/disk system after the cat has landed?

State how to synthesize 2-methyl-2-pentene from alkyl halide : Show how to synthesize 2-methyl-2-pentene from an alkyl halide and an aldehyde or ketone, plus any other reagents. Show the products that forms when 3-phenylpropanal is allowed to mix with sodium hydroxide catalyst |

Compute what is the focal length of the lens : A single convex lens projects a focused image of an object onto a screen. If the lens is 15 cm from the object and and 36 cm from the screen, what is the focal length of the lens |

What is the power output of the bacterium : Work and Power problem in physics A bacterium moves through water at a constant velocity. The bacterium uses it's flagellum to push on the water behind it to help it overcome the drag force of the water opposing it's motion, what is the power outp.. |

3-phenylpropanal is permited to mix with sodium hydroxide : Show the product that forms when 3-phenylpropanal is allowed to mix with sodium hydroxide catalyst. |

Find the magnitude of angular velocity of the cat-dis system : A uniform circular disk (merry-go-round) of radius R=1.76 m and mass M=28.4 kg freely rotates about a vertical axis, What is the magnitude of the angular velocity of the cat/disk system |

Define gas can be made by reacting red-hot coal with steam : Synthesis gas can be made by reacting red-hot coal with steam. Estimate the temperature at which the equilibrium constant for the reaction is equal to 1. |

What is the speed of the center of mass of the cylinder : A uniform cylinder of mass m=6.30 kg and radius R=0.132 m is released from rest on an inclined plane (theta=32.7 deg), What is the speed of the center of mass of the cylinder just before it reaches the horizontal surface |

What is the maximum external price : What is the maximum external price, what will be total net income and what is the contribution margin ratio - how many units must be sold to earn net income of $300,000? |

Find the direction of the photon : An electron going east with speed ve = 0.4c collides with a proton going north with speed vp = 0.3c. Find the direction of the photon |

## Find the magnitude of the resulting magnetic fieldA sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere. |

## Find the equivalent resistanceA resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners. |

## What is the electric field at the locationQuestion: Field and force with three charges? What is the electric field at the location of Q1, due to Q 2 ? |

## What is the maximum displacement of the bridge deckWhat is the maximum displacement of the bridge deck? |

## What is the magnitude of the current in the wireWhat is the magnitude of the current in the wire as a function of time? |

## Introductory mechanics: dynamicsCalculate the smallest coefficient of static friction necessary for mass A to remain stationary. |

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