A bullet is fired through a board 10.0 cm thick in such a way that the bullet's line of motion is perpendicular to the face of the board. The initial speed of the bullet is 400 m/s and it emerges from the other side of the board with a speed of 300 m/s. (a) Find the acceleration of the bullet as it passes through the board. (b) Find the total time the bullet is in contact with the board.

Information-normal and binomial distributions : A college would like to have an entering class of 1200 students. Because not all students who are offered admission accept, the college admits more than 1200 students. |

Expected number of persons in the sample : About 72% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the expected number of persons, in the sample, who buy their dog holiday presents. |

Calculate the the electrical repulsion : Calculate the the electrical repulsion that each bag exerts on the other. Imagine two 2.0{\rm g} bags of protons, one at the earth's north pole and the other at the south pole. |

Negative binomial probability distribution : Determine a simple algebraic relationship between the negative binomial probability P(x) and the binomial probability for the probability of n successes in x trials. |

Find the acceleration of bullet as it passes through board : A bullet is fired through a board 10.0 cm thick in such a way that the bullet's line of motion is perpendicular to the face of the board. The initial speed of the bullet is 400 m/s and it emerges from the other side of the board with a speed of 30.. |

Probability of a fatal accident over a lifetime : The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your rea.. |

Mean and variance-binomial distribution : A television station estimates that 50% of college students watch the super bowl. For a sample of 120 students selected at random, what is the mean and variance of the number of students who watch the game? |

Stocks-binomial probability : Certain stocks are recommended each month by a monthly magazine. If 40% of the stocks recommended advance at least 20%, what is the probability that of the five stocks most recently recommended |

Two independent alternators to provide electrical power : A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the oth.. |

## How various people are at the gameAn 86kg man drops from rest on a diving board 3.0m above the surface of the water and comes to rest 0.55s after reaching water. What is the net force on the diver as he is brought to rest. |

## How much friction force should the brake apply to the rimHow high will a 1.85 rock go if thrown straight up by someone who does 75 of work on it? Avoid air resistance. |

## How many beats per second are heardA layer of transparent plastic (n = 1.63) on glass (n = 1.52) looks dark when viewed in reflected light whose wavelength is 576 nm in vacuum. Find out the two smallest possible nonzero values for the thickness of the layer. |

## What is the car speed at the bottom of the dipThe passengers in a roller coaster car feel 50% heavier than their true weight as the car goes through a dip with a 10.00 radius of curvature. What is the car's speed at the bottom of dip? What is the car's speed at the bottom of the dip? |

## How much does the fully extended cable stretchA hunter aims directly at the target (on the same level) 115 m away. If the bullet leaves the gun at a speed of 205 m/s, by how much will it miss target. |

## Which persons glasses will be useful in starting a fireA cylindrical container 1.1 tall contains mercury to a certain depth. The rest of the cylinder is filled with water.If the pressure at the bottom of cylinder is two atmospheres, what is the depth. |

## How far up hill will coast before starting to roll back downA molecule in air is moving at a speed of 459 m/s. How various meters would the molecule move during 7ms if it didn't collide with any other molecules. |

## What is the average power output of the laserThe intensity of a cylindrical laser beam is 0.800 {rm W}/ {rm m} ^ {2}. The cross-sectional area of the beam is 3.0 times 10^ {- 4} {rm m} ^ {2} and the intensity is uniform across the cross section of the beam. |

## What were the new speeds of man and sonAn opera singer in a convertible sings a note at 600 whereas cruising down the highway at 81. What is the frequency heard by a person standing beside the road in front of car? What is the frequency heard by the person standing beside the road behi.. |

## What effect would change have on an initial horizontal spedA golfer drives a 0.046kg golf ball from an elevated tee, giving the ball an initial horizontal velocity of 45 m/s. (a) what is the magnitude of the average force exerted by the club on the ball if the contact time for the golf club on the ball du.. |

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