A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.3 m3/min how fast is the water level rising when the water is 10 cm deep?

Find out the gravitational potential energy : A 120-N child is in a swing that is attached to ropes 2.20 m long. Find out the gravitational potential energy associated with the child relative to her lowest position at the following times. |

Replacement from an ordinary deck of playing cards : Suppose that you select 2 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a king, what is the probability that the second card that you select is a heart? |

Without good measurement-statistical analysis is worthless : Evaluate this statement: "Without good measurement, statistical analysis is worthless." Do you believe it is an overgeneralization. |

What volume of nitrogen gas is formed : When ammonia is burned in oxygen, free nitrogen gas and water are produced. What volume of ammonia will react completely with 25.0 L of oxygen. |

Explain how fast is the water level rising : If the trough is being filled with water at the rate of 0.3 m3/min explain how fast is the water level rising when the water is 10 cm deep? |

What is causing the mans condition : A doctor in a hospital emergency room sees an obese patient who has come into the emergency room. He was pleased to report that has been losing weight rapidly but complained that he has lost energy and is tired most of the time. |

How much ammonium hydroxide is needed : How much ammonium hydroxide is needed to react completely with 75.0g of copper (2) nitrate in a double replacement reaction. |

Explain by how much heat per second is being removed : The interior temperature is kept at 5°C, while the temperature at the outside surface is 25°C. Explain by how much heat per second is being removed from the unit? |

How large a sample to take to compute true proportion : How large a sample must one take to be 90% confident that the estimate is within 0.05 of the true proportion of women over 55 who are widows? |

## Define the speed of the arrow as it leaves the bowAlgol consists of a 3.7 MSun main-sequence star and a 0.8 MSun subgiant. Why does this seem surprising, as a minimum at first. |

## For how long must the light remain yellow for the truckAssuming the truck continues at constant speed from this minimum distance, for how long must the light remain yellow for the truck to completely clear the intersection before the light turns red. |

## What is the angular velocity of the diskWhat is the angular velocity of the disk. If a single bit requires 5 µm of length along the motion direction, how many bits/second can the writing head write when it is 3.0 cm from the axis? display all work and explanations. |

## What would be the result of a measurementA crate of 31.9- tools rests on a horizontal floor. You exert a gradually increasing horizontal push on it and observe that the crate just begins to move while your force exceeds 345. After that you must reduce your push to 247 to keep it moving at a.. |

## Find out the fundamental frequencyA 1260 kg is pulling a 335 kg trailer. Together the car and trailer have the acceleration of 2.15 m/s squared. Find out the net force on the car-trailer combination. |

## Total distance the bird travels before the trains collideIn a bicycle race, the leader is travelling with a constant velocity of 11.10 m/s and is 10.0 m ahead of the second-place cyclist. The second place cyclist has a velocity of 9.50 m/s and an acceleration of 1.20 m/s squared. How much time elapses b.. |

## Find the x component of the force vectorThe block is acted upon by its weight w=200lb, a horizontal force Q=600 lb and pressure P exerted by the inclined plane. The resultant R of these forces is up and parallel to the incline there by sliding the block up it. Establish P and R. |

## What are the plane speed and direction relative to groundA place kicker should kick a football from a point 32 m (about 35.0 yd) from the goal, and the ball should clear the crossbar, which is 3.050 m high. When kicked, the ball leaves the ground with a speed of 21.0 m/s at an angle of 49° to the horizo.. |

## Find the period of the motionA Simple Harmonic Oscillator consisting of a 305 g mass and a spring is set oscillating on a smooth flat surface. If the greatest speed of the mass is 1.50 m/s and the spring constant of the spring is 2.00 N/m. |

## What is speed of the car just before it lands safelyWhat is speed of the car just before it lands safely |

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