A machine does work at a rate given by Pct^2 , where c = 15W/s^2 and t is time. Find the work done by the machine between 15s and 20s? huh?

Explain the molar solubility in water be the same as hcl : For which of the following substances will the molar solubility in water be the same as that in an HCl or NH3 solution |

Determine what is the efficiency of the solar cell : A solar cell has a light-gathering area of 10 cm2 and produces 0.2 A at 0.8 V (DC) when illuminated with S = 1000 W/m2 sunlight. What is the efficiency of the solar cell |

To decrease the body temperature : To decrease the body temperature of a 66-kg person by 1.0 C , what mass of alcohol must be evaporated from the person's skin? Ignore the heat involved in raising the temperature of alcohol to its boiling point (why?) and approximate the human body as.. |

System when the stick is pivoted about axis perpendicular : A particle of mass 0.450 kg is attached to the 100-cm mark of a meter stick of mass 0.125 kg. The meter stick rotates on a frictionless, horizontal table with an angular speed of 2.00 rad/s. |

Find the work done by the machine : A machine does work at a rate given by Pct^2 , where c = 15W/s^2 and t is time. Find the work done by the machine between 15s and 20s? huh |

What is the speed at the bottom of the hill : a hoop of mass M=2 kg and radius R=0.4 m rolls without slipping down a hill. what is the speed Vfinal at the bottom of the hill |

Find the atoms maximum speed : An atom in a solid vibrates at 10THz with amplitude 10pm. Find the atom's maximum speed |

Explain the sum of the coefficients in the balanced equation : The following reaction occurs in basic solutions. What is the sum of the coefficients in the balanced equation. MnO4- + NH3 ----> NO3- + MnO2 |

Determine what is the oscillators speed : A simple harmonic oscillator has spring constant k = 6.6N/m , amplitude A = 12cm , and maximum speed 4.6m/s. What's the oscillator's speed when it's at x = 5.8cm |

## Calculate the speed of the elevatorAn elevator cable breaks when a 975 kg elevator is 24.5 m above the top of a huge spring (k = 8.00 x 10^4 N/m) at the bottom of the shaft. Calculate the speed of the elevator just before striking the spring |

## Find the flow speed of the medicine through the needleA 3.5 mL syringe has an inner diameter of 5.0 mm, a needle inner diameter of 0.24 mm, and a plunger pad diameter, The nurse empties the syringe in 2.3 s. What is the flow speed of the medicine through the needle |

## Estimate the average power generated by the lifting forceA helicopter, starting from rest, accelerates straight up from the roof of a hospital. The lifting force does work in raising the helicopter. What is the average power generated by the lifting force |

## Determine how much is the rope stretchedA 82.5-kg climber is scaling the vertical wall of a mountain. How much is the rope stretched when it breaks his fall and momentarily brings him to rest |

## Calculate the mass of neptuneThe planet Neptune has a satellite, Proteus, which travels in an orbit 1.180*10^8 m with a period of 1.12 days. Calculate the mass of Neptune |

## Determine the current and powerAssume that a 16 volt energy source is in a circuit that has a resistance of 10 ohms. Determine the current and power |

## What is the pressure without changing the temperatureA storage tank at STP contains 19.1 kg of nitrogen What is the volume of the tank. What is the pressure if an additional 15.7kg of nitrogen is added without changing the temperature. |

## How much time elapses from start to stopAn electric vehicle starts from rest and accelerates at a rate of 1.6 m/s2 in a straight line until it reaches a speed of 20 m/s. The vehicle after that slows at a constant rate of 1.4 m/s2 until it stops. (1) How much time elapses from start to s.. |

## Determine what is the voltage of the batteryOne has a capacitance of 2.0 µF and the other a capacitance of 4.0 µF. These two capacitors together store 4.50 10-5 C of charge. What is the voltage of the battery |

## How many minutes does he saveRichard is driving home to visit his parents. 135{\rm mi} of the trip are on the interstate highway where the speed limit is 65{\rm mph}. How many minutes does he save |

## Find how long are the skid marksA 1100 car traveling at a speed of 23 skids to a halt on wet concrete where = 0.40. How long are the skid marks |

## Commutation relations of the angular momentumProve that, given two angular momenta, L and S, their sum J = L+ S satisfies the commutation relations of the angular momentum (and therefore has the all the general properties of an angular momentum, e.g., the ladder structure, etc.). |

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