Q. For a spherical celestial object of radius R, acceleration due to gravity g at a distance x from the center of the object is g = g0R2/x2, where g0 is the acceleration due to gravity at the object's surface and x > R. For the moon, take g0 = 1.63 m/s2 and R = 3200 km. If a rock is released from rest at a height of 3R above lunar surface, with what speed does rock impact the moon? Hint: Its acceleration is a function of position and increases as the object falls. So do not use constant acceleration free-fall equations, but go back to basics.

## Find the output mechanical power of the lift stationsuppose an electric motor continuously operating with average power 4.65 kW runs the pump. Find its efficiency. |

## Find the pressure that each ski exerts on the snowA basketball of mass 610g and circumference 76cm is rolling without slipping on a gym floor. Treating ball as a hollow sphere, what fraction of its total kinetic energy is associated with its rotational motion. |

## What is the speed of the air as it leaves the nozzleFind out the work completed by neoconservative forces in stopping plane. At the nozzle exit, diameter is 2.5 cm and the density is 1.29kg/m^3. What is the speed of the air as it leaves the nozzle. |

## What are ranges of the rms speeds of the moleculesThe reflected sound is afterwards mixed with the transmitted sound, and 85 beats per second are detected. The speed of sound in body tissue is 1520m/s. compute the speed of the fetal heart wall at the instant this measurement is made. |

## What was the velocity of the block at time tA ball dropped from a height of 4.00 m makes an elastic collision with the ground. Assuming no mechanical energy is lost due to air resistance, a) show that the ensuing motion is periodic, b) find the period of the motion. |

## What amount of water would have been displacedA child looks at his reflection in a spherical Christmas tree ornament 8cm in diameter, and sees his image reduced by half. How long is his face from the ornament. |

## Calculate the maximum current in the inductorA 2.30-? F capacitor is fully charged by being connected to a 6.0-V battery. The fully charged capacitor is then connected to a 0.250-H inductor. |

## What is the car''s minimum breaking distanceA bus is traveling up a hill at a speed of 34m/s. The hill is 23 degrees relative to horizontal and the coefficient of static friction between the bus's tires and the road is 0.6. What is the car's minimum breaking distance? |

## What is the mirrors focal lengthThe two springs each have a spring constant of 11. They are stretched by 1 as a current passes through the wire. How big is the current. |

## What estimated distance will the car travelA car dealer claims that his product will accelerate at a constant rate from rest to a speed of 200 km/hr in 8s. What estimated distance will the car travel. |

## What is the minimum coefficient of frictionThree capacitors are arranged. C1 has a capacitance of 3 pF, C2 has a capacitance of 6 pF, and C3 has a capacitance of 9 pF. Find out the voltage drop across the entire arrangement if the voltage drop across C2 is 249 V. |

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