Find the x- and y-coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of plywood with the upper right quadrant removed as shown in the figure below. The dimensions of the cutout are a = 4.10 ft and b = 2.10 ft. HINTS: Think of the board as consisting of two rectangular pieces: one piece that is everything to the left of "a", and one rectangle that is everything to the right of "a". Find the x,y location of the centers of gravity of these two rectangles. Then, find the final center of gravity of two "point masses" at those locations. This will be the center of gravity of the board.

What is the minimum thickness of coating : What is the minimum thickness of coating which should be placed on a lens in order to minimize reflection of 646 nm light? The index of refraction of the coating material is 1.32 and the index of the glass is 1.57. |

Calculate the distance between the two slits : Two narrow slits are illuminated by a laser with a wavelength of 537 nm. The interference pattern on a screen located x = 5.50 m away shows that the second-order bright fringe is located y = 6.00 cm away from the central bright fringe. Calculate the .. |

How far does the putty-block system compress the spring : A 0.413 kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 24.6 N/m. The block rests on a frictionless surface. A 0.0500 kg wad of putty is thrown horizontally at the block, hitting it with an i.. |

Find the final speed of both vehicles after the collision : A 667 kg car stopped at an intersection is rear-ended by a 1600 kg truck moving with a speed of 13.5 m/s. If the car was in neutral and its brakes were off, so that the collision is approximately elastic, find the final speed of both vehicles after t.. |

Find the x- and y-coordinates of the center of gravity : Find the x- and y-coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of plywood with the upper right quadrant removed as shown in the figure below. The dimensions of the cutout are a = 4.10 ft and b = 2.10 ft. HINTS: Think .. |

What is the direction from first oasis to the second oasis : Starting from one oasis, a camel walks 25 km in a direction of 30 degrees south of west and then walks 30 km toward the north to a second oasis. What is the direction from the first oasis to the second oasis? |

What was the initial distance from the shuttle to astronaut : A 96 kg astronaut and a 1100 kg satellite are at rest relative to the space shuttle. The astronaut pushes on the satellite, giving it a speed of 0.25 m/s directly away from the shuttle. Seven-and-a-half seconds later the astronaut comes into contact .. |

Clearance concept for macroscopic view of chemical removal : Consider the “clearance” concept for the macroscopic view of chemical removal by kidney. The effective volume in a human body is about 18 liters. The clearance of a person for a specific chemical is K = 2L/hr. (a). Determine the concentration of t.. |

Water heater consisting of a metal coil : A water heater consisting of a metal coil that is connected across the terminals of a 17.0-V power supply is able to heat 140. mL of water from room temperature to boiling point in 70.0 s. What is the resistance of the coil? |

## Compute the new angular speed of the merry-go-roundA playground merry-go-round of radius R = 1.40 m has a moment of inertia I = 255 kg Â· m2 and is rotating at 9.0 rev/min about a frictionless vertical axle. What is the new angular speed of the merry-go-round |

## Calculate the total angular momentum of our moonCalculate the total angular momentum of our Moon relative to the center of the Earth. You may assume that the Moon is a uniform sphere |

## What are the strength and direction of the electric fieldA thin horizontal 10cm x 10cm copper plate which is 1 mm thick has 1010 excess electrons. If the electrons are uniformly distributed, what are the strength and direction of the electric field a) 0.1 mm above the top surface of the plate? b) in the ce.. |

## What is her speed when the spring''s length is 1, 2 mA standardized biological microscope has an 8.0--focal-length objective. What focal-length eyepiece should be used to achieve a total magnification of. |

## What is the overall efficiency of the two enginesPractical steam engines utilize 450°C steam, which is later exhausted at 250°C. What is the overall efficiency of the two engines |

## A 0089 kg bullet is traveling at 338 ms when it strikes a1.a 0.089 kg bullet is traveling at 338 ms when it strikes a block of wood. if the bullet penetrates 0.74 m into the |

## How many phase changes do the reflected rays undergoA sheet of glass (n = 1.50) is coated with a 500 nm thick layer of cubic zirconia (n = 2.18). How many phase changes do the reflected rays undergo |

## What is the instantaneous power outputThe work performed as a function of time for a process is given by W = at3 , where a = 2.4 J/s3. What is the instantaneous power output at t = 2.6 s |

## What charge does the end of metal rod closest to positiveA positively charged rod is brought close to one end of an uncharged metal rod but does not actually touch it. What type of charge does the end of the metal rod closest to the positively charged rod acquire? |

## Calculate the image position and heightA 3.1-cm-tall object is 47 cm in front of a converging lens that has a 11.8 cm focal length. Calculate the image position and height. position cm height cm. |

## What is the factor of safety in the brick columnWhat is the stress and strain in a 2 meter high, .025 m diameter brick column that supports a mass of 100000 kg? What is the factor of safety in the brick column |

## What is a gyroscopeWhat is a gyroscope? Discuess the role of angular momentum in operation of a gyrosope. Provide examples of pratical applications of gyryscopes |

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