Homework #5

Homework due in class, Nov 07. Remember to show your work, neatly.

1) Calculate the angular speed for the following (6 points):

  • a 10 kg child on a 10 meter merry-go-round moving at 10 mph
  • a 100 kg satellite in geosynchronous orbit
  • the Earth around the Sun

    2) Calculate the angular momentum for the following (6 points):

  • a 10 kg child on a 10 meter merry-go-round moving at 10 mph
  • a 100 kg satellite in geosynchronous orbit
  • the Earth around the Sun

    3) Calculate the kinetic energy of the following (6 points):

  • a 10 gm baseball moving at 100 mph, 6 feet above the ground
  • a 20,000 kg airplane at 25,000 feet traveling at 350 mph
  • a 100 kg satellite in geosynchronous orbit

    4) Calculate the potential energy of the following (6 points):

  • a 10 gm baseball moving at 100 mph, 6 feet above the ground
  • a 20,000 kg airplane at 25,000 feet traveling at 350 mph
  • a 100 kg satellite in geosynchronous orbit

    5) If the Earth were to suddenly increases in radius by a factor of 3, calculate its new mean density. What is its new escape velocity? How would the Moon's orbit be effected? (6 points)