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Chapter 1: Q12DQ (page 294)
A cylindrical body has mass M and radius R. Can the mass be distributed within the body in such a way that its moment of inertia about its axis of symmetry is greater than? Explain.
No, it is not possible that the moment of inertia about its axis of symmetry will be greater than.
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As a test of orienteering skills, your physics class holds a contest in a large, open field. Each contestant is told to travel 20.8 m due north from the starting point, then 38.0 m due east, and finally 18.0 m in the direction 33.0掳 west of south. After the specified displacements, a contestant will find a silver dollar hidden under a rock. The winner is the person who takes the shortest time to reach the location of the silver dollar. Remembering what you learned in class, you run on a straight line from the starting point to the hidden coin. How far and in what direction do you run?
Four astronauts are in a spherical space station. (a) If, as is typical, each of them breathes about 500 cm3 of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air?
How many years older will you be 1.00 gigasecond from now? (Assume a 365-day year.)
A ship leaves the island of Guam and sails 285 km at 62.0掳 north of west. In which direction must it now head and how far must it sail so that its resultant displacement will be 115 km directly east of Guam?
The most efficient way to send a spacecraft from the earth to
another planet is to use a Hohmann transfer orbit(Fig. P13.79). If the orbits of
the departure and destination planets are circular, the Hohmann transfer orbit
is an elliptical orbit whose perihelion and aphelion are tangent to the orbits of
the two planets. The rockets are fired briefly at the departure planet to put the spacecraft into the transfer orbit; the spacecraft then coasts until it reaches
the destination planet. The rockets are then fired again to put the spacecraft
into the same orbit about the sun as the destination planet. (a) For a flight from
earth to Mars, in what direction must the rockets be fired at the earth and at
Mars: in the direction of motion or opposite the direction of motion? What
about for a flight from Mars to the earth? (b) How long does a one-way trip
from the earth to Mars take, between the firings of the rockets? (c) To reach
Mars from the earth, the launch must be timed so that Mars will be at the right
spot when the spacecraft reaches Mars鈥檚 orbit around the sun. At launch, what
must the angle between a sun鈥揗ars line and a sun鈥揺arth line be? Use
Appendix F.
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