06_InstSolManual_PDF_Part21 - Circular Motion and...

6.59.
Set Up: The planet has mass and density The volume of a
sphere is
Solve: (a) so
(b)
Reflect: so g is proportional to for planets of the same density. m is larger
by a factor of 14 compared to earth, so g is larger by a factor of
6.60.
Set Up: On earth, On Mars,
The artificial gravity acceleration is
Solve: (a)
(b)
(c) The free-body diagram is given in Figure 6.60. The diagram is drawn for when the rim of the station is to the right
in the figure.
Figure 6.60
6.61.
Set Up: The earth has mass radius and rotational period
Use coordinates for which the direction is toward the center of the earth. The free-
body diagram for Sneezy at the equator is given in Figure 6.61.
Figure 6.61
Solve: At the north pole Sneezy has and the gravitational force exerted by the earth.
Sneezy has mass w
/
g 5 48.47 kg.
T 5 w 5 475.0 N, a 5 0
x
y
w 5 mg
T
a
rad
1 y T 5 24 hr 5 8.64 3 10 4