Module 13-3 Gravitation Near Earth's Surface •17 (a) What will an object weigh on the Moon's surface if it weighs 100 N on Earth's surface? (b) How many Earth radii must this same object be from the center of Earth if it is to weigh the same as it does on the Moon? •18 Mor
Module 13-3 Gravitation Near Earth's Surface •17 (a) What will an object weigh on the Moon's surface if it weighs 100 N on Earth's surface? (b) How many Earth radii must this same object be from the center of Earth if it is to weigh the same as it does on the Moon? •18 Mor
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CHAPTER 13 GRAVITATION
Particle B, at xyz coordinates (2.00d, 1.00d, 2.00d), has mass 2.00m,,
and particle C, at coordinates (-1.00d, 2.00d, –3.00d), has mass
3.00m. A fourth particle D, with mass 4.00m, is to be placed near
the other particles. In terms of distance d, at what (a) x,(b) y,and (c) z
coordinate should D be placed so that the net gravitational force on
A from B, C, and D is zero?
shells, wher
and (c) c.
25
A SC
kg and a ra
force due
located a
the sphe
*16 Go In Fig. 13-40, a particle
dm
of mass m1 = 0.67 kg is a dis-
m
||-- dr
of the g
from the
tance d = 23 cm from one end of
L
a uniform rod with length L =
3.0 m and mass M = 5.0 kg. What
is the magnitude of the gravita-
tional force Fon the particle from the rod?
Figure 13-40 Problem 16.
acceler
center
the gr:
Module 13-3
Gravitation Near Earth's Surface
27
•17 (a) What will an object weigh on the Moon's surface if it
weighs 100 N on Earth's surface? (b) How many Earth radii must
this same object be from the center of Earth if it is to weigh the
same as it does on the Moon?
the i
Eart
inne:
taine
•18 Mountain pull. A large mountain can slightly affect the
direction of “down" as determined by a plumb line. Assume that
we can model a mountain as a sphere of radius R= 2.00 km and
density (mass per unit volume) 2.6 × 10³ kg/m³. Assume also that
we hang a 0.50 m plumb line at a distance of 3R from the sphere's
center and such that the sphere pulls horizontally on the lower
end. How far would the lower end move toward the sphere?
mas
and
face
cru
va
we
W
•19 SSM At what altitude above Earth's surface would the
gravitational acceleration be 4.9 m/s²?
20 Mile-high building. In 1956, Frank Lloyd Wright proposed
the construction of a mile-high building in Chicago. Suppose the
building had been constructed. Ignoring Earth's rotation, find
Lue change in your weight if you were to ride an elevator from the
sireet level, where you weigh 600 N, to the top of the building.
SL
E
2 Certain neutron stars (extremely dense stars) are
ievto be rotating at about 1 rev/s. If such a star has a radius of
20 kwhat must be its minimum mass so that material
face rem
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