Problems13 - Chapter 13 Problems 1, 2, 3 = straightforward,...
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Chapter 13 Problems
= straightforward, intermediate,
Section 13.1 Newton’s Law of Universal
Problem 17 in Chapter 1 can also be assigned
with this section.
Determine the order of magnitude of the
gravitational force that you exert on another
person 2 m away. In your solution state the
quantities you measure or estimate and their
Two ocean liners, each with a mass of
40 000 metric tons, are moving on parallel
courses, 100 m apart. What is the magnitude of
the acceleration of one of the liners toward the
other due to their mutual gravitational
attraction? Treat the ships as particles.
A 200-kg object and a 500-kg object are
separated by 0.400 m. (a) Find the net
gravitational force exerted by these objects on a
50.0-kg object placed midway between them.
(b) At what position (other than an infinitely
remote one) can the 50.0-kg object be placed so
as to experience a net force of zero?
Two objects attract each other with a
gravitational force of magnitude 1.00
when separated by 20.0 cm. If the total mass of
the two objects is 5.00 kg, what is the mass of
Three uniform spheres of mass
2.00 kg, 4.00 kg, and 6.00 kg are placed at the
corners of a right triangle as in Figure P13.5.
Calculate the resultant gravitational force on the
4.00-kg object, assuming the spheres are
isolated from the rest of the Universe.
During a solar eclipse, the Moon, Earth,
and Sun all lie on the same line, with the Moon
between the Earth and the Sun. (a) What force is
exerted by the Sun on the Moon? (b) What force
is exerted by the Earth on the Moon? (c) What
force is exerted by the Sun on the Earth?
Section 13.2 Measuring the Gravitational
In introductory physics laboratories, a
typical Cavendish balance for measuring the
uses lead spheres with
masses of 1.50 kg and 15.0 g whose centers are
separated by about
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4.50 cm. Calculate the gravitational force
between these spheres, treating each as a
particle located at the center of the sphere.
A student proposes to measure the
by suspending two
spherical objects from the ceiling of a tall
cathedral and measuring the deflection of the
cables from the vertical. Draw a free-body
diagram of one of the objects. If two 100.0-kg
objects are suspended at the lower ends of
cables 45.00 m long, and the cables are attached
to the ceiling 1.000 m apart, what is the
separation of the objects?
Section 13.3 Free-Fall Acceleration and the
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