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1. In introductory physics laboratories, a typical Cavendish balance for measuring
the gravitational constant G uses lead spheres with masses of 1.50 kg and 15.0 g
whose centers are separated by about 4.50 cm. Calculate the gravitational force
between these spheres, treating each as a particle located at the sphere’s center.
2. 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 values.
3. A 200-kg object and a 500-kg object are separated by 4.00 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 from the other two
objects?
4. During a solar eclipse, the Moon, the Earth, and the 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? (d) Compare the answers to parts (a) and
(b). Why doesn’t the Sun capture the Moon away from the Earth?
5. 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? Model the ships as
particles.
6. Three uniform spheres of masses m1 = 2.00 kg, m 2 = 4.00 kg, and m3 = 6.00 kg are
placed at the corners of a right triangle as shown in Figure P13.6. Calculate the