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Chapter 13: Q. 9 (page 353)
What is the free-fall acceleration at the surface of (a) the moon and (b) Jupiter?
The free-fall acceleration at the surface of (a) the moon is ; and (b) Jupiter is
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shows a particle of mass m at distance from the center of a very thin cylinder of mass and length . The particle is outside the cylinder, so .
a. Calculate the gravitational potential energy of these two masses.
b. Use what you know about the relationship between force and potential energy to find the magnitude of the gravitational force on when it is at position
In Problems 64 through 66 you are given the equation(s) used to solve a problem. For each of these, you are to
a. Write a realistic problem for which this is the correct equation(s).
b. Draw a pictorial representation.
c. Finish the solution of the problem.
Three stars, each with the mass of our sun, form an equilateral triangle with sides 1.0 x 1012 m long. (This triangle would just about fit within the orbit of Jupiter.) The triangle has to rotate, because otherwise the stars would crash together in the center. What is the period of rotation?
Two meteoroids are heading for earth. Their speeds as they cross the moon’s orbit are
a. The first meteoroid is heading straight for earth. What is its speed of impact?
b. The second misses the earth by What is its speed at its closest point?
A projectile is shot straight up from the earth’s surface at a speed of . How high does it go?
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