Tipler6-2.P.122

Tipler6-2.P.122 - WIN11 Phys 2A Assignment 2.19 2.19 For a...

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WIN11 Phys 2A Assignment 2.19 2.19 For a spherical celestial object of radius R, the acceleration due to grav- ity g at a distance x from the center of the object is g = g 0 R 2 /x 2 , where g 0 is the acceleration due to gravity at the object’s surface and x > R . For the moon, take g 0 = 1 . 63 m/s 2 and R = 3200 km. If a rock is released from rest at a height of 5 R above the lunar surface, with what speed does the rock impact the moon? Hint: Its acceleration is a function of position and increases as the object falls. So do not use constant acceleration free-fall equations, but go back to basics. WARNING: the value given for the initial height may be di±erent for your assign- ment. CAUTION: The problem is miss-worded. Instead of “If a rock is released from rest at a height of nR above the lunar surface, with what speed . . . ” it should say “If a rock is released from rest at a distance of nR from the lunar center, with what speed . . . ” where n is an integer that however may be di±erent for di±erent students.
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Tipler6-2.P.122 - WIN11 Phys 2A Assignment 2.19 2.19 For a...

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