The acceleration due to gravity becomes weaker by about three parts in ten million for each meter of increased elevation above the Earth's surface. Suppose a skyscraper is 100 stories tall, with the same floor plan for each story and with uniform average density. Compare the location of the building’s center of mass and the location of its center of gravity. Choose one: (a) Its center of mass is higher by a distance of several meters, (b) Its center of mass is higher by a distance of several millimeters, (c) Its center of mass and its center of gravity are in the same location, (d) Its center of gravity is higher by a distance of several millimeters, (e) Its center of gravity is higher by a distance of several meters.
The acceleration due to gravity becomes weaker by about three parts in ten million for each meter of increased elevation above the Earth's surface. Suppose a skyscraper is 100 stories tall, with the same floor plan for each story and with uniform average density. Compare the location of the building’s center of mass and the location of its center of gravity. Choose one: (a) Its center of mass is higher by a distance of several meters, (b) Its center of mass is higher by a distance of several millimeters, (c) Its center of mass and its center of gravity are in the same location, (d) Its center of gravity is higher by a distance of several millimeters, (e) Its center of gravity is higher by a distance of several meters.
Solution Summary: The author explains that the center of mass is higher by a distance of several millimeters. The gravitational pull is weaker by about three parts in ten million on the higher stories.
The acceleration due to gravity becomes weaker by about three parts in ten million for each meter of increased elevation above the Earth's surface. Suppose a skyscraper is 100 stories tall, with the same floor plan for each story and with uniform average density. Compare the location of the building’s center of mass and the location of its center of gravity. Choose one: (a) Its center of mass is higher by a distance of several meters, (b) Its center of mass is higher by a distance of several millimeters, (c) Its center of mass and its center of gravity are in the same location, (d) Its center of gravity is higher by a distance of several millimeters, (e) Its center of gravity is higher by a distance of several meters.
Do Chapter 12, Problem 26. This is one way to measure a person's center of mass. She lies on a plank on two scales: one at her head, the other at her feet. They are 1.89 meters apart. Her head scale reads 433 N, and her foot scale reads 341 N.
How far from her feet is her center of mass?
A thin rod of length 2.6 meters has a non-uniform density given by ρρ = b(x2 + ax) where b = 1.18 kg/m3, a = 0.32 m, and x measures from one of the rod to the other. Find the rod's center of mass.
A meter stick has a center of mass at the 50 cm mark. Using two fingers, one at the 20 cm mark and the other at the 30 cm mark, you hold the meter stick in a horizontal, stationary position. Given the force at the 20 cm mark is 2 N, find the mass of the meter stick.
Chapter 12 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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