Asked by darlene
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An object’s weight depends on its height above the surface of the earth. If a man weighs 190 pounds on the surface of the earth, then the man's weight in pounds (W) x miles above the surface is approximated by the formula:
W = (190⋅4,000^2) / (4,000+x)^2
For each problem below, approximate the weight of a 190-pound person at the given height above the surface of the earth.
Remember, 1 mile = 5,280 feet.
1. 100 miles
2. 1,000 miles
3. 1,056,000 feet
4. 10,000,000 feet
my work 180 pds 121.6 pds 172 pds around 87 pds
An object’s weight depends on its height above the surface of the earth. If a man weighs 190 pounds on the surface of the earth, then the man's weight in pounds (W) x miles above the surface is approximated by the formula:
W = (190⋅4,000^2) / (4,000+x)^2
For each problem below, approximate the weight of a 190-pound person at the given height above the surface of the earth.
Remember, 1 mile = 5,280 feet.
1. 100 miles
2. 1,000 miles
3. 1,056,000 feet
4. 10,000,000 feet
my work 180 pds 121.6 pds 172 pds around 87 pds