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In: Physics

In 2005, the Earth's magnetic field was about 10% weaker than it was in 1845 when...

In 2005, the Earth's magnetic field was about 10% weaker than it was in 1845 when German mathematician Carl Friedrich Gauss first measured it. If the magnetic field continues to weaken by 10% of its current value every 160 years, approximately when will it be half of its 1845 value? When will it be only 35% of its 1845 value? (Note that we are supposing, in this question, that after 320 years the strength of the field is 90% of 90%—or 81% of its original value.) Round all answers to the nearest year.

The magnetic field will be half of what it was in 1845 about ______years after 1845 or_____________ in the year  .

The magnetic field will be only 35% of its value in 1845 about ___________ years after 1845 ____________ or in the year  .

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