QuestionApril 21, 2025

Is this mass accumulation significant for Earth as a planot? no yes

Is this mass accumulation significant for Earth as a planot? no yes
Is this mass accumulation significant for Earth as a planot?
no
yes

Solution
4.4(142 votes)

Answer

No Explanation 1. Assess Mass Accumulation Consider the mass of Earth, approximately 5.972 \times 10^{24} kg, and typical annual mass accumulation from space dust, estimated at around 40,000 tons (or 4 \times 10^7 kg). 2. Compare Masses Calculate the ratio of accumulated mass to Earth's mass: \frac{4 \times 10^7}{5.972 \times 10^{24}} \approx 6.7 \times 10^{-18}. 3. Evaluate Significance The ratio is extremely small, indicating that the mass accumulation is negligible compared to Earth's total mass.

Explanation

1. Assess Mass Accumulation<br /> Consider the mass of Earth, approximately $5.972 \times 10^{24}$ kg, and typical annual mass accumulation from space dust, estimated at around 40,000 tons (or $4 \times 10^7$ kg).<br /><br />2. Compare Masses<br /> Calculate the ratio of accumulated mass to Earth's mass: $\frac{4 \times 10^7}{5.972 \times 10^{24}} \approx 6.7 \times 10^{-18}$.<br /><br />3. Evaluate Significance<br /> The ratio is extremely small, indicating that the mass accumulation is negligible compared to Earth's total mass.
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