If thr radius of earth were to shrink by two percent, its mass remaining the same the accelaration due to gravity on the earth's surface would
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R = Earth's Radius
M = Earth's Mass
r = R - 2R/100
r = 100R - 2R/100
r = 98R/100
r = 49R/50
Ratio = GM/R² / GM/r²
Ratio = GMr² / GMR²
Ratio = r² / R²
Ratio = (49R/50)² / R²
Ratio = 2401R² / 2500 / R²
Ratio = 2401R² / 2500R²
Ratio = 2401 / 2500
g = 9.41 m/s²
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