Calculate the value of acceleration due to gravity on the surface of earth if mass of the earth is 6 × 10 24 kg and radius of earth is 6400 km
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Answer:
( M = 6 xx 10^(24) Kg, R = 6400 Km) Data : M=6×1024Kg, = R= 6400 Kg = 6.4×106 m . G=6.67×10-11N.
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Answer:
The value of acceleration due to gravity on the surface of the earth is 9.8 m/s².
Explanation:
The mass of the earth, M = 6 × 10²⁴ Kg
The radius of the earth, R = 6400 km = 6.4 × 10⁶ m
The universal gravitational constant, G = 6.67 × 10⁻¹¹ Nm²/Kg²
The value of the acceleration due to gravity can be found using the equation,
g = GM /R²
= (6.67 × 10⁻¹¹ × 6 × 10²⁴) / (6.4 × 10⁶)²
= (40.02 × 10¹³) / (40.96 × 10¹²)
= 0.97705 × 10¹³ × 10⁻¹²
= 0.97705 × 10
= 9.7705
≈ 9.8 m/s²
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