Question

calculate the value of the universal gravitational constant from the given data.mass of the earth =6×10^24kg radius of the earth =6400km and the acceleration due to gravity on the surface =9.8m/s^2​

Answer 1

universal gravitational constant, G = 6.7 × 10-¹¹ Nm²/Kg²

we have to find universal gravitational constant, G

given, mass of the earth, M = 6 × 10²⁴ Kg

radius of the earth, r = 6400 km = 6.4 × 10^6 m

acceleration due to gravity on the surface of the earth, g = 9.8 m/s²

using formula, g = GM/r²

⇒G = gr²/M

= 9.8 × (6.4 × 10^6 )²/(6 × 10²⁴)

= (9.8 × 6.4 × 6.4 × 10¹²)/(6 × 10²⁴)

= 66.9013333 × 10-¹² Nm²/Kg²

≈ 6.7 × 10-¹¹ Nm²/Kg²

also read similar questions: Suppose a planet whose mass and radius both are half of earth . Calculate acceleration due to gravity on the surface of ...

https://brainly.in/question/1484508

If mass of a planet is 3 times the mass of Earth and its radius is double the radius of earth find value of acceleration...

https://brainly.in/question/14491129

Answer 2

$\huge\bold\purple{Answer:-}$

The acceleration due to gravity on the surface of the moon is 1.620 m/s2.