Find gravitational field at a distance of 2000 km from centre of earth. (Given Rearth = 6400 km, r = 2000 km, Mearth = 6 × 1024 kg) :

Question

Find gravitational field at a distance of 2000 km from centre of earth. (Given Rearth = 6400 km, r = 2000 km, Mearth = 6 × 1024 kg) : (A) 1.53 m/s2 (B) 7.12 m/s2 (C) 3.06 m/s2 (D) 1.8 m/s2

Tardigrade Admin · Accepted Answer

g'=(GM/R3).r =(GM/R2). (r/R)=g. (1/R) =9.8×(2000/6400)=9.8×(20/64)=3.06 m/s2

Q. Find gravitational field at a distance of 2000 km from centre of earth. (Given R_earth = 6400 km, r = 2000 km, M_earth = 6 × 1024 kg) :

1.53 m/s²

7.12 m/s²

3.06 m/s²

1.8 m/s²

$g^{'} = \frac{GM}{R ^{3}} . r$
$= \frac{GM}{R ^{2}} . \frac{r}{R} = g . \frac{1}{R}$
$= 9.8 \times \frac{2000}{6400} = 9.8 \times \frac{20}{64} = 3.06 m / s^{2}$

Q. Find gravitational field at a distance of 2000 km from centre of earth. (Given Rearth = 6400 km, r = 2000 km, Mearth = 6 × 1024 kg) :

1.53 m/s2

7.12 m/s2

3.06 m/s2

1.8 m/s2