If the angular momentum of a satellite of mass 400 kg moving around the earth in radius 4 × 107 m is y × 1012 kg m 2 s -1, then find y. (Answer should be perfect integer)

Question

If the angular momentum of a satellite of mass 400 kg moving around the earth in radius 4 × 107 m is y × 1012 kg m 2 s -1, then find y. (Answer should be perfect integer) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Angular momentum =m v r. =m √(G M/r) r =400 × √(6.6 × 10-11 × 6 × 1024/4 × 107) × 4 × 107 =3.14 × 103 × 16 × 109 =50.24 × 1012 kg m 2 s -1

Q. If the angular momentum of a satellite of mass $400 k g$ moving around the earth in radius $4 \times 1 0^{7} m$ is $y \times 1 0^{12} k g m^{2} s^{- 1}$ , then find $y$ .
(Answer should be perfect integer)

Angular momentum
$= m v r$ .
$= m \frac{GM}{r} r$
$= 400 \times \frac{6.6 \times 1 0 ^{- 11} \times 6 \times 1 0 ^{24}}{4 \times 1 0 ^{7}} \times 4 \times 1 0^{7}$
$= 3.14 \times 1 0^{3} \times 16 \times 1 0^{9}$
$= 50.24 \times 1 0^{12} k g m^{2} s^{- 1}$

Q. If the angular momentum of a satellite of mass 400kg moving around the earth in radius 4×107m is y×1012kgm2s−1, then find y. (Answer should be perfect integer)

Angular momentum =mvr. =mrGM​​r =400×4×1076.6×10−11×6×1024​​×4×107 =3.14×103×16×109 =50.24×1012kgm2s−1

Q. If the angular momentum of a satellite of mass $400 k g$ moving around the earth in radius $4 \times 1 0^{7} m$ is $y \times 1 0^{12} k g m^{2} s^{- 1}$ , then find $y$ .
(Answer should be perfect integer)

Angular momentum
$= m v r$ .
$= m \frac{GM}{r} r$
$= 400 \times \frac{6.6 \times 1 0 ^{- 11} \times 6 \times 1 0 ^{24}}{4 \times 1 0 ^{7}} \times 4 \times 1 0^{7}$
$= 3.14 \times 1 0^{3} \times 16 \times 1 0^{9}$
$= 50.24 \times 1 0^{12} k g m^{2} s^{- 1}$