The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 × 103 km. Find the mass of Mars. text Given (4 π2/G)=6 × 1011 N-1 m-2 kg 2

Question

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 × 103 km. Find the mass of Mars. text Given (4 π2/G)=6 × 1011 N-1 m-2 kg 2  (A) 5.96 × 1019 kg (B) 3.25 × 1021 kg (C) 7.02 × 1025 kg (D) 6.00 × 1023 kg

Tardigrade Admin · Accepted Answer

T2=(4 π2/G M) ⋅ r3 M=(4 π2/G) ⋅ (r3/T2) by putting values M=6 × 1023

Q. The planet Mars has two moons, if one of them has a period $7$ hours, $30$ minutes and an orbital radius of $9.0 \times 1 0^{3} km$ . Find the mass of Mars.
${Given \frac{4 π ^{2}}{G} = 6 \times 1 0^{11} N^{- 1} m^{- 2} k g^{2}}$

$5.96 \times 1 0^{19} k g$

$3.25 \times 1 0^{21} k g$

$7.02 \times 1 0^{25} k g$

$6.00 \times 1 0^{23} k g$

$T^{2} = \frac{4 π ^{2}}{GM} \cdot r^{3}$
$M = \frac{4 π ^{2}}{G} \cdot \frac{r ^{3}}{T ^{2}}$
by putting values
$M = 6 \times 1 0^{23}$

Q. The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0×103km. Find the mass of Mars. { Given G4π2​=6×1011N−1m−2kg2}

5.96×1019kg

3.25×1021kg

7.02×1025kg

6.00×1023kg