if the satellite is stopped suddenly …

CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Yatin Singh 6 years, 11 months ago
- 6 answers
Aman Kumar 6 years, 11 months ago
Ʌɐpɐʎ Ɐuɐɥsɹɐp . 6 years, 11 months ago
Aman Kumar 6 years, 11 months ago
Aman Kumar 6 years, 11 months ago
Gaurav Seth 6 years, 11 months ago
The question is incomplete.
Q. A satellite is moving Only a circular orbit around the earth Again a height 6400km if the satellite Is suddelny stopped in its orbit and allowed to fall freely towards earth find the speed with which it hits the surface of the earth.
<hr />Ans.
Height of the satellite from the surface of Earth = H = 6400 km.
Radius of Earth = R = 6400 km.
Mass of Earth = M.
G = Universal Gravitational constant.
Initial KE = 0. Speed = 0.
Gravitational potential energy of the satellite at height 6400 km
PE1 = - G M m/(H+R) = - G M m/ (2R)
= - (G M/R²) * (mR/2)
= - m g R / 2 , as gravity g on Earth's surface = GM/R²
This potential energy on the surface of Earth:
PE2 = - GMm/R = - (GM/R²) × (mR)
= - m g R
Potential Energy lost = PE1 - PE2
ΔPE = m g R/2
Kinetic energy gained = ΔKE = 1/2 m v²
1/2 m v² = m g R/2
v² = g R
v = √[g R]
= √[9.81 × 6400,000] m/s
v = 7923.64 m/s. = 28, 525 km/hr
Related Questions
Posted by M D 1 year, 5 months ago
- 1 answers
Posted by Pankaj Tripathi 1 year, 5 months ago
- 1 answers
Posted by Nekita Baraily 1 year, 5 months ago
- 2 answers
Posted by Mansi Class 9Th 1 year, 5 months ago
- 0 answers
Posted by Mohammed Javith 1 year, 5 months ago
- 0 answers

myCBSEguide
Trusted by 1 Crore+ Students

Test Generator
Create papers online. It's FREE.

CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
myCBSEguide
Nishita Tomar 6 years, 11 months ago
0Thank You