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Two satelite s S1 and S2 are revolving round a planet in coplanar and concentric circular orbits of radii R1 and R2 in the same direction respectively their respective periods of revolution are1 hr and 8 hr the radius of the orbit of satellite S1 is equal to the 10 power of 4 km their relative speed when they are closest in kmph is?
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Two satelite s S1 and S2 are revolving round a planet in coplanar and ...
Understanding the Satellites' Orbits
To find the relative speed of the satellites S1 and S2 when they are closest, we first need to determine their orbital speeds.
Orbital Radius and Periods
- Satellite S1:
- Radius (R1) = 10^4 km
- Period (T1) = 1 hour
- Satellite S2:
- Radius (R2) = R1 + (R2 - R1) (assumed as R1 + d, where d is the distance between the satellites)
- Period (T2) = 8 hours
Calculating Orbital Speeds
The orbital speed (v) of a satellite can be calculated using the formula:
v = (2 * π * R) / T
- For S1:
- v1 = (2 * π * 10^4 km) / (1 hr) = (2 * π * 10^4) km/hr
- For S2:
- v2 = (2 * π * R2) / (8 hr)
Assuming R2 = R1 + d, we need to approximate R2. If we assume R2 = 2 * 10^4 km (for a simple calculation), then:
- v2 = (2 * π * 2 * 10^4) / (8 hr) = (π * 10^4) km/hr
Finding Relative Speed
To find the relative speed when the satellites are closest, we subtract their speeds:
- Relative Speed = v1 - v2
- Relative Speed = [(2 * π * 10^4) - (π * 10^4)] km/hr
- Relative Speed = (π * 10^4) km/hr
Final Relative Speed in kmph
Using the approximate value of π (3.14):
- Relative Speed ≈ 3.14 * 10^4 km/hr = 31400 km/hr
Thus, the relative speed of the satellites S1 and S2 when they are closest is approximately 31,400 km/h.
Community Answer
Two satelite s S1 and S2 are revolving round a planet in coplanar and ...
Π×10to the power of 4
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Two satelite s S1 and S2 are revolving round a planet in coplanar and concentric circular orbits of radii R1 and R2 in the same direction respectively their respective periods of revolution are1 hr and 8 hr the radius of the orbit of satellite S1 is equal to the 10 power of 4 km their relative speed when they are closest in kmph is?
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Two satelite s S1 and S2 are revolving round a planet in coplanar and concentric circular orbits of radii R1 and R2 in the same direction respectively their respective periods of revolution are1 hr and 8 hr the radius of the orbit of satellite S1 is equal to the 10 power of 4 km their relative speed when they are closest in kmph is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two satelite s S1 and S2 are revolving round a planet in coplanar and concentric circular orbits of radii R1 and R2 in the same direction respectively their respective periods of revolution are1 hr and 8 hr the radius of the orbit of satellite S1 is equal to the 10 power of 4 km their relative speed when they are closest in kmph is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two satelite s S1 and S2 are revolving round a planet in coplanar and concentric circular orbits of radii R1 and R2 in the same direction respectively their respective periods of revolution are1 hr and 8 hr the radius of the orbit of satellite S1 is equal to the 10 power of 4 km their relative speed when they are closest in kmph is?.
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