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A rocket is fired ‘vertically’ from the surface of mars with a speed of 2 km s−1 . If 20 percent of its initial energy is lost due to Martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it? Mass of mars = 6.4 x 1023kg; radius of mars = 3395 km; G = 6.67 x 10-11 N m2 kg-2
  • a)
    525 km
  • b)
    465 km
  • c)
    435 km
  • d)
    495 km
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A rocket is fired ‘vertically’ from the surface of mars wi...
Initial velocity of  the rocket , v = 2 km/s = 2 x 103 m/s
Mass of mars, M = 6.4 x 1023 kg
Radius of Mars, R = 3395 km = 3.395 x 106 m
universe gravitational constant, G = 6.67 x 10-11 Nm2 kg-2
 
Initial kinetic energy of the rocket 
Initial potential energy of the rocket 
Total initial energy
If 20% of initial kinetic energy is lost due to martian atmospheric resistance, then only
80% of its kinetic energy helps in reaching a height.
Total initial energy available 
Maximum height reached by the rocket = h
at this height, the velocity and hence,
the kinetic energy of the rocket will become zero
Total energy of the rocket at height h 
Applying the law of conservation of energy for the rocket, we can write :
 
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A rocket is fired ‘vertically’ from the surface of mars with a speed of 2 km s−1 . If 20 percent of its initial energy is lost due to Martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it? Mass of mars = 6.4 x 1023kg; radius of mars = 3395 km; G = 6.67 x 10-11 N m2 kg-2a)525 kmb)465 kmc)435 kmd)495 kmCorrect answer is option 'D'. Can you explain this answer?
Question Description
A rocket is fired ‘vertically’ from the surface of mars with a speed of 2 km s−1 . If 20 percent of its initial energy is lost due to Martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it? Mass of mars = 6.4 x 1023kg; radius of mars = 3395 km; G = 6.67 x 10-11 N m2 kg-2a)525 kmb)465 kmc)435 kmd)495 kmCorrect answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A rocket is fired ‘vertically’ from the surface of mars with a speed of 2 km s−1 . If 20 percent of its initial energy is lost due to Martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it? Mass of mars = 6.4 x 1023kg; radius of mars = 3395 km; G = 6.67 x 10-11 N m2 kg-2a)525 kmb)465 kmc)435 kmd)495 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rocket is fired ‘vertically’ from the surface of mars with a speed of 2 km s−1 . If 20 percent of its initial energy is lost due to Martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it? Mass of mars = 6.4 x 1023kg; radius of mars = 3395 km; G = 6.67 x 10-11 N m2 kg-2a)525 kmb)465 kmc)435 kmd)495 kmCorrect answer is option 'D'. Can you explain this answer?.
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