A cord of length h = 64 m is used to connect an astronaut (m = 100 kg) to a spaceship (M >>m) which is orbiting near the earth's surface as shown in the figure. Assuming that the spaceship and the astronaut fall on a straight line from the earth's center, then the tension in the cord is close to [R = 6400 km]
Text Solution
Verified by ExpertsA
3 x 10 -2 N
According to given problem, the mass of satellite M is much greater than that of astronaut m. So the center of mass of the system will be close to satellite and as the satellite is orbiting close to the surface of earth, the equation of motion of the system (S + A) will be-
And the equation of motion of the astronaut will be
In the light of equation (i), above equation reduces to
So substituting the given data,
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems