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Perform the integral numerically

  • Thread starter prabhjyot
  • Start date
10
0
need help plz urgent

An object is released from rest at an altitude h above the surface of the Earth. (a) Show that its speed at a distance r from the Earth’s center, where RE < r < RE + h, is given by
v = sqrt(2GME (1/r -1/ (RE + h) )

(b) Assume the release altitude is 500 km. perform the integral:
(Delta) t = (integral from i to f) dt = - (integral from i to f) dr/v

to find the time of fall as the object moves from the release point to the Earth’s surface. The negative sign appears because the object is moving opposite to the radial direction, so its speed is v = -dr / dt. Perform the integral numerically.
 

Gokul43201

Staff Emeritus
Science Advisor
Gold Member
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1. This belongs in the Homework & Coursework subforum.
2. We can not help you unless you follow the posting guidelines and first show your attempt at a solution.
 

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