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Pad 2:25 PM (a) Determine the total force on the spacecraft. (b) What is the dif

ID: 1781548 • Letter: P

Question

Pad 2:25 PM (a) Determine the total force on the spacecraft. (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in acceleration grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.) N/kg Need Help? RoadWatch Watch It 3. + -/1 points SerPSET9 13.P.037 My Notes Ask Your Teacher A 450 kg satellite is in a circular orbit at an altitude of 550 km above the Earth's surface. Because of air friction, the satellite eventually falls to the Earth's surface, where it hits the ground with a speed of 2.50 km/s. How much energy was transformed into internal energy by means of air friction? Need Help? Read It Submit Assignment Save Assignment Progress Home My Assignments Extension Request WebAssign® 4.0 © 1997-2017 Advanced Instructional Systems, Inc. All rights reserved.

Explanation / Answer

3) Orbital radius R = H+Re = 550E3 + 6.376E6 = 6.926E6 m

In orbit, Vo² = G*Me/R = 57.59E6 m²/s²
Ergo, KEo = ½m*Vo² = 1.5117E10 J
Also,
GPE = GMe*m*(1/Re - 1/R) = 2.608E9 J

When it hits earth, KE2 = ½m*Vf² = ½*450*2500² = 1.4E9 J

Energy lost to heat EL = KEo + GPE - KE2 = 1.633E10 J