A satellite of mass m is in an elliptic orbit. Its apogee (farthest point from earth)...
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A satellite of mass "m" is in an elliptic orbit. Its apogee (farthest point from earth) "A" is at RA-6RE and perigee (closest point to earth) "P" is at Rp 2RE from the center of earth. (Note that at these points its velocity is tangential.) Its velocity at apogee is VA. The mass and radius of earth are ME and RE. 20. What are the conserved quantities in its orbital motion? (a) P and kinetic energy (b) Linear momentum P only "L" and mechanical energy "ME" (c) L only (d) L and kinetic energy 21. What is its angular momentum L at apogee? (a) 0 (b) L=6mREVA (c) 6mRAVA (d) 6MREVA (e) 6mREVA 22. What is its kinetic energy at apogee (a) KEA=P2/2m (Rp+RA)2 (b) KEA=P/2mR4 (c) KEA-L2/2mR42 (d) KEA=P2/2mRp2 (e) KEA-L/2mRp 23. How much work is done by gravity while the satellite is moving from apogee to perigee (a) W=GMm/RE (b) W=Mm/3RE (c) W=GMm/3RE (d) W=GMm/3RA (e) 0 25. What is VA in terms of RE? (a) VA=GM/12R (e) Angular momentum 24. What is its kinetic energy at perigee? (a) KEp=L/2mR42 (b) KEP-L2/2mR p2 (c) KEp=p2/2m (Rp +RA)2 (d) KEp=P2/2mR42 (e) KEp=P2/2mRp (b) VA=/Gm/6R (c) VA=Gm/12RE (d) VA=GMm/12RE (e) VA=/GM/6R A satellite of mass "m" is in an elliptic orbit. Its apogee (farthest point from earth) "A" is at RA-6RE and perigee (closest point to earth) "P" is at Rp 2RE from the center of earth. (Note that at these points its velocity is tangential.) Its velocity at apogee is VA. The mass and radius of earth are ME and RE. 20. What are the conserved quantities in its orbital motion? (a) P and kinetic energy (b) Linear momentum P only "L" and mechanical energy "ME" (c) L only (d) L and kinetic energy 21. What is its angular momentum L at apogee? (a) 0 (b) L=6mREVA (c) 6mRAVA (d) 6MREVA (e) 6mREVA 22. What is its kinetic energy at apogee (a) KEA=P2/2m (Rp+RA)2 (b) KEA=P/2mR4 (c) KEA-L2/2mR42 (d) KEA=P2/2mRp2 (e) KEA-L/2mRp 23. How much work is done by gravity while the satellite is moving from apogee to perigee (a) W=GMm/RE (b) W=Mm/3RE (c) W=GMm/3RE (d) W=GMm/3RA (e) 0 25. What is VA in terms of RE? (a) VA=GM/12R (e) Angular momentum 24. What is its kinetic energy at perigee? (a) KEp=L/2mR42 (b) KEP-L2/2mR p2 (c) KEp=p2/2m (Rp +RA)2 (d) KEp=P2/2mR42 (e) KEp=P2/2mRp (b) VA=/Gm/6R (c) VA=Gm/12RE (d) VA=GMm/12RE (e) VA=/GM/6R
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Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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