Achild is sliding down a slide at the playground. is the mechanical energy conserved. why or why not.
a the mechanical energy isn't conserved. some energy is lost to gravity
b the mechanical energy is conserved. there is as ke at the end as there was pe at the beginning
c. the mechanical energy isn't conserved. some energy was lost to friction
d. mechanical energy is always conserved

To place a communications satellite into a geosynchronous orbit at an altitude of 22,240 mi above the surface of the earth, the satellite first is released from a space shuttle , which is in a circular orbit at an altitude of 185 mi, and then is propelled by an upper-stage booster to its final altitude. as the satellite passes through a, the booster's motor is fired to insert the satellite into an elliptic transfer orbit. the booster is again fired at b to insert the satellite into a geosynchronous orbit. knowing that the second firing increases the speed of the satellite by 4810ft/s, determine (a.) the speed of the satellite as it approaches b on the elliptic transfer orbit, (b.) the increase in speed resulting from the first firing at a.