You are asked to design a spring that will give a 1160-kg satellite a speed of 2.50 m> s relative to an orbiting space shuttle. your spring is to give the satellite a maximum acceleration of 5.00g. the spring's mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible. (a) what must the force constant of the spring be? (b) what distance must the spring be compressed?