Imagine you are a NASA engineer, and you are asked to design an airbag to protect the Mars Pathfinder from its impact with the Martian plain when it lands. Your system can allow an average force of up to 53,000 N on the spacecraft without damage. Your Pathfinder mock-up has a mass of 540 kg. If the spacecraft will strike the planet at 24 m/s, what is the minimum time for your airbag system to bring Pathfinder to rest so that the average force will not exceed 53,000 N?

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?