An orbiting satellite has a mass of 5000 kg and is travelling at a constant velocity of V0. To alter its orbit, an attached rocket discharges 100 kg of gases from the reaction of solid fuel at a speed of 3000 m/s relative to the satellite in a direction opposite V0. The fuel discharge rate is constant for 2 s. Determine (a) The thrust exerted on the satellite. (b) The acceleration of the satellite during this 2 s period. (c) The change of velocity of the satellite during this time period.

Q4. As shown in the image below, the freight cars A and B are approaching each other, and they have a mass of mA = 23 Mg and mB = 15 Mg, respectively. The directions of their initial velocities are shown in the image, and the speeds are VÃ,1 · 2.5 m/s and VB,1 = 2.1 m/s. If the two cars collide and get stuck together, then move with the same velocity, determine their common velocity after the collision. Right is considered the positive direction and negative sign must be included if they move to the left after the collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. A Your Answer: VA,1 Answer units B VB.1

During terrible weather at a ski-flying world championship, a ski jumper tried to adjust for bad conditions midway down the ramp but completely lost control and tumbled wildly off the side at its bottom into a scattering crowd. The 73-kg jumper left the ramp about 45 m lower than his starting position. If the ski jumper had simply fallen straight down 45-m rather than skiing down a ramp, would his kinetic energy increase?

During an Olympic 100-m sprint race, Usain Bolt, the world record holder in that race, quickly accelerates to his top speed of 12.4 m/s. Analysis of his technique has shown that each of his feet make contact with the ground for 0.0800 s, exerting a force of magnitude 2.80 x 10° N during this contact. This allows the 94.0 kg Bolt to leap forward and remain airborne for 0.120 s until the next foot touches the ground. (Ignore air resistance.) (a) What are the magnitudes of the horizontal and vertical components of the force (in N) Bolt's feet exert on the ground? (Round your answers to at least three significant figures.) horizontal N vertical (b) Assuming that the sprinter accelerates at a constant rate while his feet are in contact with the ground and does not slow down when he is airborne, by what amount does Bolt's horizontal speed (in m/s) increase with each step? (Round your answer to at least three significant figures.) m/s (c) Assuming that the sprinter's speed increases at a…