sion, the lighter car moves at 10.0 km/h in a direction of 40 o with respect to the positive x axis. The heavier car moves at 13 km/h at -42 o wi

A space station contains 11 modules each with a mass of 13 000 kg, moves at a speed of 4.0km/s. It is equipped with an emergency collision avoidance system whereby an explosive chargecan be detonated to release one of the modules. The collision alarm sounds, and thecommander detonates a charge, releasing one of the modules at a speed of 1400 km/hwith respect to the station, directed opposite to the original direction of travel of the station.Find the resulting change in the speed of the station.

a) A certain rocket carries 60% of its initial mass as fuel. (mass of fuel is 0.6mg) What is the rocket's final speed, accelerating from rest in free space, if it burns all its fuel in a single stage? Express the answer as a multiple of vex. b) Suppose instead it burns the fuel in two stages as follows: In the first stage it burns a mass of 0.3mo of fuel. It then jettisons the first-stage fuel tank, which has a mass of 0.1mo, and then burns the remaining 0.3mo of fuel. Find the final speed in this case, assuming the same value of vex throughout, and compare.

() THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN BELOW. Block m, of mass 15 kg moving with velocity v = 33 m/s on a frictionless plane collides block mg which is connected to block m3 by a long. massless spring with spring constant k = 7000 N/m: see the figure. Each of blocks mą and mg has a mass of 5 kg. Before the collision, blocks mą and mg are stationary and the spring is relaxed. m2 Frictionless - For parts A. B and Cassume that the collision of blocks m, and ma is completely inelastic. (Because the spring is relaxed before the collision. block mạ does not move at the instant of impact therefore (m, +m2) must move through a finite displacement before any force acts on mg and cause it to move) • For parts D and Eassume that the collision of blocks m, and m, is elastic. (Because the spring is relaxed before the collision. block my does not move at the instant of impact therefore mạ must move through a finite displacement before any force acts on mg and cause it to move)…