Two blocks of masses m 1 and m 2 approach each other ona horizontal table with the same constant speed, v 0, as measuredby a laboratory observer. The blocks undergo a perfectlyelastic collision, and it is observed that m 1 stops but m 2 movesopposite its original motion with some constant speed, v.(a) Determine the ratio of the two masses, m 1/m 2. (b) What isthe ratio of their speeds, v/v 0?

A 0.8 kg block of wood is sliding across a floor at 2 m/s when a half-gram nail from a nail gun travelling 67 m/s horizontally at an angle 35° relative to the direction of the block embeds itself into the wood.  (So, the 35° angle is with respect to the x-axis, with x and y both being in the horizontal plane.) (a) What would be the velocity of the block/nail system just after impact? Find also the magnitude and direction of the velocity. Assume that the impact is so fast that friction between the block and the floor can be ignored. (b) How much energy was lost during this collision?

Two manned satellites approaching one another at a relative speed of 0.300 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. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.....................m/s

H)if m, = Skg, m, = 25kg,u, = 4.5m/s and 8 = 30°, find the final speeds v and vy of the two objects. %3D i) Prove if the collision is elastic or inelastic? m2 m2