A missile of mass 1.20 x 102 kg is fired from a plane of mass 5.40 x 103 kg initially moving at a speed of 3.20 x 102 m/s. If the speed of the missile relative to the plane is 1.01 x 103 m/s, what is the final velocity of the plane?

Godzilla is fighting Mothra in Tokyo (again). Godzilla climbs a tall building and, while standing on the top of the building, Mothra slams into him at a speed of 460 m/s. Godzilla grabs onto Mothra during the impact and they are thrown from the top of the building. If Godzilla has a mass of 9.6 * 103 kg and Mothra has a mass of 3.2 * 103 kg, how fast are the two monsters going as they pitch from the top of the building?

A 180-g billiard ball is shot toward an identical ball at velocity  vi = 6.90 m/s.  The identical ball is initially at rest. After the balls hit, one of them travels with velocity  v1, f = (1.80 + 2.22) m/s.  What is the velocity of the second ball after the impact? Ignore effects of friction during this process. (Express your answer in vector form.) v2, f =         m/s

An unstable atomic nucleus of mass 1.62 x 1026 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.06 x 1027 kg, moves in the y direction with a speed of 6.00 x 10 m/s. Another particle, of mass 8.50 x 1027 kg, moves in the x direction with a speed of 4.00 x 10 m/s. (a) Find the velocity of the third particle. m/s (b) Find the total kinetic energy increase in the process.

During a fireworks display, a 0.280-kg bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 0.180 kg and the second piece (Piece 2) has mass 0.100 kg. Immediately after the explosion, the first piece is observed traveling to the left at a speed of4.30 m/sand the second piece is observed traveling at an angleθ = 39.0°above the horizon at a speed of 17.0 m/s.   Determine the components of the bottle rocket's velocity immediately before the explosion. Vxi  =    m/s Vyi  =    m/s

A rocket, which consists of two parts or stages, is travelling at 8.80 km/s. The first stage of the rocket, which has an approximate mass of 856 kg is ejected from the second stage and it will travels at 4.80 km/s. The second stage of the rocket has a mass of 468 kg. What is the velocity of the second stage just after the first stage is released? Give your answer in km/s to 2 decimal places

A 44.0-kg girl is standing on a 157-kg plank. Both originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity of 1.461 m/s relative to the plank. (a) What is the velocity of the plank relative to the ice surface? 1 m/s (b) What is the girl's velocity relative to the ice surface? 1 m/s Need Help? Read It Master It

An unstable nucleus of mass 1.7x10-26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.8x10-27 kg, moves in the positive y-direction with speed v1 = 5.2x106 m/s. Another particle, of mass m2 = 8.0x10-27 kg, moves in the positive x-direction with speed v2 = 3.6x106 m/s. Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the y-axis is up along the page.) magnitude          m/s direction         ° I know that the direction is 198.97, I keep getting my magnitude wrong. Help me find the magnitude