An object at rest is suddenly broken apart into fragments A and B by an explosion. The fragment A acquires six times the kinetic energy of the fragment B. What is the ratio of their masses? Express your answer using two significant figures.

this is a multi step problem but I am just having trouble with this part of the problem. Here are the values that I correctly calculated: mass of particle 1=6 kg initial velocity for particle 1= 185i+138j final velocity for particle 1= -68.89i+-50.67j F21=-15.9e-t/96i+-100sin(2πt/96)j I am trying to find: What is the x displacement for particle 1? I think that I need to use Newtons second law to get an expression for acceleration, and then integrate but I am not getting the right answers.

Particle A and particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart, and they then fly off in opposite directions, free of the spring. The mass of A is 4.00 times the mass of B, and the energy stored in the spring was 46 J. Assume that the spring has negligible mass and that all its stored energy is transferred to the particles. Once that transfer is complete, what are the kinetic energies of each particle? (a) particle A --------- J(b) particle B --------- J

There is a large crater in Arizona called Meteor Crater. It is estimated that it was formed about 20,000 years ago by a meteorite that had a mass of about 5 x 10^10 kg and was traveling at a speed of 7.5 km/sec. How fast could this meteorite have hit the Earth (whose mass is 6 x 10^24 kg) if we assume a head-on collision?

Two masses of 3 kg and 5 kg collide head-on, the former moving to the right with the speed 5 m/s and the latter moving to the left with the speed 3 m/s. After collision they stick together. What amount of mechanical energy is lost?