An object at rest explodes, breaking into two pieces. One piece (m2) has six times the kinetic energy of the other piece (m1).   (a) What is the ratio of the masses of the two pieces?      m1/m2 = ?

In the figure below, a 3.1 kg box of running shoes slides on a horizontal frictionless table and collides with a 1.8 kg box of ballet slippers initially at rest on the edge of the table, at height = 0.40 m. The speed of the 3.1 kg box is 5.0 m/s just h before the collision. If the two boxes stick together because of packing tape on their sides, what is their kinetic energy just before they strike the floor? ។ h

A lumberjack is standing on a log floating on a lake. She starts from rest, then runs along the log to the end, when she jumps from the first log onto a second. After landing safely on the second log, she slows down and ends up standing on the second log. Both logs both have masses of 150 kg each and the mass of the lumberjack is 70 kg. The lumberjack reaches a speed of 7.0 m/s relative to the shore during her jump. What is the speed of the lumberjack after she has stopped on the second log? You may assume the drag of the water on the logs is very small. Please answer in units of m/s.

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

A lumberjack is standing on a log floating on a lake. She starts from rest, then runs along the log to the end, when she jumps from the first log onto a second. After landing safely on the second log, she slows down and ends up standing on the second log. Both logs both have masses of 150 kg each and the mass of the lumberjack is 70 kg. The lumberjack reaches a speed of 7.0 m/s relative to the shore during her jump. What are the speeds of the two logs and of the lumberjack after she has stopped on the second log? You may assume the drag of the water on the logs is very small.

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?

This amazing summer adventure is finally winding down with some pool. Unfortunately, this pool table is wonky and some of the balls are larger than the others! Anthony hits the cue ball (mass = 0.15 kg) and it moves at 5 m/s when it strikes head on into the number 3 ball (mass = 0.30 kg). After this inelastic collision, the cue ball moves off at 60 degrees relative to the +x axis and the number 3 ball moves off at -30 degrees relative to the +axis as shown. What were the speeds of the two balls after the collision?

Two blocks of masses M and 3M are placed on a horizontal, frictionless surface. A light spring is attached to one of them, and the blocks are pushed together with the spring between them. A cord holding them together is burned, after which the block of mass 3M moves to the right with a speed of 55.1 m/s. What is the speed of the block of mass M?