Jack and Zack are standing on a crate at rest on a frictionlesshorizontal surface. Jack has a mass of 70 kg, Zack has a mass of 45kg, and the crate has a mass of 15 kg. In what follows, we will seethat both jump of the crate. You may assume that they pushthemselves off with a speed of 4 m/s relative to the crate and in adirection that is essentially horizontal.
1) what is the final speed of the crate if Jack and Zack jumpsimultaneously, in the same direction?
2) what is the final speed of the crate if Jack and Zack jumpsimultaneously, in opposite directions?
3) what is the final speed of the crate if Jack jumps first andZack jumps a few seconds later, in the opposite direction asJack?