Space probes may be attached to their launchers by exploding bolts, which can be used to separate the parts after takeoff. suppose a 4800-kg satellite uses this method to separate from the 1400-kg remains of its launcher, and that a total of 4850 j of energy is supplied to the two parts by the explosion. this process is "perfect" in the sense that the energy is transferred entirely to the motion of the system, rather than any deformations or other internal energy changes.

Since the pully is a simple machine so the mechanical advantage is a 1

Distance covered, s = 8ft - 4ft = 4 ftinitial velocity, u = 34 ft/sthe acrobat is moving upwards and therefore, a = -g = -9.81 m/s^2 = 32.19 ft/s^2applying equation of motion; s = ut -1/2gt^2then,4 = 34t -1/2*32.19t^24 = 34t - 16.095t^2rearranging; -16.095t^2 + 34t - 4 = 0solving the quadratic equation; t = {-34 +/- sqrt [34^2 - 4(-16.)]}/2(-16.095) = 1.06 +/- 0.93 = 0.13 or 1.99the acrobat will take 0.13 seconds to be at 8 ft above the ground. additionally, once at the maximum height, the acrobat will move down and be at the same spot (that is height) after 1.99 seconds moving down.

Gravity, from the center of mass of the box, extending downward normal force, from the floor under the box, extending upward, equal to gravity push force, acting at a point on the box, extending in the direction of motion friction, acting at any point on the box directly opposite the push, extending directly opposite to the motion