Traditional Culture Encyclopedia - Hotel franchise - The height of people and balloons from the ground is h, just suspended in the air, the mass of balloons is m, and the mass of people is m, so people should get to the ground safely from the soft rope

The height of people and balloons from the ground is h, just suspended in the air, the mass of balloons is m, and the mass of people is m, so people should get to the ground safely from the soft rope

The height of people and balloons from the ground is h, just suspended in the air, the mass of balloons is m, and the mass of people is m, so people should get to the ground safely from the soft rope tied under the gas. The external force of the balloon and human system is zero, so the momentum is conserved.

Suppose that the descending speed of people is V 1 and the ascending speed of balloons is V2.

There is mV 1 = MV2. It takes t to get people down to the ground.

Then V 1*t = h, and the rising distance of the balloon is v2 * t = MTV1/m = hm/mm = hm/m.

So the soft residual length is at least h+hm/m.