The balloon moves downward evenly. What kind of ballast will need to be thrown in order for the ball to stop?

The balloon moves downward evenly. What kind of ballast will need to be thrown in order for the ball to stop? Air resistance force 7N.

Given:

m is the mass of a balloon moving uniformly downward;

Fresistance = 7 Newton – force of air resistance;

g = 10 m / s ^ 2 – acceleration of gravity.

It is required to determine the mass of ballast m (kilogram), which must be thrown out of the balloon in order for it to stop.

When the ball moves evenly downward, forces act on it, equal:

F gravity = Farkhimedean + F resistance;

m * g = Farchimedean + Fresistance (1).

When the ball stops, the equation of equality of forces will be as follows:

F gravity1 = Farkhimedov;

m1 * g = Farkhimedov (2), where m1 is the mass of the ball, taking into account the dropped ballast.

Then, subtracting the second from the first equation, we get:

m * g – m1 * g = Farkhimedean + Fresistance – Farkhimedean;

g * (m – m1) = Fresistance;

m – m1 = Fresistance / g = 7/10 = 0.7 Newton.

The difference between m and m1 (the mass of the ball before dumping the ballast and the mass of the ball after dumping the ballast) is the mass of the ballast.

Answer: You need to drop the ballast with a mass of 0.7 Newton.