With what acceleration will a ball with a mass of 0.5 kg float up under water if the force of gravity acting

With what acceleration will a ball with a mass of 0.5 kg float up under water if the force of gravity acting on it is 5N Archimedean force 10N and the average force of resistance to motion 2N?

Let us find the resultant of all forces acting on the ball, according to Newton’s second law: ma = – F1 + F2 – F3, where the downward gravity force is F1 = 5N, the upward Archimedean force is F2 = 10N and the average downward resistance force is F3 = 2H. The sign of the projection of the force vectors depends on their direction. Ball mass m = 0.5 kg. Let us express the acceleration from Newton’s second law: a = (- F1 + F2 – F3): m. To determine with what acceleration the ball under water will float, we substitute the known values ​​of physical quantities and find it: a = (-5H + 10H – 2H): 0.5 kg = 6 N / kg = 6 m / (s • s) .
Answer: with acceleration a = 6 m / (s • s) a ball under water will float up.