Answer:
v = -\frac{n \ m}{M} \ v'
for the man to return to the ship he must throw the balls in the opposite direction of the ship
Explanation:
For this exercise we can use the conservation of momentum. Let's form a system made up of man and baseballs.
Initial instant. Before throwing the balls
p₀ = 0
Final moment. After throwing the balls
[tex]p_{f}[/tex] = M v + n m v '
where M is the mass of the man, m is the mass of each ball and n is the number of balls
, v isthe speed man and v' is the speed ball
Since the forces are internal, the momentum of the system is conserved
p₀ = p_{f}
0 = M v + n m v ’
[tex]v =- \frac{n \ m}{M} \ v'[/tex]
If we analyze this expression, for the man to return to the ship he must throw the balls in the opposite direction of the ship
