Answer:
a) 0.618 ft/s
b) 3.04 ft/s
Explanation:
<u>Givens:</u>
Weight of swimmer A
= 190 Ib.
Weight of swimmer B
= 125 Ib.
Weight of the raft
= 300 Ib.
Swimmer A walks toward swimmer B relative to the raft with a speed
= 2 ft/s
<em>a)</em><em> Conservation of linear momentum </em>

Since swimmer B does not move

Substitute from (2) and (3) into (1)

b) if the raft not to move 
from (2)

substitute in (1)

The answer to your question is a vacuum.
Answer:
M = F/3μ g - M₁/3
Explanation:
To solve this exercise we must use the equilibrium conditions translations
∑ F = 0
In the attachment we can see a free body diagram of each block
Block M (upper)
X axis
fr₁ + F₂ -F = 0
F = fr₁ + F₂ (1)
axis
N₁-W = 0
N₁ = Mg
the friction force has the formula
fr₁ = μ N₁
F = μ Mg + F₂
bottom block
X axis
F₂ - fr₁ - fr₂ = 0
F₂ = fr₁ + fr₂
Y axis
N - W₁ -W = 0
N = g (M + M₁)
we substitute
F₂ = μ Mg + μ (M + M1) g
F₂ = μ g (2M + M₁)
we substitute in 1
F = μ M g + μ g (2M + M₁)
F = μ g (3M + M₁)
we look for mass M
M = (F - μ g M₁)/ 3μ g
M = F/3μ g - M₁/3
the exercise does not have numerical data