Araft of mass 199 kg carries two swimmers of mass 52 kg and 70 kg. the raft is initially floating at rest. the two swimmers simultaneously dive off opposite ends of the raft, each with a horizontal velocity of 4 m/s. with what velocity the raft start to move

To solve this problem we will apply the concept related to the conservation of the Momentum. We will then start considering that the amount of initial momentum must be equal to the amount of final momentum. Considering that all the objects at the initial moment have the same initial velocity (Zero, since they start from rest) the final moment will be equivalent to the multiplication of the mass of each object by the velocity of each object, so

Initial Momentum = Final Momentum

Here,

=  mass of Raft

= Mass of swimmers 1

= Mass of swimmers 2

= Initial velocity (of the three objects)

= Velocity of Raft

Replacing,

Solving for

Therefore the velocity the rarft start to move is 0.3618m/s

attach the statements so i can answer : )

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft