A person sits in a boat resting on the surface of the lake at some point he gets up and goes to the bow of the boat

A person sits in a boat resting on the surface of the lake at some point he gets up and goes to the bow of the boat what will happen with the boat to explain the phenomena on the basis of the law of conservation of momentum.

In a closed system of bodies, the total impulse of all bodies included in the system remains unchanged: rh + rl = rh “+ rl”.

rh – the impulse of a person before the start of the movement, rl – the impulse of the boat before the start of the movement,

rh “- the impulse of a person during movement, rl” – the impulse of the boat during movement.

The momentum of a body p is a vector quantity equal to the product of the body’s mass m by its velocity V: p = m * V.

mh * Vh + ml * Vl = mh * Vh “+ ml * Vl”.

Since a person is at rest in a stationary boat, their speeds are equal to 0, which means that the total impulse before the start of movement is 0.

mh * Vh + ml * Vl = 0.

This means that after the start of the movement, the total impulse should be equal to 0.

mh * Vh “+ ml * Vl” = 0.

mh * Vh “= – ml * Vl”.

The sign “-” means that the boat is moving in the opposite direction to the direction of movement of the person. The man goes to the bow, and the boat moves towards him.