A person of mass is standing on one end of a plank of mass and length and floating in the water. The person moves from one end to another and stops. The displacement of the plank is
Step 1: Given data
Mass of the person
Mass of the plank
Length of the plank
The diagrammatic representation of the given data is:
Step 2: Formula used
Conservation of momentum
Initial momentumFinal momentum
Step 3: Solution
Let the displacement of the plank is , the velocity of the person with respect to the plank be and the velocity of plank is opposite direction is
According to the law of conservation of momentum
Hence, the correct option is .