(3 points) A father and daughter are stationary on frictionless ice facing each
ID: 1403841 • Letter: #
Question
(3 points) A father and daughter are stationary on frictionless ice facing each other. If they push off from each other horizontally, which of the following statements is true. (there may be more than one correct answer.) (a) The acceleration of the center of mass of the father is less than that of the daughter. (b) The acceleration of the center of mass of the father is zero, while the daughter?s is not zero. (c) The acceleration of the center of mass of the father + daughter system is zero. (d) The point where their hands meet does not move.Explanation / Answer
There is no external force applied.
The center of mass will be at rest or move with a constant velocity unless acted by an external force.
Initially the center of mass is at rest.
Take M is the mass of father and V be his velocity. m and v be the mass and velocity of the daughter respectively.
MV + mv = 0
Since M>m, v>V and hence acceleration is less for father.
Option a is correct.
The center of mass was at rest and the acceleration was zero before the push each other and it must be same after they push each other.
Option c is correct
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