Two ice dancers are at rest on the ice, facing each other with their hands together. They push off on each other in order to set each other in motion. The subsequent momentum change (magnitude only) of the two skaters will be .

zero and it will be the same for each stakers.

Explanation:

From the given information

If we apply the conservation of linear momentum, we will realize that the total momentum before the two ice stakers pushed themselves is equal and it is the same as their momentum after they pushed themselves.

Similarly, before pushing each other, they are both at rest. This implies that their total momentum will be zero before pushing.

SO, if their total momentum before pushing is zero, then after pushing their momentum also will be zero.

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