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Woman skating across ice lake

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A 500 N woman stands in the middle of a frozen lake of radius lOOm. The ice is frictionless so she can't walk. She decides to sacrifice one of her 0.5 kg shoes and throws it horizontally at 5 m/s. How long does it take her to reach the shore?

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Solution Summary

The solution calculates the amount of time someone takes to reach a shore on top of ice.

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Note that the womans weight W is given.

Therefore her mass is M = W/g

where g is the free fall acceleration.

Also, I assume that this is the weight of the woman without any shoes on.

The initial momentum of the woman and her shoes is zero (they don't move).

Thus Pi = 0 (i subscript indicates initial)

Let the woman's velocity after she throws the shoe be ...

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