Figure shows a 20-kg ladder leaning against a frictionless wall and resting on a frictionless horizontal surface.

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Figure shows a 20-kg ladder leaning against a frictionless wall and resting on a frictionless horizontal surface. To keep the ladder from slipping, the bottom of the ladder is tied to the wall with a thin wire; the tension in the wire is 29.4 N. The wire will break if the tension exceeds 200 N.

(a) If an 80-kg person climbs halfway up the ladder, what force will be exerted by the ladder against the wall?

(b) How far up can an 80-kg person climb this ladder?

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