QuestionR.3. The playful handyman needs to ascend a ladder leaned up against a wall but he has a bit of an issue: there is no friction between the ladder and the wall and there is only a small coefficient of static friction between the ladder and the ground. He decided to approach the problem with his signature levity. He went on down to his local specialty balloon store and purchased a hydrogen balloon of large volume V. Hydrogen has a density PH much smaller than that of air, pair (about 7% of Pair at STP, but you should just leave your answers in terms of PH and Pair for this question). With this balloon in hand, the handyman is now able to ascend 2/3 up the ladder. Assume the ladder has length L and mass M while the handyman has mass m. The ladder makes an angle 0 with the ground. (a) What is the tension T in the balloon string? (b) What is the minimum value of the coefficient of static friction between the ladder and the ground, umin; required to avoid the ladder slipping? (c) Was the handyman's idea effective? The balloon reduces the force of static friction required but it also reduces the normal force between the ground and the ladder, so it isn't obvious what the net effect is. Hint: compare the minimum coefficient of static friction required with and without the balloon. If the minimum coefficient of static friction required with the balloon is smaller than that required without it, the idea was effective. By setting pH = Pair in your expression for Pmin

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