Parts: Two masses hang from either end of a vertical rope that passes over a pulley (see gure below}. Assume the rope and pulley are massless and there is no friction in the pulley. Mass mA is greater than mass mB. Q: Find an expression for the magnitude of the acceleration, a, of the two masses. Your expression should depend on mg. mg, and g (g = 9.81 mfsz, but leave it as g) Q: Given your expression for acceleration, a, determine (numerically) the amount of time it will take (in seconds} for mass mp. to fall through a distance of 1 m. Assume min = 2 kg, me = 1kg. and use 9.81 ms2 for g. Perth: A hiker of mass m; ties a rope to a rock of mass mA, and the hiker uses this setup (see gure below) to grab onto and hold up her friend of mass mg. The coefficient of static friction between the rock and the ground is u, Assumptions: - in grabbing onto and holding up her friend. the two remain motionless. That is. all accelerations of all three masses are zero. - the mass of the hiker's friend. m:, that she holds up is the maximum mass that she could hold up given the coefcient of static friction. u. between the rock and the ground (see setup below) Q: Find an expression for the mass. mg, of the person that the hiker holds up. This expression should depend upon mix. ms. and u 1. Getting Started: State the important information and summarize the problem. If possible, include a diagram. Note any assumptions you're making. 2. Davies Plan: Devise a plan of attack before diving into the solution. Break down the problem into smaller, manageable segments. Identify which physical relationships you can apply. 3. Execute Hm: Carry out your plan, explaining each step. The argument should be easy to follow. Articulate your thought process at each step (including roadblocks). Any variables should be clearly defined, and your diagrams should be labeled. 4. Evaluate Solution: Check each solution for reasonableness. There are many ways to justify your reasoning: check the symmetry of the solution, evaluate limiting or special cases, relate the solution to situations with known solutions, check units, use dimensional analysis. andi'or check the order of magnitude of an answer. Note: if you got stuck in the Execute Plan stage and there is no