You will solve the following three force problems using the IDEAS method. Be extremely thorough and show every step. Your work must follow the five-step IDEAS process: I - Identify, D - Diagram, E - Equation, A - Algebra, S - Solution. I - IDENTIFY ------------- - List all known (given) quantities and unknowns (finds). - Include any pit stops (intermediate values you need to calculate). - Always write units. - Use consistent variable names (color-coding optional). D - DIAGRAM ------------ - DRAW a Free Body Diagram (FBD) for each problem. - Each force must be an arrow starting from the object's center. - Label all forces (Fg, FN, T, fk, etc.) and directions. - If multiple objects exist, draw a separate FBD for each. - For inclines, resolve weight into mg*sin(theta) and mg*cos(theta) components. E - EQUATION ------------- - Write Newton's 2nd Law equations for each object in each direction (x and y). - Make sure your equations match your FBD. - Keep the variable notation consistent between Identify and Equation steps. A - ALGEBRA ------------ - Show all algebraic steps symbolically first. - Simplify and isolate the unknown quantity before substituting numbers. - Make sure the equation is dimensionally correct (units make sense). S - SOLUTION ------------- - Substitute the known values with units. - Include all intermediate steps and round properly. - Box or highlight your final answers with correct units and significant figures.

Problem 1 Atwood's Machine Two masses are connected by a light, inextensible rope over a frictionless pulley. * m, = 2.50 kg (left side) * mz = 5.00 kg (right side) Find: 1. The acceleration (a) of the system 2. The tension (T) in the rope Use g = 9.80 m/s'. Problem 2 Block on Rough Horizontal Surface A 4.00 kg block slides to the right across a horizontal rough surface. The coefficient of kinetic friction is p, = 0.120. There is no applied force. Find: 1. The acceleration (a) of the block (magnitude and direction) Use g = 9.80 m/s\". Problem 3 Block on Incline A 3.00 kg block slides down a rough incline of angle 6 = 30.0 at constant speed. Find: 1. The coefficient of kinetic friction (,) Use g = 9.80 m/s*