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3. A child slides down a frictionless ramp as shown. The child's mass = M, and the angle of ramp with the horizontal = .

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3. A child slides down a frictionless ramp as shown. The child's mass = M, and the angle of ramp with the horizontal = . V V b (a) l ) Use Newton's 2'\"1 Law to nd the acceleration of the child down the ramp in terms of the coordinate systems (a) and (b). Think and Prepare: - Draw a free body diagram of the container. . Draw the components of all forces along the chosen coordinate axes. 0 Along which axes are the forces balanced? Along which axes are the forces un- balanced? 0 Which choice of the coordinate axes, has fewer mathematical components? 4. A mass of 3.0 kg hangs from a spring of spring constant k=1500 N/m. a. Draw a free body diagram. b. Calculate by how much the spring is stretched if the mass is in equilibrium

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