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A block of mas M is pulled along a horizontal frictionless surface by a rope of mass m, as shown in Fig. 3-37. A horizontal force is applied to one end of the rope. Assuming that the sag I the rope is negligible, find (a) the acceleration of rope and block, and (b) the force that the rope exerts on the block. As 1.0 s, 0.1 s, 0.01s, and 0.001 s. Show the results on a single graph. How does the highest point vary with the step size? (b) Numerically generate distance-time graphs for the object, using a step size of ∆t = 0.01 s. Now, however, try non-zero values for b, such as 0.1 N∙s/m, 0.5 N∙s/m, 5.0 N∙s/m, and 10.0 N∙s/m. How does the highest point vary with b? What do you notice about the shape of the graphs as b increases?
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