# Chapter 6 - Dynamics I: Motion Along a Line - Exercises and Problems - Page 161: 10

(a) T = 0 (b) T = 0 (c) T = 250 N

#### Work Step by Step

Since the surface is frictionless, the only possible horizontal force is the force from the tension in the rope. (a) Since the box is at rest, $T = 0$ (b) Since the box is moving at a steady speed, the acceleration is zero. Therefore, $T = 0$ (c) We can use a force equation to find $T$ $T = ma_x$ $T = (50~kg)(5.0~m/s^2)$ $T = 250~N$

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